Shelby County Schools’ mathematics instructional maps are ... 5 Q2 16-17 wit… · Web viewIn...
Transcript of Shelby County Schools’ mathematics instructional maps are ... 5 Q2 16-17 wit… · Web viewIn...
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Mathematics Grade 5Year at a Glance 2016-2017
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Unit 1Module
Aug 10- Sept 7
Unit 2Module
Sept8-Nov 3
Unit 3Module
Nov 4-Dec 8
Unit 4Module
Dec 9- Feb 10
Unit 5Module
Feb 13- Mar 20
Unit 6Module
Mar 27- May 26
Place Value and Decimal Fractions
Multi-Digit Whole Number and
Decimal Fraction Operations
Addition and Subtraction of
Fractions
Multiplication and Division of
Fractions and Decimal Fractions
Addition and Multiplication with Volume and Area
Problem Solving with the
Coordinate Plane
5NBTA1 5OAA1 5NFA1 5OA1 5NFB4b 5OAA2
5NBTA2 5OAA2 5NFA2 5OA2 5NF6 5OAB3
5NBTA3 5NBTA1 5NBTB7 5MDC3 5GA1
5NBTA4 5NBTA2 5NFB3 5MDC4 5GA2
5NBTB7 5NBTB5 5NFB4a 5MDC5
5MDA1 5NBTB6 5NFB5 5GB3
5NBTB7 5NFB6 5GB4
5MDA1 5NF7
5MD1
5MD2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Key
Note Please use the suggested pacing as a guide
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Major Clusters Supporting Clusters Additional Clusters
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions Pacing and Preparation Guide (Omissions)
Introduction
In 2014 the Shelby County Schools Board of Education adopted a set of ambitious yet attainable goals for school and student performance The District is committed to these goals as further described in our strategic plan Destination2025 By 2025
80 of our students will graduate from high school college or career ready 90 of students will graduate on time
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100 of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals we must collectively work to provide our students with high quality college and career ready aligned instruction The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers The TN State Standards represent three fundamental shifts in mathematics instruction focus coherence and rigor
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Key
Note Please use the suggested pacing as a guide
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Major Clusters Supporting Clusters Additional Clusters
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Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions Pacing and Preparation Guide (Omissions)
Introduction
In 2014 the Shelby County Schools Board of Education adopted a set of ambitious yet attainable goals for school and student performance The District is committed to these goals as further described in our strategic plan Destination2025 By 2025
80 of our students will graduate from high school college or career ready 90 of students will graduate on time
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100 of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals we must collectively work to provide our students with high quality college and career ready aligned instruction The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers The TN State Standards represent three fundamental shifts in mathematics instruction focus coherence and rigor
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The TN Mathematics Standards
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The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Key
Note Please use the suggested pacing as a guide
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Major Clusters Supporting Clusters Additional Clusters
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions Pacing and Preparation Guide (Omissions)
Introduction
In 2014 the Shelby County Schools Board of Education adopted a set of ambitious yet attainable goals for school and student performance The District is committed to these goals as further described in our strategic plan Destination2025 By 2025
80 of our students will graduate from high school college or career ready 90 of students will graduate on time
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
100 of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals we must collectively work to provide our students with high quality college and career ready aligned instruction The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers The TN State Standards represent three fundamental shifts in mathematics instruction focus coherence and rigor
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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The TN Mathematics Standards
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The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Key
Note Please use the suggested pacing as a guide
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Major Clusters Supporting Clusters Additional Clusters
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions Pacing and Preparation Guide (Omissions)
Introduction
In 2014 the Shelby County Schools Board of Education adopted a set of ambitious yet attainable goals for school and student performance The District is committed to these goals as further described in our strategic plan Destination2025 By 2025
80 of our students will graduate from high school college or career ready 90 of students will graduate on time
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
100 of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals we must collectively work to provide our students with high quality college and career ready aligned instruction The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers The TN State Standards represent three fundamental shifts in mathematics instruction focus coherence and rigor
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions Pacing and Preparation Guide (Omissions)
Introduction
In 2014 the Shelby County Schools Board of Education adopted a set of ambitious yet attainable goals for school and student performance The District is committed to these goals as further described in our strategic plan Destination2025 By 2025
80 of our students will graduate from high school college or career ready 90 of students will graduate on time
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
100 of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals we must collectively work to provide our students with high quality college and career ready aligned instruction The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers The TN State Standards represent three fundamental shifts in mathematics instruction focus coherence and rigor
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
100 of our students who graduate college or career ready will enroll in a post-secondary opportunity
In order to achieve these ambitious goals we must collectively work to provide our students with high quality college and career ready aligned instruction The Tennessee State Standards provide a common set of expectations for what students will know and be able to do at the end of a grade College and career readiness is rooted in the knowledge and skills students need to succeed in post-secondary study or careers The TN State Standards represent three fundamental shifts in mathematics instruction focus coherence and rigor
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The TN Mathematics Standards
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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The Tennessee Mathematics Standardshttpswwwtngoveducationarticlemathematics-standards
Teachers can access the Tennessee State standards which are featured throughout this curriculum map and represent college and career ready learning at reach respective grade level
Mathematical Practice StandardsMathematical Practice Standardshttpsdrivegooglecomfiled0B926oAMrdzI4RUpMd1pGdEJTYkEview
Teachers can access the Mathematical Practice Standards which are featured throughout this curriculum map This link contains more a more detailed explanation of each practice along with implications for instructions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Standards for Mathematical Practice describe varieties of expertise habits of minds and productive dispositions that mathematics educators at all levels should seek to develop in their students These practices rest on important National Council of Teachers of Mathematics (NCTM) ldquoprocesses and proficienciesrdquo with
longstanding importance in mathematics education Throughout the year students should continue to develop proficiency with the eight Standards for Mathematical Practice
This curriculum map is designed to help teachers make effective decisions about what mathematical content to teach so that ultimately our students can reach Destination 2025
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Mathematical Practices
1 Make sense of problems and persevere in solving them
2 Reason abstractly and quatitatively
3 Construct viable arguments and
crituqe the reasoning of
others
4 Model with mathematics
5 Use appropriate tools strategically
6 Attend to precision
7 Look for and make use of
structure
8 Look for and express regularity
in repeated reasoning
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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To reach our collective student achievement goals we know that teachers must change their practice so that it is in alignment with the three mathematics instructional shifts
Throughout this curriculum map you will see resources as well as links to tasks that will support you in ensuring that students are able to reach the demands of the standards in your classroom In addition to the resources embedded in the map there are some high-leverage resources around the content standards and mathematical practice standards that teachers should consistently access
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Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Purpose of Mathematics Curriculum MapsThis Map is meant to help teachers and their support providers (eg coaches leaders) on their path to effective college and career ready (CCR) aligned instruction and our pursuit of Destination 2025 It is a resource for organizing instruction around the TN State Standards which define what to teach and what students need to
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
learn at each grade level The map is designed to reinforce the gradecourse-specific standards and contentmdashthe major work of the grade (scope)mdashand provides suggested sequencing pacing time frames and aligned resources Our hope is that by curating and organizing a variety of standards-aligned resources teachers will be able to spend less time wondering what to teach and searching for quality materials (though they may both select from andor supplement those included here) and have more time to plan teach assess and reflect with colleagues to continuously improve practice and best meet the needs of their students
The map is meant to support effective planning and instruction to rigorous standards It is not meant to replace teacher planning prescribe pacing or instructional practice In fact our goal is not to merely ldquocover the curriculumrdquo but rather to ldquouncoverrdquo it by developing studentsrsquo deep understanding of the content and mastery of the standards Teachers who are knowledgeable about and intentionally align the learning target (standards and objectives) topic text(s) task and needs (and
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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assessment) of the learners are best-positioned to make decisions about how to support student learning toward such mastery Teachers are therefore expected--with the support of their colleagues coaches leaders and other support providers--to exercise their professional judgment aligned to our shared vision of effective instruction the Teacher Effectiveness Measure (TEM) and related best practices However while the framework allows for flexibility and encourages each teacherteacher team to make it their own our expectations for student learning are non-negotiable We must ensure all of our children have access to rigormdashhigh-quality teaching and learning to grade level specific standards including purposeful support of literacy and language learning across the content areas
Additional Instructional Support
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Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Shelby County Schools adopted our current math textbooks for grades K-5 in 2010-2011 The textbook adoption process at that time followed the requirements set forth by the Tennessee Department of Education and took into consideration all texts approved by the TDOE as appropriate We now have new standards therefore the textbook(s) have been vetted using the Instructional Materials Evaluation Tool (IMET) This tool was developed in partnership with Achieve the Council of Chief State Officers (CCSSO) and the Council of Great City Schools The review revealed some gaps in the content scope sequencing and rigor (including the balance of conceptual knowledge development and application of these concepts) of our current materials
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The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The additional materials purposefully address the identified gaps in alignment to meet the expectations of the CCR standards and related instructional shifts while still incorporating the current materials to which schools have access Materials selected for inclusion in the Curriculum Maps both those from the textbooks and externalsupplemental resources (eg EngageNY) have been evaluated by district staff to ensure that they meet the IMET criteria
How to Use the MapsShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
OverviewAn overview is provided for each quarter The information given is intended to aid teachers coaches and administrators develop an understanding of the content the students will learn in the quarter how the content addresses prior knowledge and future learning and may provide specific examples of student work
Tennessee State StandardsTN State Standards are located in the left column Each content standard is identified as the following Major Work Supporting Content or Additional Content a key can be found at the bottom of the map The major work of the grade should comprise 65-85 of your instructional time Supporting Content are standards the
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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supports studentrsquos learning of the major work Therefore you will see supporting and additional standards taught in conjunction with major work It is the teachers responsibility to examine the standards and skills needed in order to ensure student mastery of the indicated standard
ContentTeachers are expected to carefully craft weekly and daily learning objectives based on their knowledge of TEM Teach 1 In addition teachers should include related best practices based upon the TN State Standards related shifts and knowledge of students from a variety of sources (eg student work samples MAP performance in the major work of the grade) Support for the development of these lesson objectives can be found under the column titled content The enduring understandings will help clarify the ldquobig picturerdquo of the standard The essential questions break that picture down into smaller questions and the learning
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targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
targetsobjectives provide specific outcomes for that standard(s) Best practices tell us that clearly communicating and making objectives measureable leads to greater student mastery
Instructional ResourcesDistrict and web-based resources have been provided in the Instructional Resources column At the end of each module you will find instructionalperformance tasks i-Ready lessons and additional resources that align with the standards in that module The additional resources provided are supplementary and should be used as needed for content support and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Vocabulary and FluencyThe inclusion of vocabulary serves as a resource for teacher planning and for building a common language across K-12 mathematics One of the goals for CCSS is to create a common language and the expectation is that teachers will embed this language throughout their daily lessons
In order to aid your planning we have included a list of fluency activities for each lesson It is expected that fluency practice will be a part of your daily instruction (Note Fluency practice is NOT intended to be speed drills but rather an intentional sequence to support student automaticity Conceptual understanding MUST
underpin the work of fluency)Grade 5 Quarter 2 Overview
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Module 2 Multi- Digit Whole Number and Decimal Fraction OperationsModule 3 Place Value and Decimal FractionsModule 4 Multiplication and Division of Fractions and Decimal Fractions
Overview
Module 2 continues with students applying the patterns of the base ten system to mental strategies and the multiplication and division algorithms Topics E through H Shelby County Schools 20162017
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provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
provide a similar sequence for division Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers ( 5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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In the same lesson 420 divide 60 is interpreted as 420 divide 10 divide 6 Next students round dividends and two-digit divisors to nearby multiples of 10 in order to estimate single-digit quotients (eg 431 divide 58 asymp 420 divide 60 = 7) and then multi-digit quotients This work is done horizontally outside the context of the written vertical method The series of lessons in Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10 Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5NBT6)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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In Topic G students use their understanding to divide decimals by two-digit divisors in a sequence similar to that of Topic F with whole numbers (5NBT7) In Topic H students apply the work of the module to solve multi-step word problems using multi-digit division with unknowns representing either the group size or number of groups In this topic an emphasis on checking the reasonableness of their answers draws on skills learned throughout the module including refining their knowledge of place value rounding and estimation
In Module 3 studentsrsquo understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals This module marks a significant shift away from the elementary gradesrsquo centrality of base ten units to the study and use of the full set of fractional units from Grade 5 forward especially as applied to algebra
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In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic A students revisit the foundational Grade 4 standards addressing equivalence When equivalent fractions represent the same amount of area of a rectangle and the same point on the number line These equivalencies can also be represented symbolically
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
Revised 9291638 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Furthermore equivalence is evidenced when adding fractions with the same denominator The sum may be decomposed into parts (or recomposed into an equal sum) An example is shown as follows
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23=2times4
3times4= 8
12
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
23=1
3+ 1
3
78=3
8+ 3
8+ 1
8
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
Revised 9291639 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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62=2
2+ 2
2+ 2
2=1+1+1=3
85=5
5+ 3
5=1 3
5
73=6
3+ 1
3=2times 3
3+ 1
3=2+ 1
3=2 1
3
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This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This also carries forward work with decimal place value from Modules 1 and 2 confirming that like units can be composed and decomposed
5 tenths + 7 tenths = 12 tenths = 1 and 2 tenths
5 eighths + 7 eighths = 12 eighths = 1 and 4 eighths
In Topic B students move forward to see that fraction addition and subtraction are analogous to whole number addition and subtraction Students add and subtract
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
Revised 9291638 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions with unlike denominators (5NF1) by replacing different fractional units with an equivalent fraction or like unit
1 fourth + 2 thirds = 3 twelfths + 8 twelfths = 11 twelfths
14+ 2
3= 3
12+ 8
12=11
12
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This is not a new concept but certainly a new level of complexity Students have added equivalent or like units since kindergarten adding frogs to frogs ones to ones tens to tens etc
1 boy + 2 girls = 1 child + 2 children = 3 children
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
Revised 9291639 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
1 liter ndash 375 mL = 1000 mL ndash 375 mL = 625 mLThroughout the module a concrete to pictorial to abstract approach is used to convey this simple concept Topic A uses paper strips and number line diagrams to clearly show equivalence After a brief concrete experience with folding paper Topic B primarily uses the rectangular fractional model because it is useful for creating smaller like units by means of partitioning (eg thirds and fourths are changed to twelfths to create equivalent fractions as in the diagram below) In Topic C students move away from the pictorial altogether as they are empowered to write equations clarified by the model
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
14+ 2
3=( 1times3
4times3 )+( 2times43times4 )= 3
12+ 8
12=11
12
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Topic C also uses the number line when adding and subtracting fractions greater than or equal to 1 so that students begin to see and manipulate fractions in relation to larger whole numbers and to each other
The number line allows students to pictorially represent larger whole numbers For example ldquoBetween which two whole numbers does the sum of 1 34 and 5 3
5 lierdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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This leads to an understanding of and skill with solving more complex problems which are often embedded within multi-step word problems
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____ lt 134 + 5
35 lt
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Cristina and Mattrsquos goal is to collect a total of 3 12 gallons of sap from the maple trees Cristina collected 1 3
4 gallons Matt collected 5 35 gallons By how
much did they beat their goal
1 34+5 3
5minus3 1
2=3+( 3times5
4times5 )+( 3times45times4 )minus( 1times10
2times10 )Shelby County Schools 20162017
Revised 9291638 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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iquest3+ 1520
+ 1220
minus1020
=3 1720
Cristina and Matt beat their goal by 3 1720 gallons
Word problems are a part of every lesson Students are encouraged to draw tape diagrams which encourage them to recognize partndashwhole relationships with Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
fractions that they have seen with whole numbers since Grade 1
In Topic D students strategize to solve multi-term problems and more intensely assess the reasonableness of their solutions to equations and word problems with fractional units (5NF2)
ldquoI know my answer makes sense because the total amount of sap they collected is about 7 and a half gallons Then when we subtract 3 gallons that is
about 4 and a half Then 1 half less than that is about 4 3 1720 is just a little less than 4rdquo
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Module 4 is where students learn to multiply fractions and decimal fractions and begin working with fraction division Topic A opens the 38-day module with an
exploration of fractional measurement Students construct line plots by measuring the same objects using three different rulers accurate to 12
14 and
18 of an inch
(5MD2)
Students compare the line plots and explain how changing the accuracy of the unit of measure affects the distribution of points This is foundational to the understanding that measurement is inherently imprecise because it is limited by the accuracy of the tool at hand Students use their knowledge of fraction
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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operations to explore questions that arise from the plotted data The interpretation of a fraction as division is inherent in this exploration For measuring to the quarter inch one inch must be divided into four equal parts or 1 divide 4 This reminder of the meaning of a fraction as a point on a number line coupled with the embedded informal exploration of fractions as division provides a bridge to Topic Brsquos more formal treatment of fractions as division
Topic B focuses on interpreting fractions as division Equal sharing with area models (both concrete and pictorial) provides students with an opportunity to understand division of whole numbers with answers in the form of fractions or mixed numbers (eg seven brownies shared by three girls three pizzas shared by four people) Discussion
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also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
also includes an interpretation of remainders as a fraction (5NF3) Tape diagrams provide a linear model of these problems Moreover students see that by renaming larger units in terms of smaller units division resulting in a fraction is similar to whole number division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Topic B continues as students solve real-world problems (5NF3) and generate story contexts for visual models The topic concludes with students making connections between models and equations while reasoning about their results (eg between what two whole numbers does the answer lie)
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1 divide 7 = 77
divide 7 = 17
5 divide 3 = 53
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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In Topic C students interpret finding a fraction of a set (34 of 24) as multiplication of a whole number by a fraction (
34 times 24) and use tape diagrams to support their
understandings (5NF4a) This in turn leads students to see division by a whole number as being equivalent to multiplication by its reciprocal That is division by
2 for example is the same as multiplication by 12 Students also use the commutative property to relate a fraction of a set to the Grade 4 repeated addition
interpretation of multiplication by a fraction This offers opportunities for students to reason about various strategies for multiplying fractions and whole numbers Students apply their knowledge of a fraction of a set and previous conversion experiences (with scaffolding from a conversion chart if necessary) to find a fraction of
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a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
a measurement thus converting a larger unit to an equivalent smaller unit (eg 13 minutes = 20 seconds and 2
14 feet = 27 inches)
Overview recapFocus Grade Level Standard Type of Rigor Foundational Standards
5OA1 Conceptual Introductory
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5OA2 Application 5OA1
5NBT1 Conceptual 2NBT1 4NF1 4NF2 4NF5 4NF6 4NF7 4NBT1
5NBT2 Conceptual 4NBT1 4NF5 4NF6 5NBT1
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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5NBT5 Procedural Skill and Fluency 3NBT2 4NBT1 3NBT1 3OA5 4NF5 4NF6 4NBT4 4NBT5 5NBT1
5NBT6 Conceptual Application 3NBT2 4NBT1 3OA5 3OA7 4NF5 4NF6 4NBT5 4NBT4 4NBT6 5NBT1 5NBT5 5NBT2
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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5NBT7 Procedural Skill and Fluency 3NBT2 4NBT1 4NF5 4NF6 4NF1 4NF4 3NF1 3OA6 4NBT4 5NBT1 5F1 5NF4 5NF7 5NF
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Fluency NCTM Position
Procedural fluency is a critical component of mathematical proficiency Procedural fluency is the ability to apply procedures accurately efficiently and flexibly to transfer procedures to different problems and contexts to build or modify procedures from other procedures and to recognize when one strategy or procedure is more appropriate to apply than another To develop procedural fluency students need experience in integrating concepts and procedures and building on familiar procedures as they create their own informal strategies and procedures Students need opportunities to justify both informal strategies and commonly used
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procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
procedures mathematically to support and justify their choices of appropriate procedures and to strengthen their understanding and skill through distributed practice
Fluency is designed to promote automaticity by engaging students in daily practice Automaticity is critical so that students avoid using lower-level skills when they are addressing higher-level problems The automaticity prepares students with the computational foundation to enable deep understanding in flexible ways Therefore it is recommended that students participate in fluency practice daily using the resources provided in the curriculum maps Special care should be taken so that it is not seen as punitive for students that might need more time to master fluency
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The fluency standard for 5th grade listed below should be incorporated throughout your instruction over the course of the school year The engage ny lessons include fluency exercises that can be used in conjunction with building conceptual understanding
5NBTB5 Fluently multiply multi-digit whole numbers using the standard algorithm
Note Fluency is only one of the three required aspects of rigor Each of these components have equal importance in a mathematics curriculum
References Shelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
httpswwwengagenyorg httpwwwcorestandardsorg httpwwwnctmorg httpachievethecoreorg
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY Module 2 Multi-Digit Whole Number and Decimal Fraction Operations
(Allow 2 weeks for instruction review and assessment)Domain Operations and Algebraic ThinkingCluster Write and interpret numerical expressions 5OA1 Use parentheses brackets or
Enduring Understandings Multiplication is related to both addition
and division Computational fluency includes
VocabularyConversion factor Decimal fraction Multiplier Parentheses
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYbraces in numerical expressions and evaluate expressions with these symbols
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by2rdquo as 2x(8+7) Recognize that
understanding not only the meaning but also the appropriate use of numerical operations
The magnitude of numbers affects the outcome of operations on them
Context is critical when using estimationEssential Questions
Familiar Terms and SymbolsDecimal digit divisor equation equivalence equivalent estimate exponent multiple pattern product quotient remainder renaming rounding unit form
Fluency PracticeShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY3x(18932+ 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations in Base TenCluster Understand the place value system5NBT1 Recognize that in a multi-digit number a digit in one place represents 10 times as much as it represents in the place to
How does multiplication relate to the other operations
What makes a computational strategy both effective and efficient
How does the size of the number affect the outcome of the operation
How can we decide when to use an exact answer and when to use an estimate
Please see engageNY full module download for suggested fluency pacing and activities
Lesson 19- Estimate and Divide1048707 Group Count by Multiples of 101048707 Group Count by Multi-Digit NumbersLesson 20- Estimate and Divide1048707 Divide by Multiples of 10 with Remainders
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYits right and 110 of what it represents in the place to its left5NBT2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10 Use whole-number exponents to denote
Learning TargetsTopic F
Lesson 19 I can divide two- and three-digit dividends by multiples of 10 with single-digit
Module 2 Multi-Digit Whole Number and Decimal Fraction OperationsTopic F Partial Quotients and Multi-Digit
Whole Number Division
1048707 Group Count by Multi-Digit NumbersLesson 21- Group Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 22- Divide DecimalsGroup Count by Multi-Digit NumbersDivide by Two-digit NumbersLesson 23- Divide Decimals
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYpower of 10Domain Number and Operations in Base TenCluster Perform operations with multi-digit whole numbers and with decimals to hundredths5NBT5 Fluently multiply multi-digit whole numbers using the standard algorithm5NBT6 Find whole-number quotients of
quotients and make connections to a written method
Lessons 20ndash21 I can divide two- and three-digit dividends by two-digit divisors with single-
Lesson 19Lesson 20Lesson 21Lesson 22Lesson 23
Rename Tenths and HundredthsDivide by Two-digit Numbers
OtherUse this guide as you prepare to teach a
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwhole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value the properties of operations andor the relationship between multiplication and division Illustrate and explain the calculation by using equations rectangular arrays andor area models5NBT7 Add subtract multiply and divide
digit quotients and make connections to a written method
Lessons 22ndash23 I can divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients reasoning about the decomposition of successive remainders in
module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdecimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor the relationship between addition and subtraction relate the strategy to a written method and explain the reasoning usedDomain Measurement and DataCluster Convert like measurement units
each place value
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYwithin a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert 5 cm to 005 m) and use these conversions in solving multi-step real world problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYTopic GLesson 24 I can divide decimal dividends by multiples of 10 reasoning about the placement of the decimal point and making connections to a written method (5NBT2 5NBT7)
Lesson 25 I can use basic facts to approximate decimal quotients with two-digit
Topic G Partial Quotients and Multi-Digit Decimal Division
Lesson 24Lesson 25Lesson 26-27
Fluency PracticeLesson 24Rename Tenths and HundredthsDivide DecimalsDivide by Two-Digit NumbersLesson 25Rename Tenths and HundredthsDivide Decimals by Ten
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYdivisors reasoning about the placement of the decimal point (5NBT2 5NBT7)
Lesson 26-27I can solve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2
Divide Decimals by Multiples of 10Lesson 26-27Rename Tenths and HundredthsDivide Decimals by Multiples of 10Estimate the QuotientUnit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5NBT7)
Learning TargetsTopic HLesson 28-29
Topic H Measurement Word Problems with Multi-Digit DivisionLesson 28-29
Fluency PracticeLesson 28-29Multiples of 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYSolve division word problems involving multi-digit division with group size unknown and the number of groups unknown (5NBT2 5NBT7)
End-of-Module Assessment
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
Unit ConversionsDivide Decimals by Two-Digit Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
1-3 Decimal Place Value1-4 Comparing and Ordering Decimals1-5 Problem Solving Look for a Pattern
Number Sense2-1 Mental Math
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY2-2 Rounding Whole Numbers and Decimals2-3 Estimating Sums and Differences2-4 Problem Solving ndash Draw a Picture and
Write an Equation
TasksKiptonrsquos Scale
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Multiplying Decimals by 10The Value of Education
Coordinating I-Ready LessonsRenaming Fractions as DecimalsMultiplication and Division of Decimals by
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Powers of TenDivide Whole NumbersDividing Whole Numbers
Module 3 Addition and Subtraction of Fractions (Allow 4 weeks for instruction review and assessment)
Domain Number and Operations-Fractions Enduring Understandings
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Use equivalent fractions as a strategy to add and subtract fractions
5NFA1 Add and subtract fractions with unlike denominators
5NFA2 Solve word problems involving addition and subtraction of fractions
One representation may sometimes be more helpful than another and used together multiple representations give a fuller understanding of a problem
Essential QuestionsHow do mathematical ideas interconnect and build on one another to produce a coherent
Module 3 Addition and Subtraction of Fractions
Learning Targets
Familiar Terns and SymbolsBetween denominator equivalent fraction fraction fraction greater than or equal to 1 fraction written in the largest possible unit fractional unit hundredth kilometer meter centimeter liter milliliter kilogram gram mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYreferring to the same whole whole
Learning TargetsTopic ALesson 1 I can make equivalent fractions with the number line the area model and numbers (4NF1)
Topic A Equivalent FractionsLesson 1Lesson 2
Videos Finding equivalent fractions using
yard foot inch gallon quart pint cup pound ounce hour minute second more than halfway and less than halfway number sentence numerator one tenth tenth whole unit lt gt =
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 2 I can make equivalent fractions with sums of fractions with like denominators (4NF1)
area model Game ndash Logic Game (Adding like
fractions)
VocabularyBenchmark fraction like denominator unlike denominator
Fluency PracticePlease see engageNY full module download for suggested fluency pacing and activities
Lesson 1Sprint Write the Missing FactorSkip-Counting by frac14 hour
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYLesson 2Equivalent FractionsSprint Find the Missing Numerator or Denominator
Topic B
Lesson 3 Add fractions with unlike units using
Topic B Making Like Units PictoriallyLesson 3Lesson 4
Fluency PracticeLesson 3Sprint Equivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
the strategy of creating equivalent fractions (5NF1 5NF2)Lesson 4 Add fractions with sums between 1 and 2 (5NF1 5NF2)Lesson 5 Subtract fractions with unlike units using the strategy of creating equivalent fractions (5NF1 5NF2)
Lesson 5Lesson 6Lesson 7
Mid-Module Assessment
Adding Like FractionsFractions as DivisionLesson 4Adding Fractions to Make One WholeSkip-Counting by yardLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 6 Subtract fractions from numbers between 1 and 2 (5NF1 5NF2)Lesson 7 Solve two-step word problems (5NF1 5NF2)
Videos Finding a common denominator
using area models Adding fractions with unlike
denominators using area models Subtracting fractions with unlike
denominators using area models
Sprint Subtracting Fractions From a WholeLesson 6Name the Fraction to Complete the WholeTaking from the WholeFraction Units to Ones and FractionsLesson 7
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
82 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Sprint Circle the Equivalent Fraction
Topic CLesson 8 Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies (5NF1 5NF2)
Topic C Making Like Units NumericallyLesson 8Lesson 9Lesson 10
Fluency PracticeLesson 8Adding Whole Numbers and FractionsSubtracting Fractions from Whole Numbers
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 9 Add fractions making like units numerically (5NF1 5NF2)Lesson 10 Add fractions with sums greater than 2 (5NF1 5NF2)Lesson 11 Subtract fractions making like units numerically (5NF1 5NF2)Lesson 12 Subtract fractions greater than or
Lesson 11Lesson 12
Videos Adding mixed numbers using area
models and renaming as improper fractions
Lesson 9Adding and Subtracting Fractions with Like UnitsSprint Adding and Subtracting Fractions with Like UnitsLesson 10
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
equal to 1 (5NF1 5NF2) Subtracting mixed numbers using area models
Sprint Add and Subtract Whole Numbers and Ones with Fraction UnitsLesson 11Subtracting Fractions from Whole NumbersAdding and Subtracting Fractions with Like Units
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
82 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 12Sprint Subtracting Fractions with Like and Unlike Units
Topic DLesson 13 Use fraction benchmark numbers
Topic D Further ApplicationsLesson 13Lesson 14
Fluency PracticeLesson 13
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
to assess reasonableness of addition and subtraction equations (5NF1 5NF2)Lesson 14 Strategize to solve multi-term problems (5NF1 5NF2)Lesson 15 Solve multi-step word problems assess reasonableness of solutions using benchmark numb (5NF1 5NF2)
Lesson 15Lesson 16
End-of-Module Assessment
From Fractions to DecimalsAdding and Subtracting Fractions with Unlike UnitsLesson 14Sprint Make Larger Units (Simplifying Fractions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Lesson 16 Explore part-to-whole relationships (5NF1 5NF2)
Happy Counting with Mixed NumbersLesson 15Sprint Circle the Smallest Fraction SprintLesson 16Break Apart the WholeMake a Like Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
82 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
Shelby County Schools 20162017Revised 92916
87 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
88 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add Fractions with Answers Greater than 1
enVision Resource (enVision may be used to support the needs of your students but should not be used independently of the mathematics curriculum)
OtherUse this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-1 Adding and Subtracting Fractions with
Like Denominators10-1A Estimating Sums and Differences of
Fractions10-2 Common Multiples and Least Common
Multiple10-3 Adding Fractions with Unlike
Denominators
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
Shelby County Schools 20162017Revised 92916
85 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
Shelby County Schools 20162017Revised 92916
87 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY10-4 Subtracting Fractions with Unlike
Denominators10-5 Adding Mixed Numbers10-5A Modeling Addition and Subtraction of Mixed Numbers10-6 Subtracting Mixed Numbers10-7A More Adding and Subtracting of Mixed
NumbersShelby County Schools 20162017
Revised 9291684 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
Shelby County Schools 20162017Revised 92916
85 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
Shelby County Schools 20162017Revised 92916
87 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
88 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
Shelby County Schools 20162017Revised 92916
89 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
TasksCindyrsquos CatsPart and Whole
Coordinating I-Ready LessonsUnderstand Adding and Subtracting Fractions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
Shelby County Schools 20162017Revised 92916
86 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
Shelby County Schools 20162017Revised 92916
87 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
88 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
Shelby County Schools 20162017Revised 92916
89 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Add and Subtract Fractions in Word ProblemsAdding and Subtracting Unlike FractionsAdd and Subtract Fractions
Module 4 Multiplication and Division of Fractions and Decimal Fractions (Allow 3 weeks for instruction review and assessment)
Shelby County Schools 20162017Revised 92916
86 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
Shelby County Schools 20162017Revised 92916
87 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
88 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
Shelby County Schools 20162017Revised 92916
89 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
Shelby County Schools 20162017Revised 92916
90 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
Shelby County Schools 20162017Revised 92916
91 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
Shelby County Schools 20162017Revised 92916
92 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
Shelby County Schools 20162017Revised 92916
93 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYDomain Operations and Algebraic ThinkingCluster Write and Interpret Numerical Expressions
5OA1 Use parentheses brackets or braces in numerical expressions and evaluate expressions with these symbols
Enduring Understandings Fractions can be interpreted as division Equal sharing with area models provides
opportunities to understand division of whole numbers with answers in the form of fractions or mixed numbers
Fractions and decimals allow for
VocabularyDecimal divisor simplify
Familiar Terms and SymbolsCommutative property conversion factor
decimal fraction denominator distribute divide division equation equivalent fraction expression factors foot mile
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
88 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
5OA2 Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them For example express the calculation ldquoadd 8 and 7 then multiply by 2rdquo as 2 times (8 +7) Recognize that 3 times
quantities to be expressed with greater precision than with just whole numbers
Essential Questions How do mathematical ideas interconnect
and build on one another to produce a coherent whole engageny Module 4 Multiplication and
yard inch gallon quart pound pint cup ounce hour minute second fraction greater than or equal to 1
Fluency PracticePlease see engageNY full module download for
Shelby County Schools 20162017Revised 92916
88 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
Shelby County Schools 20162017Revised 92916
89 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
Shelby County Schools 20162017Revised 92916
90 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
Shelby County Schools 20162017Revised 92916
91 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
Shelby County Schools 20162017Revised 92916
92 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
Shelby County Schools 20162017Revised 92916
93 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
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100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
(18932 + 921) is three times as large as 18932 + 921 without having to calculate the indicated sum or product
Domain Number and Operations Base TenCluster Perform operations with multi-digit
Why express quantities measurements and number relationships in different ways
Learning TargetsTopic ALesson 1 I can measure and compare pencil
Division of Fractions and Decimal Fractions
Topic A Line Plots of Fraction Measurements
Lesson 1
suggested fluency pacing and activities
Lesson 1-Compare FractionsDecompose FractionsEquivalent Fractions
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
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103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
whole numbers and with decimals to hundredths
5NBT7 Add subtract multiply and divide decimals to hundredths using concrete models or drawings and strategies based on place value properties of operations andor
lengths to the nearest 12 14 and 18 of an inch and analyze the data through line plots (5 MD2)
Learning Targets
Topic B
Topic B Fractions as Division
Lesson 2
Fluency Practice
Lesson 2- Factors of 100
Shelby County Schools 20162017Revised 92916
90 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
Shelby County Schools 20162017Revised 92916
91 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
Shelby County Schools 20162017Revised 92916
92 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
Shelby County Schools 20162017Revised 92916
93 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYthe relationship between addition and subtraction relate the strategy to a written method and explain the reasoning used
Domain Number and Operations- FractionsCluster Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Lessons 2ndash3 I can Interpret a fraction as division (5NF3)Lesson 4 I can use tape diagrams to model fractions as division (5NF3)Lesson 5 I can solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers (5NF3)
Lesson 3Lesson 4Lesson 5
Compare FractionsDecompose Fractions Divide with RemaindersLesson 3Convert to HundredthsCompare FractionsFractions as Division
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
Shelby County Schools 20162017Revised 92916
92 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
Shelby County Schools 20162017Revised 92916
93 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
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Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF3 Interpret a fraction as division of the numerator by the denominator (ab = a divide b) Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers eg by using visual fraction models or equations to represent the problem For example interpret
Write Fractions as DecimalsLesson 4Write Fractions as DecimalsConvert to HundredthsFractions as DivisionLesson 5
Shelby County Schools 20162017Revised 92916
92 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
Shelby County Schools 20162017Revised 92916
93 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY34 as the result of dividing 3 by 4 noting that 34 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 34 If 9 people want to share a 50‐pound sack of rice equally by weight how many pounds of rice should each person get Between what two whole numbers does your answer lie
Fraction of a SetWrite Division Sentences as FractionsWrite Fractions as Mixed Numbers
Learning TargetsTopic C
Topic C Multiplication of a Whole Number by a Fraction
Fluency Practice
Shelby County Schools 20162017Revised 92916
93 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fractiona Interpret the product of (ab) times q as a parts of a partition of q into b equal parts equivalently as the result of a sequence of operations a times q divide b For example use a visual fraction model to show (23) times 4 = 83
Lesson 6 I can relate fractions as division to fraction of a set (5NF4a)Lesson 7 I can multiply any whole number by a fraction using tape diagrams (5NF4a)Lesson 8 I can relate a fraction of a set to the repeated addition interpretation of fraction multiplication (5NF4a)Lesson 9 I can find a fraction of a
Lesson 6Lesson 7Lesson 8Lesson 9
Lesson 6Sprint Divide Whole NumbersFractions as DivisionLesson 7Read Tape DiagramsHalf of Whole Numbers
Shelby County Schools 20162017Revised 92916
94 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand create a story context for this equation Do the same with (23) times (45) = 815 (In general (ab) times (cd) = acbd) 5NF5 Interpret multiplication as scaling (resizing) bya Comparing the size of a product to the size of one factor on the basis of the size of the
measurement and solve word (5NF4a) Fractions as Whole NumbersLesson 8Convert MeasuresFractions as Whole NumbersMultiply a Fraction Times a Whole NumberLesson 9
Shelby County Schools 20162017Revised 92916
95 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYother factor without performing the indicated multiplicationb Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case) explaining why multiplying a given number by a fraction less than 1
Multiply Whole Numbers by Fractions with Tape DiagramsConvert MeasuresMultiply a Fraction and a Whole Number
Learning TargetsTopic DLesson 10 Compare and evaluate
Topic D Fraction Expressions and Word Problems
Fluency Practice
Shelby County Schools 20162017Revised 92916
96 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYresults in a product smaller than the given number and relating the principle of fraction equivalence ab = (ntimesa)(ntimesb) to the effect of multiplying ab by 1 5NF6 Solve real world problems involving multiplication of fractions and mixed numbers eg by using visual fraction models or equations to represent the problem
expressions with parentheses (5OA1 5OA2 5NF4a 5NF6)Lessons 11ndash12 Solve and create fraction word problems involving addition subtraction and multiplication (5OA1 5OA2 5NF4a 5NF6)
Lesson 10Lesson 11Lesson 12
Lesson 10Convert Measures from Small to Large UnitsMultiply a Fraction and a Whole NumberFind the Unit ConversionLesson 11Convert Measures
Shelby County Schools 20162017Revised 92916
97 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY 5NF7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions (Students capable of multiplying fractions can generally develop strategies to divide fractions by reasoning about the relationship between multiplication
TasksTask Bank (TN 5th Grade Task Arc)
Multiply Whole Numbers by Fractions Using Two MethodsWrite the Expression to Match the DiagramLesson 12Convert MeasuresMultiply a Fraction and a Whole Number
Shelby County Schools 20162017Revised 92916
98 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYand division However division of a fraction by a fraction is not a requirement at this grade level) a Interpret division of a unit fraction by a non-zero whole number and compute such quotients For example create a story context for (13) divide 4 and use a visual fraction model to
httptncoreorgmathinstructional_resourcesgradesgrade5aspx
Gretchenrsquos Garden Multiplication with Fractions Finding
Portions of Numbers
enVision Resource (enVision may be used
Write the Expression to Match the Diagram
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissions
Shelby County Schools 20162017Revised 92916
99 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYshow the quotient Use the relationship between multiplication and division to explain that (13) divide 4 = 112 because (112) times 4 = 13 b Interpret division of a whole number by a unit fraction and compute such quotients For example create a story context for 4 divide (15) and use a visual fraction model to show the
to support the needs of your students but should not be used independently)11-1- Multiplying Fractions and Whole Numbers11-2 Multiplying Two Fractions11-2a Estimating Products
Pacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
100 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYquotient Use the relationship between multiplication and division to explain that 4 divide (15) = 20 because 20 times (15) = 4 C Solve real world problems involving division of unit fractions by non‐zero whole numbers and division of whole numbers by unit fractions eg by using visual fraction
11-3 Multiplying Mixed Numbers11-4 Relating Division to Multiplication of Fractions11-4a Multiplication as Scaling11-5 Draw a Picture and Write an Equation11-5a Dividing Unit Fractions
Shelby County Schools 20162017Revised 92916
101 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYmodels and equations to represent the problem For example how much chocolate will each person get if 3 people share 12 lb of chocolate equally How many 13-cup servings are in 2 cups of raisins
Domain Measurement and Data
Coordinating I-Ready Lessons Multiplying a whole Number and a
Fraction Multiply Fractions to Find Area Understand Multiplication as Scaling Multiplying Fractions Understand Division with Unit
Shelby County Schools 20162017Revised 92916
102 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYCluster Convert like measurement units within a given measurement system 5MD1 Convert among different-sized
standard measurement units within a given measurement system (eg convert
Fractions Divide Unit Fractions in Word
Problems
Shelby County Schools 20162017Revised 92916
103 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY5 cm to 005 m) and use these conversions in solving multi-step real world problems
Domain Measurement and DataCluster Represent and Interpret Data
5MD2 Make a Line plot to display a data
Shelby County Schools 20162017Revised 92916
104 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYset of measurements in fractions of a unit (12 14 18) Use operations on fractions for this grade to solve problems involving information presented in line plots For example given different measurements of liquid in identical beakers find the amount of liquid each beaker would contain if the total amount
Shelby County Schools 20162017Revised 92916
105 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCYin all the beakers were redistributed equally
Shelby County Schools 20162017Revised 92916
106 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
107 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
Shelby County Schools 20162017Revised 92916
108 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
TN STATE STANDARDS CONTENT INSTRUCTIONAL RESOURCES VOCABULARY amp FLUENCY
RESOURCE TOOLBOXThe Resource Toolbox provides additional support for comprehension and mastery of grade-level skills and concepts These resources were chosen as an accompaniment to
modules taught within this quarter Incorporated materials may assist educators with grouping enrichment remediation and differentiation
Shelby County Schools 20162017Revised 92916
109 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
NWEA MAP Resources httpsteachmapnweaorgassisthelp_mapApplicationHelphtmUsingTestResultsMAPReportsFinderhtm - Sign in and Click the Learning Continuum Tab ndash this resources will help as you plan for intervention and differentiating small group instruction on the skill you are currently teaching (Four Ways to Impact Teaching with the Learning Continuum)httpssupportnweaorgkhanrit - These Khan Academy lessons are aligned to RIT scores
Textbook ResourcesengageNY Mathematics Modulesenvision Math
TN CoreCCSSTNReady Math StandardsAchieve the Core
VideosTech C o a ch C o r n e r P o w e r P o int a n d R eso u r ces Te a ching C h a n n el Sch o lastic M a t h St u dy Jams Math TV
Shelby County Schools 20162017Revised 92916
110 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
LearnZillion K h an Aca d e m y
Childrenrsquos LiteratureStuart J MurphyM a t h Wi r e
Ele m e n t a r y M a t h Lit e r a t u re
Interactive ManipulativeshttpwwweduplacecomIlluminations Resources for Teaching Math Interactive Sites for EducatorsMath Playground Common Core StandardsThinking Blocks Computer and iPad based games
Additional Siteshttpwwwk-5mathteachingresourcescom5th-grade-number-activitieshtml
Edutoolbox Resources
Shelby County Schools 20162017Revised 92916
111 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
The Reading Nook PARCC GamesIXL Math Virtual Manipulatives
OtherIllustrated Mathematics Dictionary for Kids
Use this guide as you prepare to teach a module for additional guidance in planning pacing and suggestions for omissionsPacing and Preparation Guide (Omissions)
Shelby County Schools 20162017Revised 92916
112 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113
Major Content Supporting Content Additional Content
Curriculum and Instruction ndash Mathematics Quarter 2 Grade 5
Shelby County Schools 20162017Revised 92916
113 of 113