pvs.k12.nm.uspvs.k12.nm.us/.../3rd-Math-Pacing-Guide-Version-3.docx · Web viewThe Math pacing...

Pojoaque Valley SchoolsMathematics CCSS Pacing Guide

Grade 3 Skills adapted from

Kentucky Department of EducationMath Deconstructed Standards

Evidence of attainmentassessment Vocabulary Knowledge Skills and

Essential Elements adapted from Wisconsin Department of Education and

Standards Insights Computer-Based Program

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Version 3

2015-2016

Pojoaque Valley SchoolsMath Common Core Pacing Guide Introduction

The Pojoaque Valley Schools pacing guide documents are intended to guide teachersrsquo use of Common Core State Standards (CCSS) over the course of an instructional school year The guides identify the focus standards by quarter Teachers should understand that the focus standards emphasize deep instruction for that timeframe However because a certain quarter does not address specific standards it should be understood that previously taught standards should be reinforced while working on the focus standards for any designated quarter Some standards will recur across all quarters due to their importance and need to be addressed on an ongoing basis

The Math pacing guides are grounded in four key components the key fluency expectations for each grade level the critical areas designated in the CCSS Math Standards the Common Core Standards for Mathematics and the integration of the Standards for Mathematical Practice In planning instruction it is important that math teachers incorporate the 8 mathematical practices for mathematics to ensure that the Common Core standards are mastered by all students

The Math CCSS pacing guides contain the following elements Grade Level Identify the grade level of the intended standard Standard with code Defines the knowledge and skills for students The code contains the grade level

domain and standard number Domain Larger groups of related standards Standards from different domains may sometimes be

closely related Cluster Summarize groups of related standards Skills and Knowledge Identified as subsets of the standard and appear in one or more quarters Define

the skills and knowledge embedded in the standard to meet the full intent of the standard itself

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2

Version 2 of the Pojoaque Valley School District Pacing guides for Reading Language Arts and Mathematics are based on the done by staff and teachers of the school district using the Kentucky model and a synthesis of the excellent work done by Wisconsin Cooperative Educational Service Agency 7 (CESA 7) School Improvement Services Green Bay WI (2010) Standards Insight project

Standards Insight was developed to give educators a tool for in depth investigation of the Common Core State Standards (CCSS) The CCSS are ldquounpackedrdquo or dissected identifying specific knowledge skills vocabulary understandings and evidence of student attainment for each standard Standards Insight may be used by educators to gain a thorough grasp of the CCSS or as a powerful collaborative tool supporting educator teams through the essential conversations necessary for developing shared responsibility for student attainment of all CCSS serves as a high-powered vehicle to help educators examine the standards in a variety of ways

The Version 2 Pojoaque Valley School District Pacing guides present the standard with levels of detail and then the necessary skills by quarter based on the Kentucky model On the second page for each standard the synthesis of the Standards Insight project is presented in a way that further defines and refines the standard such that teachers may use the information to refine their teaching practices

Based on this synthesis of work and the purpose for the unpacking the following fields were selected as most helpful to aid in understanding of the Common Core Standards that will lead to shifts in instruction

1 Evidence of Student Attainment ldquoWhat could students do to show attainment of the standardrdquo

2 Vocabulary ldquoWhat are key terms in the standard that are essential for interpretation and understanding in order for students to learn the contentrdquo

3 Knowledge ldquoWhat does the student need to know in order to aid in attainment of this standardrdquo

4 Skills and Understanding ldquoWhat procedural skill(s) does the student need to demonstrate for attainment of this standardrdquo and ldquoWhat will students understand to attain the standardrdquo

The following fields are included in Version 2

Evidence of Student Attainment This field describes what the standard may look like in student work Specific expectations are listed in performance terms showing what students will say or do to demonstrate attainment of the standard

Standards Vocabulary This field lists words and phrases specific to each standard Shared interpretation and in depth understanding of standards vocabulary are essential for consistent instruction across and within grade levels and content areas

Knowledge The knowledge field lists what students will need to know in order to master each standard (facts vocabulary definitions)

Skills and Understanding The skills field identifies the procedural knowledge students apply in order to Version 3 2015-2016

3

master each standard (actions applications strategies) as well as the overarching understanding that connects the standard knowledge and skills Understandings included in Standards Insight synthesize ideas and have lasting value

Instructional Achievement Level Descriptors This field lists by level what a teacher can expect to see in a student who achieves at a particular level Additionally teachers can use this filed to differentiate instruction to provide further growth for studentrsquos in moving from one level to another This field can be used to provide specific teaching approaches to the standard in question

A Note About High School Standards The high school standards are listed in conceptual categories Conceptual categories portray a coherent view of high school instruction that crosses traditional course boundaries We have done everything possible with teacher input to link individual standards to the appropriate pacing guides

References to Tables References to tables within the standards in the Standards Insight tool refer to Tables 1-5 found in the glossary of the Mathematics Common Core State Standards document found at wwwcorestandardsorg

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4

Quarterly View of Standards 3 rd Grade Mathematics Pacing Guide

Quarter 1 2 3 43OA1 Interpret products of whole numbers eg interpret 5 times 7 as the total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

X X

3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8

X X

3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem1

X X

3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations8times = 48 5 = 1048781 divide 3 6 times 6 =

X X

3OA5 Apply properties of operations as strategies to multiply and divide2 Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication)Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)

X

3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8 X X3OA7 Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbers

X X

3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding3

X X X

3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operationsFor example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends

X X X

3NBT1 Use place value understanding to round whole numbers to the nearest 10 or 100 X3NBT2 Fluently add and subtract within 1000 using strategies and algorithms based on place value properties of operations andor the relationship between addition and subtraction

X

3NBT3 Multiply one-digit whole numbers by multiples of 10 in the range 10ndash90 (eg 9 times 80 5 times 60) using strategies based on place value and properties of operations

X

3NF1 Understand a fraction 1b as the quantity formed by 1 part when a whole is partitioned into b equal parts understand a fraction ab as the quantity formed by a parts of size 1b

X

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Quarter 1 2 3 43NF2 Understand a fraction as a number on the number line represent fractions on a number line diagrama Represent a fraction 1b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts Recognize that each part has size 1b and that the endpoint of the part based at 0 locates the number 1b on the number lineb Represent a fraction ab on a number line diagram by marking off a lengths 1b from 0 Recognize that the resulting interval has size ab and that its endpoint locates the number ab on the number line

X

3NF3 Explain equivalence of fractions in special cases and compare fractions by reasoning about their sizea Understand two fractions as equivalent (equal) if they are the same size or the same point on a number lineb Recognize and generate simple equivalent fractions eg 12 = 24 46 = 23) Explain why the fractions are equivalent eg by using a visual fraction modelc Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers Examples Express 3 in the form 3 = 31 recognize that 61 = 6 locate 44 and 1 at the same point of a number line diagramd Compare two fractions with the same numerator or the same denominator by reasoning about their size Recognize that comparisons are valid only when the two fractions refer to the same whole Record the results of comparisons with the symbols gt = or lt and justify the conclusions eg by using a visual fraction model

X

3MD1 Tell and write time to the nearest minute and measure time intervals in minutes Solve word problems involving addition and subtraction of time intervals in minutes eg by representing the problem on a number line diagram

X

3MD2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g) kilograms (kg) and liters (l)6 Add subtract multiply or divide to solve one-step word problems involving masses or volumes that are given in the same units eg by using drawings (such as a beaker with a measurement scale) to represent the problem7

X

3MD3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories Solve one- and two-step ldquohow many morerdquo and ldquohow many lessrdquo problems using information presented in scaled bar graphs For example draw a bar graph in which each square in the bar graph might represent 5 pets

X

3MD4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch Show the data by making a line plot where the horizontal scale is marked off in appropriate unitsmdash whole numbers halves or quarters

X

3MD5 Recognize area as an attribute of plane figures and understand concepts of area measurementa A square with side length 1 unit called ldquoa unit squarerdquo is said to have ldquoone square unitrdquo of area and can be used to measure areab A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units

X

3MD6 Measure areas by counting unit squares (square cm square m square in square ft and improvised units) X3MD7a Relate area to the operations of multiplication and addition a Find the area of a rectangle with whole-number side lengths by tiling it and show that the area is the same as would be found by multiplying the side lengths

X

3MD7b Relate area to the operations of multiplication and additionb Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems and represent whole-number products as rectangular areas in mathematical reasoning

X

3MD7c Relate area to the operations of multiplication and additionc Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a times b and a times c Use area models to represent the distributive property in mathematical reasoning

X

3MD7 Relate area to the operations of multiplication and additiond Recognize area as additive Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts applying this technique to solve real world problems

X

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Quarter 1 2 3 43MD8 Solve real world and mathematical problems involving perimeters of polygons including finding the perimeter given the side lengths finding an unknown side length and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters

X

3G1 Understand that shapes in different categories (eg rhombuses rectangles and others) may share attributes (eg having four sides) and that the shared attributes can define a larger category (eg quadrilaterals) Recognize rhombuses rectangles and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories

X

3G2 Partition shapes into parts with equal areas Express the area of each part as a unit fraction of the whole For example partition a shape into 4 parts with equal area and describe the area of each part as 14 of the area of the shape

X

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CCSS Math Pacing GuideGrade 3

Grade Level 3rdStandard with code 3OA1 Interpret products of whole numbers eg interpret 5 times 7 as the total number of objects in 5 groups of 7 objects each For example describe a context in which a total number of objects can be expressed as 5 times 7

Domain Operations and Algebraic Thinking Cluster Represent and solve problems involving multiplication and division

Quarter 1 Quarter 2

Find the product of multiple groups of objects

Interpret products of whole numbers as a total number of objects in a number of groups

Quarter 3



Quarter 4

Make sense of problems and persevere in solving them

Reason abstractly and quantitatively

Construct viable arguments and critique the reasoning of others

Model with mathematics

Use appropriate tools strategically

Attend to precision

Look for and make use of structure

Look for and express regularity in repeated reasoning

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Evidence of Student Attainment Vocabulary Knowledge Skills Common Core

Essential Elements Instructional Achievement Level Descriptors

StudentsGiven any multiplication problem in the form a x b = c

Represent the problem physically or pictorially and describe the relationship between the factors and the product in the equation and the attributes of the representation (ie given 3 x 5 = 15 students make 3 piles of buttons with 5 buttons in each pile They explain that 15 represents the total number of buttons 3 is the number of piles and 5 is the number of buttons in each pile)

Write a corresponding word problem containing a multiplication context

Students know

Characteristics of multiplication contexts

Students understand thatare able to

Represent quantities and operations (multiplication) physically pictorially or symbolically

Use mathematical language to communicate the connections between multiplication equations and related representations

Write word problems containing multiplication contexts

Putting together equal sized groups may be represented by multiplication equations and totals found through multiplication

EE3OA1-2 Use repeated addition and equal groups to find the total number of objects to find the sum

Level IV Students willEE3OA1-2 Use repeated addition to find the total number of objects arranged in a square or rectangular arrayEx Using tiles in a template identify the total number of tiles by adding the tiles in the templateEx Fill space of squares and rectangles with 1-inch tiles add tiles in rows or columns to determine total number of tiles it takes to fill the shape (squarerectangle)Ex Use an abacus to find the total

Level III Students willEE3OA1-2 Use repeated addition and equal groups to find the total number of objects to find the sumEx Two birds + two Birds + two birds = six birdsEx Given a repeated addition number sentence use a number line to find the sum

Level II Students willEE3OA1-2 Use addition to find the total number of objectsEx Three apples + four apples = six applesEx Add to find the total number of starsEx Skip count by twos to tell how many

Level I Students willEE3OA1-2 Identify which group has more or less when objects are added or taken awayEx When an object is added to a group of three ldquoIs this morerdquo and ldquoIs this lessrdquoEx When an object is taken from a group of three ldquoIs this morerdquo and ldquoIs this lessrdquoRefer to the Common Core Essential Elements document for diagram

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Grade Level 3rdStandard with code 3OA2 Interpret whole-number quotients of whole numbers eg interpret 56 divide 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each For example describe a context in which a number of shares or a number of groups can be expressed as 56 divide 8Domain Operations and Algebraic Thinking Cluster Represent and solve problems involving multiplication and divisionQuarter 1 Quarter 2

Know what the numbers in a division problem represent

Explain what division means and how it relates to equal shares

Interpret quotients as the number of shares or the number of groups when a set of objects is divided equally

Quarter 3




Quarter 4






Attend to precision



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StudentsGiven any division problem in the form a divide b = c

Represent the problem physically or pictorially and describe the relationship between the dividend divisor and quotient in the equation and the attributes of the representation (eg given 15 divide 3 = 5 students make 3 piles of buttons with 5 buttons in each pile and explain that 15 represents the total number of buttons 3 is the number of piles the total was shared among and 5 is the number of buttons in each pile)

Write a corresponding word problem containing a division context

Students know

Characteristics of division contexts


Represent quantities and operations (division) physically pictorially or symbolically

Use mathematical language to communicate the connections between division equations and related representations

Write word problems containing division contexts

Both partitioning into equal-sized shares and partitioning equally among a given number of groups may be modeled by division equations and the desired results found through division






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Grade Level 3rdStandard with code 3OA3 Use multiplication and division within 100 to solve word problems in situations involving equal groups arrays and measurement quantities eg by using drawings and equations with a symbol for the unknown number to represent the problem1


Quarter 1 Quarter 2

Multiply and divide within 100

Solve word problems in situations involving equal groups arrays and measurement quantities

Represent a word problem using a picture an equation with a symbol for the unknown number or in other ways

Quarter 3




Quarter 4






Attend to precision Look for and make use of structure


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StudentsGiven a variety of multiplication and division word problems within 100

Explain and justify solutions and solution paths using connections among a variety of representations (eg place value blocks drawings open arrays and equations with a symbol for the unknown)

See glossary for problem types (Table 2)

Students know

Characteristics of multiplication and division contexts

Multiplication and division strategies


Represent quantities and operations (multiplication and division) physically pictorially or symbolically

Strategically use a variety of representations to solve multiplication and division word problems

Use informal and mathematical language to communicate the connections among multiplication and division contexts and related physical pictorial or symbolic representations

Accurately compute products and quotients

Use symbols to represent unknown quantities in equations

EE3OA3 See EE3OA1 for repeated addition a foundational skill for multiplication and division (Multiplication begins in grade 4 and division begins in grade 5)


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Grade Level 3rdStandard with code 3OA4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers For example determine the unknown number that makes the equation true in each of the equations 8times = 48 5 = 1048781 divide 3 6 times 6 = Domain Operations and Algebraic Thinking Cluster Represent and solve problems involving multiplication and division

Quarter 1 Quarter 2


Determine which operation (multiplication or division) is needed to determine the unknown whole number

Solve to find the unknown whole number in a multiplication or division equation

Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students

Solve single operation multiplicationdivision equations containing a single unknown (eg 8x = 48 5= __ divide3 6x6 = ___)

Students know

Strategies for solving simple equations with one unknown


Efficiently apply strategies for solving simple equations with one unknown

Justify solutions for single unknown equations

Multiplication is putting together equal sized groups and division is sharing into equal-sized shares or is sharing equally among a given number of groups

Mathematical problems can be solved using a variety of strategies models representations

Variables represent unknown quantities when representing mathematical situations algebraically

EE3OA4 Solve addition and subtraction problems when result is unknown with number 0-30

Level IV Students willEE3OA4 Solve addition and subtraction problems when any number in the problem is unknown (result start change difference) with numbers to 50Ex Using base-10 pieces add and subtract two-digit numbers to find the sum and the differenceEx Use pictures of numbers to add and subtract two-digit numbers to find the sum and the difference

Level III Students willEE3OA4 Solve addition and subtraction problems when result is unknown with number 0-30Ex Using base-10 pieces or counters add and subtractEx Use a 100s chart to find the sum or difference of given problemsEx Use count on strategies to add (eg When asked what is 5 + 2 the student says 5 6 7)

Level II Students willEE3OA4 Solve addition and subtraction problems with numbers 0-10Ex Use counters to add and subtractEx Use number lines to add or subtractEx Match the symbol to more or less thanEx Add one to a number by indicating the next number when asked (eg when the teacher says 3 4 5 the student says 6)

Level I Students willEE3OA4 Identify numbers 1 to 9Ex Given a set of five match it to the numberEx Given a set of three identify the number of objects on number linesRefer to the Common Core Essential Elements document for diagram


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Grade Level 3rdStandard with code 3OA5 Apply properties of operations as strategies to multiply and divide2 Examples If 6 times 4 = 24 is known then 4 times 6 = 24 is also known (Commutative property of multiplication) 3 times 5 times 2 can be found by 3 times 5 = 15 then 15 times 2 = 30 or by 5 times 2 = 10 then 3 times 10 = 30 (Associative property of multiplication) Knowing that 8 times 5 = 40 and 8 times 2 = 16 one can find 8 times 7 as 8 times (5 + 2) = (8 times 5) + (8 times 2) = 40 + 16 = 56 (Distributive property)Domain Operations and Algebraic Thinking Cluster Understand properties of multiplication and the relationship between multiplication and division

Quarter 1 Quarter 2Multiply and divide within 100

Explain how the properties of operations work

Apply properties of operations as strategies to multiply and divide

Quarter 3 Quarter 4






Attend to precision





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StudentsGiven multiplication and division problems within 100

Use the properties of operations and descriptive language for the property to justify their products and quotients (eg If I know that 8 x 5 is 40 and two more groups of 8 would be 16 then 8 x 7 must be 40 + 16 or 56)

Commutative Property of Multiplication

Associative Property of Multiplication

Distributive Property

Students know

Commutative Associative Identity and Zero Properties of Multiplication and the Distributive Property

Strategies for finding products and quotients


Strategically and efficiently apply properties of multiplication and division in order to find products and quotients

The order in which factors are multiplied does not change the product

EE3OA5 NA (Multiplication begins at grade 4)



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Grade Level 3rdStandard with code 3OA6 Understand division as an unknown-factor problem For example find 32 divide 8 by finding the number that makes 32 when multiplied by 8Domain Operations and Algebraic Thinking Cluster Understand properties of multiplication and the relationship between multiplication and division

Quarter 1 Quarter 2

Identify the multiplication problemrelated to the division problem

Identify the unknown factor in the related multiplication problem

Use multiplication to solve division problems

Recognize multiplication and division as related operations and explain how they are related

Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19

StudentsGiven a division problem with an unknown quotient

Use a pictorial or physical model to explain the connection between the division problem and the related unknown factor equation

Factor Students know

Strategies for finding quotients and products



Use mathematical language to communicate the connections between an unknown quotient problem and the related unknown factor problem

Use the inverse relationship between multiplication and division to find quotients

The relationship between multiplication and division (that one undoes the other) can be used to solve problems

Efficient application of computation strategies are based on the numbers in the problems

EE3OA6 NA (Division begins at grade 5)



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Grade Level 3rdStandard with code 3OA7 Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division (eg knowing that 8 times 5 = 40 one knows 40 divide 5 = 8) or properties of operations By the end of Grade 3 know from memory all products of two one-digit numbersDomain Operations and Algebraic Thinking Cluster Multiply and divide within 100

Quarter 1 Quarter 2

Know from memory all products of two one-digit numbers

Analyze a multiplication or division problem in order to choose an appropriate strategy to fluently multiply or divide within 100

Quarter 3



Quarter 4








Evidence of Student

Vocabulary Knowledge Skills Common Core Essential Elements

Instructional Achievement Level Descriptors

Version 3 2015-2016 21

AttainmentStudentsGiven any single digit multiplication problem or a division problem with a single digit divisor and an unknown single digit quotient

Use an efficient strategy (eg recall inverse operations arrays derived facts properties of operations etc) to name the product or quotient

Students know



Use multiplication and division strategies efficiently based on the numbers in the problems


EE3OA7 NA (Multiplication begins grade 4 and division begins in grade 5)



Version 3 2015-2016 22

Grade Level 3rdStandard with code 3OA8 Solve two-step word problems using the four operations Represent these problems using equations with a letter standing for the unknown quantity Assess the reasonableness of answers using mental computation and estimation strategies including rounding3

Domain Operations and Algebraic Thinking Cluster Solve problems involving the four operations and identify and explain patterns in arithmetic

Quarter 1

Know the order of operations (without parentheses)

Know strategies for estimating

Construct an equation with a letter standing for the unknown quantity

Solve two-step word problems using the four operations

Justify your answer using various estimation strategies

Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23

StudentsGiven a variety of two-step word problems involving all four operations

Apply their understanding of operations to explain and justify solutions and solution paths using the connections among a variety of representations including equations with symbols for unknown quantities

Apply their understanding of operations and estimation strategies including rounding to evaluate the reasonableness of their solutions (eg The answer had to be around 125 because its a put together problem and 72 is close to 75 and 56 is close to 50 and 75 plus 50 is 125)

Students know

Characteristics of addition subtraction multiplication and division situations

Addition subtraction multiplication and division strategies

Strategies for mentally computing and estimating sums differences products and quotients


Strategically use a variety of representations to solve two-step word problems involving all four operations

Use symbols to represent unknown quantities in equations that relate to word problem contexts

Use mathematical language and contextual situations to communicate the connections among the four operations and related physical pictorial or symbolic representations and justify solutionssolution paths

Accurately compute sums differences products and quotients

Use logical reasoning mental computation strategies and estimation strategies to justify the reasonableness of

EE3OA8 Add to solve real world one-step story problems from 0-30

Level IV Students willEE3OA8 Add to solve real world one-step story problems with sums up to 50 using various problem-solving modelsEx Solve by adding (eg ldquoThere are 25 birds in a tree and 10 more joined them How many birds are in a treerdquo)Ex Solve by adding (eg ldquoI have 15 snacks on the cart and 25 snacks in the cupboard how many snacks do I have all together)Ex Solve by adding (eg ldquoAdd the pencils in two boxes and tell how many pencils we haverdquo)

Level III Students willEE3OA8 Add to solve real world one-step story problems from 0-30 Represent the problem in pictures or with objectsEx Solve by adding (eg ldquoHere are 10 pencils We need 10 more for each person to get a pencil How many will we need in allrdquo)Ex Solve by adding (eg ldquoConnie had five marbles Juan gave her eight more marbles How many marbles does Connie have all togetherrdquo)Ex Solve by adding (eg ldquoAdd the crayons in these two boxes and show me how many we have in allrdquo)

Level II Students willEE3OA8 Add to solve word problems identified through symbol representationEx Complete word problems that have pictures rather than wordsEx Solve by adding (eg ldquoThere are three ducks in the pond two more joined How many ducks are in the pondrdquo [picture representation])

Level I Students willEE3OA8 Identify the object(s) that appear in a real world one-step story problemEx Given a simple word problem and asked ldquoWhat is the problem aboutrdquo point to an object from a choice of two that represents what the problem was about (eg box toy)Ex Indicate which object a word problem is about from an array of two choices

Version 3 2015-2016 24

solutions

Multiplication is putting together equal sized groups

Division is sharing into equal-sized shares or as sharing equally among a given number of groups

Mathematical problems can be solved using a variety of strategies models and representations

Solutions can be evaluated by using reasoning to compare the actual solution with estimated solutions

CCSS Math Pacing Guide

Version 3 2015-2016 25

Grade 3

Grade Level 3rdStandard with code 3OA9 Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations For example observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addendsDomain Operations and Algebraic Thinking Cluster Solve problems involving the four operations and identify and explain patterns in arithmeticQuarter 1

Identify arithmetic patterns (such as even and odd numbers patterns in an addition table patterns in a multiplication table patterns regarding multiples and sums)

Explain rules for a pattern using properties of operations (Properties of operations glossary page 90 Common Core State Standards)

Explain relationships between the numbers in a pattern

Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students

Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations (eg observe that 4 times a number is always even and explain why 4 times a number can be decomposed into two equal addends)

Students know

Characteristics of numbers and properties of operations (eg odd even)

Properties from Table 3 etc


Identify arithmetic patterns in number sequences in the addition table or multiplication table

Use logical reasoning and properties of numbers and operations to explain arithmetic patterns

Characteristics of numbers and properties of operations justify patterns which can be used to reason about mathematical situations form conjectures and solve problems

EE3OA9 Identify arithmetic patterns

Level IV Students willEE3OA9 Complete a complex arithmetic patternEx Complete the pattern using more than two numbers (ie A B C A B C)Ex Using a 100s number chart complete the pattern identified

Level III Students willEE3OA9 Identify arithmetic patternsEx When provided arithmetic patterns on a 100s chart identify the next number in the patternEx When given two number stamps stamp an arithmetic pattern

Level II Students willEE3OA9 Identify a patternEx Make pattern jumps on a number lineEx Sing songs and identify the pattern in the song

Level I Students willEE3OA9 Follow patternsEx Sing ldquoHead Shoulders Knees and Toesrdquo and mimic the patternEx Using tactile objects (fur sand sand fur) in a pattern repeat the patternEx Using manipulatives mimic the teacher to create a pattern


Version 3 2015-2016 27

Grade Level 3rdStandard with code 3NBT1 Use place value understanding to round whole numbers to the nearest 10 or 100Domain Number and Operations in Base Ten

Cluster Use place value understanding and properties of operations to perform multi-digit arithmetic4

Quarter 1

Define ldquoround or roundingrdquo in relation to place value

Round a whole number to the nearest 10


Quarter 2 Quarter 3 Quarter 4






Attend to precision



Evidence of Student Attainment Vocabulary Knowledge Skills Common Core Essential

Elements Instructional Achievement Level Descriptors

Version 3 2015-2016 28

StudentsGiven any number less than 1000

Round it to the nearest 10 or 100 and justify the answer using place value vocabulary (eg Rounding 147 to the nearest 10 is 150 because 147 is between 140 and 150 and is more than half way to 150)

Students know

Place value (ones tens hundreds)

Rounding


Count by 10s and 100s

Determine what is halfway between two multiples of 10 or 100

Round to the nearest 10 or 100

Use place value vocabulary and logical reasoning to justify solutions to rounding problems

Rounding and place value can be used to estimate quantities by changing the original number to the closest multiple of a power of 10

EE3NBT1 Identify the two 10s a number comes in between on a number line (numbers 0-30)

Level IV Students willEE3NBT1 Identify the two 10s a number comes in between and tell which is closest (numbers 0-50)Ex Use a color beaded number line to identify the number and round to the closest 10Ex Given a number line separated into tens (0-10 10-20 etc) stand on a number and identify the 10 that is closer

Level III Students willEE3NBT1 Identify the two 10s a number comes in between on a number line (numbers 0-30)Ex Use a color beaded number line to identify the two 10s a number falls betweenEx Given the number 14 they would identify 10 and 20

Level II Students willEE3NBT1 Identify tens on a number lineEx Given a number line circle the tensEx Stand on a number chart on 10 20 30 etc

Level I Students willEE3NBT1 Identify a numberEx Point to any number from one to three on a number lineEx Participate in a cake walk When the music stops look to see if they are on the number that is called outEx Identify a number when point to or presented on a cardEx Given a number from one to three point to the number symbolRefer to the Common Core Essential Elements document for diagram


Version 3 2015-2016 29

Grade Level 3rdStandard with code 3NBT2 Fluently add and subtract within 1000 using strategies and algorithms based on place value properties of operations andor the relationship between addition and subtractionDomain Number and Operations in Base Ten Cluster Use place value understanding and properties of operations to perform multi-digit arithmetic4

Quarter 1Know strategies and algorithms for adding and subtracting within 1000

Fluently add and subtract within 1000







Attend to precision





Version 3 2015-2016 30

Students

Fluently add and subtract within 1000 using strategies based on place values properties of operations andor the relationship between addition and subtraction

Justify solutions including those which required regrouping by relating the strategy to a written method and explain the reasoning

Students know

Tools for modeling addition and subtraction

Strategies for solving addition and subtraction problems

Methods for symbolically (numerically) recording strategies for solving addition and subtraction problems


Model addition and subtraction problems using appropriate tools

Record strategies for solving addition and subtraction problems

Communicate the relationship between models and symbolic (numeric) representations of solutions to addition and subtraction problems

Relationships between models of addition and subtraction problems and symbolic recordings of those models can be used to justify solutions and solution strategies

EE3NBT2 Identify place value to tens

Level IV Students willEE3NBT2 Identify place value to 50Ex Build numbers with place value piecesEx Identify the number in the ones and tens place value (ie the price of an item)Ex Write the number in expanded form ndash 43 = 40 + 3

Level III Students willEE3NBT2 Identify place value to tensEx When given two-digit number cards identify the number in the tens place valueEx When given a group of 10 frame models arrange and count the value of the numberI saw three groups of 10 and five extras so three groups of 10 = 30 and 5 more makes 35

Level II Students willEE3NBT2 Count to 10 using one-to-one correspondenceEx Given a bag of Skittles pull 10 Skittles out of the bagEx Select a domino and tell what number the dots representEx Shown a set of 10 objects create a duplicate collectionEx Given a container of pennies count out 10 from the container

Level I Students willEE3NBT2 Identify more or lessEx Given two collections of objects (group of 10 group of 20) indicate ldquoWhich has morerdquoEx Given math manipulatives representing a single unit and multiple units point to the multiple unit representation when asked ldquowhich is morerdquoRefer to the Common Core Essential Elements document for diagram


Version 3 2015-2016 31

Grade Level 3rdStandard with code 3NBT3 Multiply one-digit whole numbers by multiples of 10 in the range 10ndash90 (eg 9 times 80 5 times 60) using strategies based on place value and properties of operationsDomain Number and Operations in Base Ten Cluster Use place value understanding and properties of operations to perform multi-digit arithmetic4

Quarter 1

Know strategies to multiply one-digit numbers by multiples of 10 (up to 90)

Apply knowledge of place value to multiply one-digit whole numbers by multiples of 10 in the range 10-90







Attend to precision





Version 3 2015-2016 32

Students

Efficiently use strategies based on place value and properties of operations to multiply one-digit numbers by multiples of 10 (from 10-90) and justify their answers

Students know

Place value models for multiplying numbers (eg open arrays place value blocks)

Strategies for multiplying one-digit numbers

Strategies for mentally multiplying one-digit numbers by multiples of powers of 10


Use mental strategies based on an understanding of place value properties of operations and knowledge of one-digit multiplication to find products

Use a variety of place value models of multiplication problems to justify strategies and solutions

Patterns in the place value system and properties of operations can be used to efficiently compute products

EE3NBT3 Count by tens using money

Level IV Students willEE3NBT3 Compare the value of money based on place valueEx Use money (dimes and pennies) to represent place valueEx Given 15 pennies create a one group of 10 and a group of five ones

Level III Students willEE3NBT3 Count by tens using moneyEx Given three dimes count by 10 to determine totalEx Given five dimes count by 10 to determine total

Level II Students willEE3NBT3 Identify whole numbers to 10Ex Given sets of 10 pennies pair with numbersEx Given sets of 10 pennies pair with dimes

Level I Students willEE3NBT3 Count pennies to 10


Version 3 2015-2016 33

Grade Level 3rdStandard with code 3NF1 Understand a fraction 1b as the quantity formed by 1 part when a whole is partitioned into b equal parts understand a fraction ab as the quantity formed by a parts of size 1bDomain Number and Operations-Fractions5 Cluster Develop understanding of fractions as numbers





Quarter 4










Version 3 2015-2016 34

StudentsGiven any fraction in the form ab

Create a model of the fraction and explain the relationship between the fraction and the model including the corresponding sum of unit fractions (fractions with numerator = 1) (eg 35 = 15 + 15 + 15)

Given a model of a fraction

Write the corresponding fraction and explain the relationship of the numerator and denominator to the model

Students know

Fractions

Strategies for creating models of fractional quantities (eg folding repeatedly dividing the whole in half etc)


Write fractions that correspond to pictorial or physical models

Create models of fractions that correspond to fractions written in the form ab

Communicate the relationship between models of fractions and the corresponding written fraction

Fractional parts are created when a whole is partitioned into equal sized pieces (using up the whole)

The unit fraction (1b) names the size of the unit with respect to the referenced whole

The numerator counts the parts referenced and that the denominator tells the number of parts into which the whole was partitioned

EE3NF1-3 Differentiate a fractional part from a whole

Level IV Students willEE3NF1-3 Identify halves or fourths as related to the wholeEx Identify pictures or objects that are split into fourthsEx Fold a square piece of paper into four equal parts and identify it as four parts of a wholeEx Complete a picture of half an object with the other half to make the wholeEx Given a set of pictures color a half of each wholeEx Shown four halves assemble them into two wholes and state the number of wholes

Level III Students willEE3NF1-3 Differentiate a fractional part from a wholeEx Sort pictures of whole objects and parts into the appropriate categoryEx Use a variety of real-world objects (pizza segmented chocolate bar etc) to demonstrate that each piece represents a part of the wholeEx Shown four halves assemble them into two wholes

Level II Students willEE3NF1-3 Recognize that fractions are part of a wholeEx Using a self-sticking non-adhesive shape take apart and put together fractional parts of a wholeEx Utilize wooden shapes separate into halves and put back together into whole

Level I Students willEE3NF1-3 Identify a wholeEx Given a part of and the whole real-world object (pizza segmented chocolate bar segmented toy pie etc) point to the wholeEx Given a puzzle with missing pieces and a puzzle with complete pieces identify the whole


Version 3 2015-2016 35

Grade Level 3rdStandard with code 3NF2 Understand a fraction as a number on the number line represent fractions on a number line diagrama Represent a fraction 1b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts Recognize that each part has size 1b and that the endpoint of the part based at 0 locates the number 1b on the number lineb Represent a fraction ab on a number line diagram by marking off a lengths 1b from 0 Recognize that the resulting interval has size ab and that its endpoint locates the number ab on the number lineDomain Number and Operations-Fractions5 Cluster Develop understanding of fractions as numbers

Quarter 1 Quarter 2 Quarter 3Know strategies and algorithms for adding and subtracting within 1000


Quarter 4






Attend to precision





Students Students know Students understand EE3NF1-3 Level IV Students will

Version 3 2015-2016 36

Given any common fraction ab between 0 and 1 (denominators of 2 3 4 6 8)

Create a number line diagram and justify the partitioning of the interval from 0 to 1 and the placement of the point that corresponds to the fraction

Fractions

Strategies for creating number line models of fractions less than 1 (eg marking off equal lengths by estimation recursive halving)

thatare able to

Represent fractions in the form ab on a number line including correctly partitioning the interval from 0 to 1 into b equal parts and counting a parts to place the fraction

Explain and justify the creation and placement of a fraction less than 1 on a number line

A fractional quantity can be modeled using a variety of representations (eg part of a whole part of a group a distance on a numberline) each of which may reveal important features of given contexts

Differentiate a fractional part from a whole

EE3NF1-3 Identify halves or fourths as related to the wholeEx Identify pictures or objects that are split into fourthsEx Fold a square piece of paper into four equal parts and identify it as four parts of a wholeEx Complete a picture of half an object with the other half to make the wholeEx Given a set of pictures color a half of each wholeEx Shown four halves assemble them into two wholes and state the number of wholes





Version 3 2015-2016 37

Grade Level 3rdStandard with code 3NF3 Explain equivalence of fractions in special cases and compare fractions by reasoning about their sizea Understand two fractions as equivalent (equal) if they are the same size or the same point on a number lineb Recognize and generate simple equivalent fractions eg 12 = 24 46 = 23) Explain why the fractions are equivalent eg by using a visual fraction modelc Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers Examples Express 3 in the form 3 = 31 recognize that 61 = 6 locate 44 and 1 at the same point of a number line diagramd Compare two fractions with the same numerator or the same denominator by reasoning about their size Recognize that comparisons are valid only when the two fractions refer to the same whole Record the results of comparisons with the symbols gt = or lt and justify the conclusions eg by using a visual fraction modelDomain Number and Operations-Fractions5 Cluster Develop understanding of fractions as numbers




Quarter 4






Attend to precision





Students

Use visual models (eg fraction manipulatives number lines or pictures) to generate simple equivalent fractions including fractions

Students know

Strategies for comparing fractions (eg comparing numerators of like fractions comparing denominators of fractions with like numerators comparing to landmark


Generate simple equivalent fractions using visual models

Express the same whole number in



Version 3 2015-2016 38

equivalent to whole numbers

Given two fractions use logical reasoning and a variety of models to represent and order the fractions (using lt = gt) and justify their answers

Communicate the reason why it is not valid to make a comparison between fractions that refer to different wholes (eg why it may not be valid to say 12 gt14 if the 12 refers to a small pizza and the 14 refers to an extra-large pizza or Susie said her 16 pizza was bigger than my 12 pizza is she correct)

fractions such as 12)

Strategies for generating equivalent fractions using visual models (eg fraction circles fraction bars diagrams pictures etc)

multiple ways as fractions (4 = 41 = 82 = 164) and explain their answers

Strategically choose and apply a variety of representations or use logical reasoning to justify the comparison of two fractions

Represent the comparison of fractions using lt = and gt notation

Two fractions are equivalent if they are the same portion of the same whole or are the same point on the number line

Comparisons of fractions are valid only when the two fractions refer to the same whole

Any fraction can be named in many ways (equivalent fractions) and different names are useful for different problem situations





Version 3 2015-2016 39

Grade Level 3rdStandard with code 3MD1 Tell and write time to the nearest minute and measure time intervals in minutes Solve word problems involving addition and subtraction of time intervals in minutes eg by representing the problem on a number line diagramDomain Measurement and Data Cluster Solve problems involving measurement and estimation of intervals of time liquid volumes and masses of objectsQuarter 1 Quarter 2 Quarter 3

Recognize minute marks on analog clock face and minute position on digital clock face

Know how to write time to the minute

Tell time to the minute

Compare an analog clock face with a number line diagram

Use a number line diagram to add and subtract time intervals in minutes

Solve word problems involving addition and subtraction of time intervals in minutes

Quarter 4






Attend to precision



Evidence of Student Attainment



Students Students know Students understand thatare able to

EE3MD1 Tell time to the hour on a digital

Level IV Students willEE3MD1 Tell time to the half hour using a digital clock

Version 3 2015-2016 40

Tell and write time to the nearest minute using analog and digital clocks

Use strategies (eg watch the movement of a second or minute hand count the changing of digits) to estimate and measure time intervals in minutes

Solve word problems involving addition and subtraction of time intervals using representations of time passage such as arrows on open number lines

Conventions for time notation

Time sequence patterns

Strategies for determining elapsed time (eg using number lines)

Accurately read and write time to the nearest minute from analog and digital clocks

Measure time intervals in minutes

Strategically select and apply methods for showing elapsed time to solve word problems

Analog and digital clocks represent the time at any particular moment

Clocks show the passage of time with the movement of the hands or the changing of digits

Representations for use in solving problems are selected based on the context and numbers in the problem

clock Ex Look at a digital clock and read the timeEx When looking at a schedule identify the hour

Level III Students willEE3MD1 Tell time to the hour on a digital clockEx Given a time written to the hour write the digital timeEx Identify the time of a digital clock that is set to the hourEx Given a time on a digital clock say the time to the hour

Level II Students willEE3MD1 Identify which is the hour on a digital clockEx Relate the hour with the time on their daily scheduleEx Given cards showing digital clocks - with one clock having the hour circled and one clock with the minutes circled indicate the clock with the hour circled

Level I Students willEE3MD1 Differentiate a digital clock from other measurement tools as a tool for telling timeEx Given a digital clock and a measuring cup identify the clock for telling timeEx Asked ldquoHow do we know when it is time to go to lunchrdquo indicate a clock


Version 3 2015-2016 41

Grade Level 3rdStandard with code 3MD2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g) kilograms (kg) and liters (l)6 Add subtract multiply or divide to solve one-step word problems involving masses or volumes that are given in the same units eg by using drawings (such as a beaker with a measurement scale) to represent the problem7Domain Measurement and Data Cluster Solve problems involving measurement and estimation of intervals of time liquid volumes and masses of objects

Quarter 1 Quarter 2 Quarter 3Explain how to measure liquid volume in liters

Explain how to measure mass in grams and kilograms

Add subtract multiply and divide units of liters grams and kilograms

Know various strategies to represent a word problem involving liquid volume or mass

Solve one step word problems involving masses given in the same units

Solve one step word problems involving liquid volume given in the same units

Measure liquid volumes using standard units of liters

Measure mass of objects using standard units of grams (g) and kilograms (kg)

Quarter 4






Attend to precision




Vocabulary Knowledge Skills Common Core Essential Elements Instructional Achievement Level Descriptors

Version 3 2015-2016 42

Students

Accurately measure the liquid volume and mass of objects by selecting and using appropriate tools such as balance and spring scales graduated cylinders beakers and measuring cups to determine measures to the nearest whole unit

Given a variety of one-step word problems involving same unit volume or mass measurements

Explain and justify solutions using a variety of representations

Liquid volume

Mass

Students know

Personal benchmarks for metric standard units of mass (gram amp kilogram) and liquid volume (liter) measure and the use of related tools for measurement to those units

Characteristics of addition subtraction multiplication and division contexts that involve measurements


Measure liquid volume and mass in metric standard units

Choose appropriate measurement tools and units of measure

Represent quantities and operations physically pictorially or symbolically

Strategically use a variety of representations to solve one-step word problems that involve measurement

The liquid volume of the object is expressed as the number of unit volumes needed to fill the same space

The mass of an object is expressed as the number of standard units needed to balance the object


EE3MD2 Identify standard units of measure for mass and liquid

Level IV Students willEE3MD2 Measure liquid volumes and masses of objects using standard units of grams (g) kilograms (kg) and liters (l)Ex Measure out items in a recipeEx Compare the mass of two items using a two-pan balance (balance scale)Ex Given a standard unit scale weigh 10 grams of sand

Level III Students willEE3MD2 Identify standard units of measure for mass and liquidEx Sort the following real-world items as being measured by grams or liters when shown the measurement tools (apple measured in grams and juice in liters)Ex When shown pictures of the tool identify what would be measured grams or liters

Level II Students willEE3MD2 Select the appropriate tool to measure a solid or a liquidEx When provided two pictures one showing a ruler and one showing a scale identify which tool measures massEx When provided two tools a measuring cup and a scale identify which tool measures liquidEx Select from a variety of tools the appropriate tool to measure either mass or volumeEx Given a rock and a glass of water identify which would be measured using a measuring cup

Level I Students willEE3MD2 Determine if an object is a solid and a liquidEx Place objects from the room into the appropriate measurement category (solid or liquid)Ex Given a rock and a glass of water identify which is solid


Version 3 2015-2016 43

Grade Level 3rdStandard with code 3MD3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories Solve one- and two-step ldquohow many morerdquo and ldquohow many lessrdquo problems using information presented in scaled bar graphs For example draw a bar graph in which each square in the bar graph might represent 5 petsDomain Measurement and Data Cluster Represent and interpret data

Quarter 1 Quarter 2 Quarter 3 Quarter 4Explain the scale of a graph with a scale greater than one

Identify the scale of a graph with a scale greater than one

Analyze a graph with a scale greater than one

Choose a proper scale for a bar graph or picture graph

Interpret a barpicture graph to solve one or two step problems asking ldquohow many morerdquo and ldquohow many lessrdquo

Create a scaled picture graph to show data

Create a scaled bar graph to show dataMake sense of problems and persevere in solving them









Version 3 2015-2016 44

Students

Organize and represent data with several categories using picture graphs (pictographs) and bar graphs with scales other than 1

Reason quantitatively to answer one- and two-step how many more and how many less problems using information presented in the scaled pictographs and bar graph

Scaled pictograph

Scaled bar graph

Students know

Strategies for collecting organizing and recording data (including scaled pictographs and scaled bar graphs)

Strategies for counting and comparing quantities

Strategies for solving addition and subtraction one and two-step problems


Choose and apply appropriate strategies for organizing and recording data

Read and interpret graphical representations (pictographs and bar graphs with scales other than 1) of data

Communicate and defend solutions and solutions paths

Questions concerning mathematical contexts can be answered by collecting and organizing data scaled pictographs and bar graphs

Understand that logical reasoning and connections between representations provide justifications for solutions

EE3MD3 Use picture or bar graph data to answer questions about data

Level IV Students willEE3MD3 Interpret data to answer questionsEx Identify how they know there were no rainy days that week based on the chartEx State two facts about the data on a graph

Level III Students willEE3MD3 Use picture or bar graph data to answer questions about dataEx Identify from a picture or bar graph how many students in the class were identified as wearing blue shirtsEx State how many days were sunny as charted on a weather chart

Level II Students willEE3MD3 Organize dataEx Take data collected from the lunch choices and place data into appropriate categoriesEx Place data on a chart to represent the data collected

Level I Students willEE3MD3 Collect dataEx Using two posters one for the students with brown hair and one for the students with ldquoyellowrdquo hair place their picture on the poster board that indicates what color hair they haveEx Use a daily survey to collect data on different interest


Version 3 2015-2016 45

Grade Level 3rdStandard with code 3MD4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch Show the data by making a line plot where the horizontal scale is marked off in appropriate unitsmdash whole numbers halves or quartersDomain Measurement and Data Cluster Represent and interpret data

Quarter 1 Quarter 2 Quarter 3 Quarter 4Define horizontal axis

Identify each plot on the line as data or a number of objects

Analyze data from a line plot

Determine appropriate unit of measurement

Determine appropriate scale for line plot

Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch

Create a line plot where the horizontal scale is marked off in appropriate units- whole numbers halves or quarters






Attend to precision





Students Line plots Students know Students understand thatare EE3MD4 Measure Level IV Students will

Version 3 2015-2016 46

Make and use line plots (scale to match unit of measure) to represent data generated by measuring lengths (to the nearest inch half inch or quarter inch) of several objects (eg measure the length of all class members fingers) or by making repeated measurements (eg measuring how far a marble rolls under certain conditions)

Communicate questions and descriptions related to the data display

Line plots

Standard units

Related tools for measuring length

able to

Use standard units and the related tools to measure length to the nearest quarter inch

Organize and represent length measurement data on a line plot

Form conjectures based on the display of the data

Questions concerning mathematical contexts can be answered by collecting organizing and analyzing data and data displays

length of objects using standard tools such as rulers yardsticks and meter sticks

EE3MD4 Measure length of objects using standard tools such as rulers yardsticks and meter sticks by repeating the use of the measurement toolunitEx Given a row of three tile squares on the floor measure the length of the tiles by repeating a ruler end to endEx Given a hallway from the classroom to the bathroom across the hall measure the distance with a yardstick by repeating the yardstick from end to endEx Give one ruler length of yarn to each classmate for a project

Level III Students willEE3MD4 Measure length of objects using standard tools such as rulers yardsticks and meter sticksEx Given an object and a measuring tool use the tool to mark the length of the objectEx Given a ruler and snowfall mark the depth of the snow with a rulerEx Given a yardstick measure different lengths or widths of the room and record the measurement

Level II Students willEE3MD4 Measure length with non-standard units of measurementEx Identify the length of items in the classroom using a yardstick end-to-end and record as number of yardsticksEx When provided two non-standard measuring units identify which one is most appropriate for what is to be measured (pencil or long stick to measure the length of the classroom)

Level I Students willEE3MD4 Place a standard measuring tool where one would begin to measure the length of an objectEx Given a string place the ruler at the end of the string where one would begin a measureEx Shown a picture of a boy standing against a height measure and asked where you would look to find the boyrsquos height indicate the top of the boyrsquos headEx Given a bookshelf and a ruler place the ruler on the lower left corner of the bookshelf front (Anything with a definite lower left edge that will not allow the student to go beyond it will work)


Version 3 2015-2016 47

Grade Level 3rdStandard with code 3MD5 Recognize area as an attribute of plane figures and understand concepts of area measurementa A square with side length 1 unit called ldquoa unit squarerdquo is said to have ldquoone square unitrdquo of area and can be used to measure areab A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square unitsDomain Measurement and Data Cluster Geometric measurement understand concepts of area and relate area to multiplication and to additionQuarter 1 Quarter 2 Quarter 3 Quarter 4

Define ldquounit squarerdquo

Define area

Relate the number (n) of unit squares to the area of a plane figure

Cover the area of a plane figure with unit squares without gaps or overlaps






Attend to precision





Version 3 2015-2016 48

Students

Explain the result of measuring the area of a plane figure as a number of unit squares needed to cover the object without gaps or overlaps

Area

Plane figure

Unit square

Students know

Measureable attributes of objects specifically area

Units of measure for area (unit squares)


Measure area using manipulative square units to cover a plane figure

Explain and justify procedures for determining the area of a plane figure

The area of a plane figure is measured by the number of same-size squares that exactly cover the interior space of the figure

EE3MD5-7 NA (Area begins at grade 6)



Version 3 2015-2016 49

Grade Level 3rdStandard with code 3MD6 Measure areas by counting unit squares (square cm square m square in square ft and improvised units)Domain Measurement and Data Cluster Geometric measurement understand concepts of area and relate area to multiplication and to addition

Quarter 1 Quarter 2 Quarter 3 Quarter 4

Measure areas by counting unit squares

Use unit squares of cm m in ft and other sizes of unit squares to measure area






Attend to precision





Students Given a variety Students know Students understand EE3MD5-7 NA (Area EE3MD5-7 NA (Area begins at grade 6)

Version 3 2015-2016 50

of plane figures

Accurately measure area by counting standard (square centimeter square meter square inch and square foot) and non-standard unit squares (eg orange pattern blocks floor tiles etc)

Measurable attributes of objects specifically area

Strategies for measuring area

thatare able to

Accurately measure area using standard and non-standard square units (to the nearest whole unit)

The area of a plane figure is measured by counting the number of same-size squares (unit squares) that exactly cover the interior space of the figure

begins at grade 6)


Version 3 2015-2016 51

Grade Level 3rdStandard with code 3MD7a Relate area to the operations of multiplication and additiona Find the area of a rectangle with whole-number side lengths by tiling it and show that the area is the same as would be found by multiplying the side lengthsDomain Measurement and Data Cluster Geometric measurement understand concepts of area and relate area to multiplication and to addition


Find the area of a rectangle by tiling it in unit squares

Find the side lengths of a rectangle in units

Compare the area found by tiling a rectangle to the area found by multiplying the side lengths










StudentsGiven a polygon that may be decomposed into 2 or more rectangles

Find the total area by decomposing the figure into non-overlapping rectangles finding the area of each and find the sum of the areas

Given a rectangle with


Rectilinear figures

Students know

Relationships between rectangular arrays and the corresponding multiplication problems (counting unit squares in rows and columns compared to multiplying length by width)

Strategies for finding sums and products of whole numbers


Communicate the relationships between rectangular array models of areas and multiplication and addition problems including modeling the Distributive Property

Model the area of rectangles using manipulatives or graph



Version 3 2015-2016 52

whole number length sides

Find and justify the area of the rectangle by relating a tile covered model to a corresponding multiplication problem (counting unit squares in rows and columns compared to multiplying length by width)

Using array cards or tiles

Create and explain rectangular models to show that the area of a rectangle with whole-number side lengths a and d (where d=b+c) is the same as the area of two smaller rectangles with area a x b and a x c (the Distributive Property)

paper

Strategically and fluently choose strategies for finding sums and products

Accurately compute sums and products



Rectangular arrays represent groups (rows) of equal size (number of columns)

Multiplication is distributive over the addition of whole numbers

CCSS Math Pacing GuideGrade 3Grade Level 3rd

Version 3 2015-2016 53

Standard with code 3MD7b Relate area to the operations of multiplication and additionb Multiply side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems and represent whole-number products as rectangular areas in mathematical reasoningDomain Measurement and Data Cluster Geometric measurement understand concepts of area and relate area to multiplication and to addition


Multiply side lengths to find areas of rectangles

Solve real world and mathematical area problems by multiplying side lengths of rectangles

Use rectangular arrays to represent whole-number products in multiplication problems





Attend to precision








Rectilinear figures

Students know





Model the area of rectangles using



Version 3 2015-2016 54

Given a rectangle with whole number length sides




manipulatives or graph paper







Version 3 2015-2016 55


Grade Level 3rdStandard with code 3MD7c Relate area to the operations of multiplication and additionc Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a times b and a times c Use area models to represent the distributive property in mathematical reasoningDomain Measurement and Data Cluster Geometric measurement understand concepts of area and relate area to multiplication and to addition


Multiply using an area model (array)

Relate area of a rectangle to multiplication and addition by modeling the distributive property

Version 3 2015-2016 56

Area of a Rectangle 3 x (5+2) = 3x5 + 3x2














Using array cards or


Rectilinear figures

Students know





Model the area of rectangles using manipulatives or graph paper



The area of a plane figure is measured by the number of same-size squares that exactly cover the interior space



Version 3 2015-2016 57

tiles


of the figure





Grade Level 3rdStandard with code 3MD7 Relate area to the operations of multiplication and additiond Recognize area as additive Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts applying this technique to solve real world problemsDomain Measurement and Data Cluster Geometric measurement understand concepts of area and relate area to multiplication and to addition

Quarter 1 Quarter 2 Quarter 3 Quarter 4Find areas of rectangles

Add areas of rectangles

Recognize that areas of each rectangle in a

Version 3 2015-2016 58

rectilinear (straight line) figure can be added together to find the area of the figure

Use the technique of decomposing rectilinear figures to find the area of each rectangle to solve real world problems

Decompose rectilinear figures into non-overlapping rectangles

For example this shape decomposes into

these two rectangles






Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59





rectangles using manipulatives or graph paper







Version 3 2015-2016 60


Grade Level 3rdStandard with code 3MD8 Solve real world and mathematical problems involving perimeters of polygons including finding the perimeter given the side lengths finding an unknown side length and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimetersDomain Measurement and Data Cluster Geometric measurement recognize perimeter as an attribute of plane figures and distinguish between linear and area

measuresQuarter 1 Quarter 2 Quarter 3 Quarter 4

Define a polygon

Define perimeter

Find the perimeter when given the length of sides

Version 3 2015-2016 61

Find the perimeter when there is an unknown side length

Exhibit (design create draw model etc) rectangles with the same perimeter and different areas

Exhibit rectangles with the same area and different perimeters






Attend to precision





Students

Find and justify solutions to real world and mathematical problems involving perimeters of polygons including finding the perimeter given the side lengths finding an unknown side length and exhibiting rectangles with the

Perimeter

Area

Polygons

Students know

Measureable attributes of objects specifically perimeter and area

Strategies for modeling measurement problems involving perimeter and area

Strategies for representing and computing perimeter and area


Strategically use a variety of models and representations to solve measurement problems involving area and perimeter

Accurately compute using whole numbers

Use logical reasoning to justify solutions and

EE3MD8 NA (Perimeter begins at grade 7)


Version 3 2015-2016 62

same perimeter and different areas or with the same area and different perimeters

solution paths by connecting models to equations and computations

Perimeter is measured in length units and is the distance around a 2-D figure



Grade Level 3rdStandard with code 3G1 Understand that shapes in different categories (eg rhombuses rectangles and others) may share attributes (eg having four sides) and that the shared attributes can define a larger category (eg quadrilaterals) Recognize rhombuses rectangles and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategoriesDomain Geometry Cluster Reason with shapes and their attributes

Quarter 1 Quarter 2 Quarter 3 Quarter 4Identify and define rhombuses rectangles and squares as examples of quadrilaterals based on their attributes

Describe analyze and compare

Version 3 2015-2016 63

properties of two-dimensional shapes

Compare and classify shapes by attributes sides and angles

Group shapes with shared attributes to define a larger category (eg quadrilaterals)

Draw examples of quadrilaterals that do and do not belong to any of the subcategories






Attend to precision





Students

Justify their identificationsorting of shapes (triangles quadrilaterals pentagons hexagons squares rectangles rhombuses) by referring to their shared attributes

Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know

Names for 2-D shapes (eg triangle quadrilateral pentagon hexagon square rectangle rhombus)

Defining attributes for 2-D shapes (eg right angles equal length sides parallel sides straight sides closed figure)


Identify attributes of 2-D shapes (eg number of sides equal sides right angles parallel sides)

Classify 2-D shapes based on their attributes

Draw shapes based on

EE3G1 Recognize that shapes in different categories can share attributes

Level IV Students willEE3G1 Identify the shared attributes of shapes in different categoriesEx Given a Venn diagram sort attributes of shapes (ie straight edges curved edges both)Ex Trace the shared attributes of two different shapes

Level III Students willEE3G1 Recognize that shapes in different categories can share attributesEx Shown different shapes answers ldquoWhat is the samerdquoEx Place in the appropriate category shapes with common attributes

Level II Students willEE3G1 Sort shapes by attributesEx Given a sorting map sort shapes by given attributes

Version 3 2015-2016 64

shapes when given a list of attributes

specified attributes

Shapes may be assigned to different categories of shapes based on different selections of shared attributes and that the shared attributes can define a larger category

Ex Given a sorting map sort different size same shapes into the same category (eg large and small triangle would go in the same category)

Level I Students willEE3G1 Match shapes (eg squares rectangles circles triangles)Ex Match shapes to the shape of objects within the classroomEx Match shapes that are the same


Grade Level 3rdStandard with code 3G2 Partition shapes into parts with equal areas Express the area of each part as a unit fraction of the whole For example partition a shape into 4 parts with equal area and describe the area of each part as 14 of the area of the shapeDomain Geometry Cluster Reason with shapes and their attributes


Know that shapes can be partitioned into equal areas

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Describe the area of each part as a fractional part of the whole

Relate fractions to geometry by expressing the area of part of a shape as a unit fraction of the whole (See 3rd grade introduction)






Attend to precision





StudentsGiven squares rectangles or circles

Cut or draw lines to divide the shapes into equal shares and justify their divisions by reasoning about

Area

Partition

Students know

Strategies for decomposing shapes into equal shares

Fraction vocabulary halves thirds fourths quarters fifths eighths and tenths


Decompose circles squares and rectangles into equal shares

Communicate the size of shares using the appropriate

EE3G2 Recognize that shapes can be partitioned into equal areas

Level IV Students willEE3G2 Given shapes with multiple lines of symmetry will be able to identify equal areasEx Complete simple tangram puzzles with tangram piecesEx Identify equal areas on complex shapes (ie stars rectangle cut on the diagonal)

Level III Students willEE3G2 Recognize that shapes can be partitioned into equal areasEx Given a shape cut the shape into equal areasEx Cut a pizza into equal areas to hand out to students in the class

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equal area

Express the area of each part as a unit fraction of the whole (eg partition a shape into 4 parts with equal area and describe the area of each part as 14 of the area of the shape)

fraction terminology

Justify equal area of congruent and non-congruent shares as equal shares of the same size whole

The same fractional parts of same- size 2-D shapes have equal area but do not have to be congruent (eg When two same-size rectangles are cut in half vertically horizontally or diagonally the pieces are all one half of the original rectangle have equal area but are not all congruent)

Level II Students willEE3G2 Create shapesEx Work a pattern block puzzle that results in a shapeEx Given three small rectangles rearrange them into a larger rectangle

Level I Students willEE3G2 Match shapesEx Match a picture of a shape to a shape in the classroomEx Match two shapes from an array of three in which one is differentRefer to the Common Core Essential Elements document for diagram

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Pojoaque Valley SchoolsMath Common Core Pacing Guide Introduction

The Pojoaque Valley Schools pacing guide documents are intended to guide teachersrsquo use of Common Core State Standards (CCSS) over the course of an instructional school year The guides identify the focus standards by quarter Teachers should understand that the focus standards emphasize deep instruction for that timeframe However because a certain quarter does not address specific standards it should be understood that previously taught standards should be reinforced while working on the focus standards for any designated quarter Some standards will recur across all quarters due to their importance and need to be addressed on an ongoing basis

The Math pacing guides are grounded in four key components the key fluency expectations for each grade level the critical areas designated in the CCSS Math Standards the Common Core Standards for Mathematics and the integration of the Standards for Mathematical Practice In planning instruction it is important that math teachers incorporate the 8 mathematical practices for mathematics to ensure that the Common Core standards are mastered by all students

The Math CCSS pacing guides contain the following elements Grade Level Identify the grade level of the intended standard Standard with code Defines the knowledge and skills for students The code contains the grade level

domain and standard number Domain Larger groups of related standards Standards from different domains may sometimes be

closely related Cluster Summarize groups of related standards Skills and Knowledge Identified as subsets of the standard and appear in one or more quarters Define

the skills and knowledge embedded in the standard to meet the full intent of the standard itself

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solutions






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able to











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Area

Plane figure

Unit square

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of plane figures




thatare able to



begins at grade 6)


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Rectilinear figures

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paper








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Rectilinear figures

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tiles


of the figure









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Model the area of



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Define a polygon

Define perimeter


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Students


Perimeter

Area

Polygons

Students know










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Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

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Area

Partition

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3





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solutions






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Students know

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Scaled pictograph

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able to











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Area

Plane figure

Unit square

Students know










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of plane figures




thatare able to



begins at grade 6)


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Rectilinear figures

Students know








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paper








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Attend to precision








Rectilinear figures

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Rectilinear figures

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tiles


of the figure









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Model the area of



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Define a polygon

Define perimeter


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Attend to precision





Students


Perimeter

Area

Polygons

Students know










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Students


Draw corresponding

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Rectangle

Square

Quadrilateral

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Attend to precision







Area

Partition

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equal area







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solutions






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Students know

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thatare able to










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Liquid volume

Mass

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Scaled pictograph

Scaled bar graph

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Line plots

Standard units


able to











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Define area








Attend to precision





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Students


Area

Plane figure

Unit square

Students know










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Attend to precision






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of plane figures




thatare able to



begins at grade 6)


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Rectilinear figures

Students know








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paper








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Attend to precision








Rectilinear figures

Students know








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Rectilinear figures

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tiles


of the figure









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Rectilinear figures

Students know





Model the area of



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Define a polygon

Define perimeter


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Attend to precision





Students


Perimeter

Area

Polygons

Students know










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Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











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Attend to precision







Area

Partition

Students know









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equal area







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X X


X X


X X


X X


X


X X


X X X


X X X


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solutions






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Students know

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thatare able to










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Liquid volume

Mass

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Students



Scaled pictograph

Scaled bar graph

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Line plots

Standard units


able to











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Students


Area

Plane figure

Unit square

Students know










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of plane figures




thatare able to



begins at grade 6)


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Rectilinear figures

Students know








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paper








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Attend to precision








Rectilinear figures

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Rectilinear figures

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tiles


of the figure









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Attend to precision








Rectilinear figures

Students know





Model the area of



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Define a polygon

Define perimeter


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Attend to precision





Students


Perimeter

Area

Polygons

Students know










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Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

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Attend to precision







Area

Partition

Students know









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equal area







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X


X


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solutions






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Students know

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thatare able to










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able to











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Area

Plane figure

Unit square

Students know










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of plane figures




thatare able to



begins at grade 6)


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paper








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Attend to precision








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Rectilinear figures

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tiles


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Attend to precision








Rectilinear figures

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Model the area of



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Define a polygon

Define perimeter


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Attend to precision





Students


Perimeter

Area

Polygons

Students know










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Students


Draw corresponding

Rhombus

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Square

Quadrilateral

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Attend to precision







Area

Partition

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equal area







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X


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solutions






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Students know

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Fractions


thatare able to










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Liquid volume

Mass

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Scaled pictograph

Scaled bar graph

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Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67




Quarter 1 Quarter 2



Quarter 3



Quarter 4






Attend to precision



Version 3 2015-2016 8






Students know












Version 3 2015-2016 9






Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 10






Students know












Version 3 2015-2016 11




Quarter 1 Quarter 2




Quarter 3




Quarter 4








Version 3 2015-2016 12






Students know











Version 3 2015-2016 13



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






Students know












Version 3 2015-2016 9






Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 10






Students know












Version 3 2015-2016 11




Quarter 1 Quarter 2




Quarter 3




Quarter 4








Version 3 2015-2016 12






Students know











Version 3 2015-2016 13



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 10






Students know












Version 3 2015-2016 11




Quarter 1 Quarter 2




Quarter 3




Quarter 4








Version 3 2015-2016 12






Students know











Version 3 2015-2016 13



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






Students know












Version 3 2015-2016 11




Quarter 1 Quarter 2




Quarter 3




Quarter 4








Version 3 2015-2016 12






Students know











Version 3 2015-2016 13



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67




Quarter 1 Quarter 2




Quarter 3




Quarter 4








Version 3 2015-2016 12






Students know











Version 3 2015-2016 13



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






Students know











Version 3 2015-2016 13



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



Quarter 1 Quarter 2




Quarter 3




Quarter 4






Attend to precision



Version 3 2015-2016 14



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



Version 3 2015-2016 15

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

Students


Students know














Version 3 2015-2016 16





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67





Quarter 3 Quarter 4






Attend to precision





Version 3 2015-2016 17






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






Students know









Version 3 2015-2016 18


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67


Quarter 1 Quarter 2





Quarter 3





Quarter 4






Attend to precision





Version 3 2015-2016 19














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67














Version 3 2015-2016 20


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67


Quarter 1 Quarter 2



Quarter 3



Quarter 4








Evidence of Student



Version 3 2015-2016 21



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



Students know








Version 3 2015-2016 22



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



Quarter 1






Quarter 2






Quarter 3






Quarter 4






Attend to precision





Version 3 2015-2016 23




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















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Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


able to











Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

Plane figure

Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67




Students know















Version 3 2015-2016 24

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


thatare able to










Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















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Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

solutions






Version 3 2015-2016 25

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

Grade 3





Quarter 2




Quarter 3




Quarter 4






Attend to precision





Version 3 2015-2016 26

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

Students


Students know













Version 3 2015-2016 27



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



Quarter 1










Attend to precision





Version 3 2015-2016 28



Students know


Rounding













Version 3 2015-2016 29










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Version 3 2015-2016 30

Students



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Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



Students know


Rounding













Version 3 2015-2016 29










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


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Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67










Attend to precision





Version 3 2015-2016 30

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


Students know














Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

Students



Students know















Version 3 2015-2016 31


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


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Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

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Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

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Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67


Quarter 1









Attend to precision





Version 3 2015-2016 32

Students


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Version 3 2015-2016 33






Quarter 4










Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



Fractions


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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



Scaled pictograph

Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

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Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Square

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

Students


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Version 3 2015-2016 33






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Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


Students know







Version 3 2015-2016 38
















Version 3 2015-2016 39








Quarter 4






Attend to precision









Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






Attend to precision





Version 3 2015-2016 42

Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Scaled bar graph

Students know
















Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

Standard units


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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

Students know










Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

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Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

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Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Rectangle

Square

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






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Version 3 2015-2016 34





Students know

Fractions















Version 3 2015-2016 35




Quarter 4






Attend to precision






Version 3 2015-2016 36



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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


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Quarter 4






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Version 3 2015-2016 40


















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Quarter 4






Attend to precision





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Students




Liquid volume

Mass

Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



Line plots

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Version 3 2015-2016 47



Define area








Attend to precision





Version 3 2015-2016 48

Students


Area

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Unit square

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Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











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tiles


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Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

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Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

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Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

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Version 3 2015-2016 67





Students know

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Version 3 2015-2016 35




Quarter 4






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Version 3 2015-2016 36



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Version 3 2015-2016 37





Quarter 4






Attend to precision





Students


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Quarter 4






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Version 3 2015-2016 42

Students




Liquid volume

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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Version 3 2015-2016 45














Attend to precision






Version 3 2015-2016 46



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Version 3 2015-2016 47



Define area








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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

of plane figures




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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

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Version 3 2015-2016 57

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Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


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Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










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Students


Draw corresponding

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Square

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67




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Version 3 2015-2016 36



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Version 3 2015-2016 37





Quarter 4






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Students


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Version 3 2015-2016 38
















Version 3 2015-2016 39








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Version 3 2015-2016 40


















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Quarter 4






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Version 3 2015-2016 42

Students




Liquid volume

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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

of plane figures




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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

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Version 3 2015-2016 58











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Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


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Area

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Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










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Students


Draw corresponding

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Square

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67



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Version 3 2015-2016 37





Quarter 4






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Students


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Version 3 2015-2016 38
















Version 3 2015-2016 39








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Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






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Version 3 2015-2016 42

Students




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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

of plane figures




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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










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Students


Draw corresponding

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

equal area







Version 3 2015-2016 67





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Version 3 2015-2016 38
















Version 3 2015-2016 39








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Version 3 2015-2016 40


















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Quarter 4






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Version 3 2015-2016 42

Students




Liquid volume

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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

of plane figures




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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










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Students


Draw corresponding

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Version 3 2015-2016 66

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Version 3 2015-2016 67
















Version 3 2015-2016 39








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Version 3 2015-2016 40


















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Quarter 4






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Version 3 2015-2016 42

Students




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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

Students



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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67








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Version 3 2015-2016 40


















Version 3 2015-2016 41










Quarter 4






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Version 3 2015-2016 42

Students




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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67


















Version 3 2015-2016 41










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Version 3 2015-2016 42

Students




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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


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Version 3 2015-2016 49










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Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67










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Version 3 2015-2016 42

Students




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Students know

















Version 3 2015-2016 43

















Version 3 2015-2016 44

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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Square

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67

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Version 3 2015-2016 43

















Version 3 2015-2016 44

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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








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Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











Attend to precision








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Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







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Version 3 2015-2016 66

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Version 3 2015-2016 67

















Version 3 2015-2016 44

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Version 3 2015-2016 45














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Version 3 2015-2016 46



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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










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Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Version 3 2015-2016 53










Attend to precision








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Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Version 3 2015-2016 64










Version 3 2015-2016 65








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Area

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Version 3 2015-2016 66

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Version 3 2015-2016 67

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Version 3 2015-2016 45














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Version 3 2015-2016 47



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Version 3 2015-2016 48

Students


Area

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Version 3 2015-2016 49










Attend to precision






Version 3 2015-2016 50

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












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Version 3 2015-2016 57

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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Version 3 2015-2016 64










Version 3 2015-2016 65








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Version 3 2015-2016 66

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Version 3 2015-2016 48

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Version 3 2015-2016 53










Attend to precision








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Version 3 2015-2016 54












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Version 3 2015-2016 58











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Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Version 3 2015-2016 64










Version 3 2015-2016 65








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Version 3 2015-2016 66

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Version 3 2015-2016 48

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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Attend to precision








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Version 3 2015-2016 54












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Version 3 2015-2016 58











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Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




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Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Version 3 2015-2016 64










Version 3 2015-2016 65








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Version 3 2015-2016 66

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Version 3 2015-2016 67



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Version 3 2015-2016 48

Students


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Version 3 2015-2016 49










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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Attend to precision








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Version 3 2015-2016 54












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Version 3 2015-2016 58











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Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


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Area

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Version 3 2015-2016 62









Version 3 2015-2016 63










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Draw corresponding

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Version 3 2015-2016 64










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Version 3 2015-2016 66

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Version 3 2015-2016 49










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Version 3 2015-2016 51



















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Students know








Version 3 2015-2016 52





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Attend to precision








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Version 3 2015-2016 58











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Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










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Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











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Attend to precision







Area

Partition

Students know









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equal area







Version 3 2015-2016 67










Attend to precision






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of plane figures




thatare able to



begins at grade 6)


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Rectilinear figures

Students know








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paper








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Attend to precision








Rectilinear figures

Students know








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Rectilinear figures

Students know











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tiles


of the figure









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Attend to precision








Rectilinear figures

Students know





Model the area of



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Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










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Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











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Attend to precision







Area

Partition

Students know









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equal area







Version 3 2015-2016 67

of plane figures




thatare able to



begins at grade 6)


Version 3 2015-2016 51



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








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Attend to precision








Rectilinear figures

Students know








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Rectilinear figures

Students know











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tiles


of the figure









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Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












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Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










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Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67



















Rectilinear figures

Students know








Version 3 2015-2016 52





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












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Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67





paper








Version 3 2015-2016 53










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67










Attend to precision








Rectilinear figures

Students know








Version 3 2015-2016 54












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67












Version 3 2015-2016 55






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67






Version 3 2015-2016 56

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

















Rectilinear figures

Students know











Version 3 2015-2016 57

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

tiles


of the figure









Version 3 2015-2016 58











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67











Attend to precision








Rectilinear figures

Students know





Model the area of



Version 3 2015-2016 59












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67












Version 3 2015-2016 60




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67




Define a polygon

Define perimeter


Version 3 2015-2016 61









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67









Attend to precision





Students


Perimeter

Area

Polygons

Students know










Version 3 2015-2016 62









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67









Version 3 2015-2016 63










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67










Attend to precision





Students


Draw corresponding

Rhombus

Rectangle

Square

Quadrilateral

Students know











Version 3 2015-2016 64










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67










Version 3 2015-2016 65








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67








Attend to precision







Area

Partition

Students know









Version 3 2015-2016 66

equal area







Version 3 2015-2016 67

equal area







Version 3 2015-2016 67

pvs.k12.nm.uspvs.k12.nm.us/.../3rd-Math-Pacing-Guide-Version-3.docx · Web viewThe Math pacing...

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