docs.d55.k12.id.us Grade/C...  · Web view5.NF.2. Solve word problems involving addition and ......

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Grade 5 Overview Operations and Algebraic Thinking o Write and interpret numerical expressions. o Analyze patterns and relationships. Number and Operations in Base Ten o Understand the place value system. o Perform operations with multi-digit whole numbers and with decimals to hundredths. Number and Operations—Fractions o Use equivalent fractions as a strategy to add and subtract fractions. o Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Measurement and Data o Convert like measurement units within a given measurement system. o Represent and interpret data. o Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. Geometry o Graph points on the coordinate plane to solve real-world and mathematical problems. o Classify two-dimensional figures into categories based on their properties.

Transcript of docs.d55.k12.id.us Grade/C...  · Web view5.NF.2. Solve word problems involving addition and ......

Grade 5 Overview

Operations and Algebraic Thinkingo Write and interpret numerical expressions.

o Analyze patterns and relationships.

Number and Operations in Base Teno Understand the place value system.

o Perform operations with multi-digit whole numbers and with decimals to hundredths.

Number and Operations—Fractionso Use equivalent fractions as a strategy to add and subtract fractions.

o Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Measurement and Datao Convert like measurement units within a given measurement system.

o Represent and interpret data.

o Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometryo Graph points on the coordinate plane to solve real-world and mathematical problems.

o Classify two-dimensional figures into categories based on their properties.

Mathematical Practices1. 1. Make sense of problems and persevere in solving them.

2. 2. Reason abstractly and quantitatively.

3. 3. Construct viable arguments and critique the reasoning of others.

4. 4. Model with mathematics.

5. 5. Use appropriate tools strategically.

6. 6. Attend to precision.

7. 7. Look for and make use of structure.

8. 8. Look for and express regularity in repeated reasoning.

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Analyze patterns and relationships.

5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare decimals to thousandths.

o Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

o Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.NBT.4. Use place value understanding to round decimals to any place.

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.3. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

5.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

o Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

o Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

5.NF.5. Interpret multiplication as scaling (resizing), by:

o Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

o Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

5.NF.7. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1

o Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

o Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

o Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

1 Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

o A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

o A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

o Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

o Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

o Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

5.G.4. Classify two-dimensional figures in a hierarchy based on properties.

Grade 5 Chapter 1:

Use Place Value

Instructional Timeline: 9 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Lining Up

Key Vocabulary: Place Value, standard form, expanded form, is greater than, is

Lesson 1-1

Numbers and Operations in Base-Ten

Lesson 1-1

Read and write whole numbers in standard form expanded form, word form, and short word form

Diagnostic Assessment: Chapter 1 Pretest

Formative Assessment:

Teacher Support:

Volume 1 Teacher’s Edition

less than

Foldable Study Organizer

Chapter 1 Pretest: Are You Ready for Chapter 1? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 1 Project: Map It!

Lesson 1-1

PLACE VALUE THROUGH BILLIONS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: place-value chart, period, place, place value, standard form, expanded form

Introduce, Teach, Practice, and Assess: Place Value Through Billions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 1-2

COMPARE WHOLE NUMBERS

Whole Group Instruction

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit

number, a digit in one place represents 10

times as much as it represents in the

place to its right and 1/10 of what it

represents in the place to its left.

5.NBT.2. Explain patterns in the number

of zeros of the product when multiplying a

number by powers of 10, and explain

patterns in the placement of the decimal

point when a decimal is multiplied or

divided by a power of 10. Use whole-

number exponents to denote powers of

10.

5.NBT.3. Read, write, and compare

decimals to thousandths.

Read and write decimals to thousandths

using base-ten numerals, number names,

and expanded form, e.g., 347.392 = 3 ×

100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 ×

(1/100) + 2 × (1/1000).

Lesson 1-2

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Lesson 1-2

Compare whole numbers

Lesson 1-3

Use the four-step plan to solve a problem

Lesson 1-4

Day 1: Use models to relate decimals to fractions

Day 2: Represent fractions that name tenths, hundredths, and thousandths as decimals

Lesson 1-5

Read and write decimals in standard form, expanded form, word form, and short word form

Lesson 1-6

Compare decimals

Lesson 1-7

Order whole numbers and decimals

Lesson 1-8

Solve problems by using the guess and check strategy

Mid-Chapter Test

Summative Assessment: Chapter 1 Test

Chapter 1 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Workmats: Workmat 2: Place-Value Chart , number lines, tenths grid, hundredths grid, 10 by 10 grid

Leveled Worksheets

Manipulatives: spinner, coins, counter

Internet Resources

Lesson 1-1

www.macmillanmh.com

http://www.math-

Daily Routine

Building Math Vocabulary: equation, inequality

Introduce, Teach, Practice, and Assess: Compare Whole Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Test Practice

Homework Practice

Lesson 1-3

PROBLEM SOLVING STRATEGY: THE FOUR STEP PLAN

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: The Four Step Plan

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 1-4

REPRESENT DECIMALS

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Lesson 1-3

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare

play.com/football-math-place-value-game/football-math-place-value.html

http://www.free-training-tutorial.com/place-value-games.html

http://www.starrmatica.com/standalone/starrMaticaplaveValueMysteryNumbers.swf

http://enlvm.usu.edu/ma/nav/activity.jsp?sid=__shared&cid=emready@place_value&lid=4&aid=332408266

Lesson 1-2

www.macmillanmh.com

http://www.aaastudy.com/g5_41dx1.htm#section2

http://www.free-training-tutorial.com/comparing-numbers-games.html

Lesson 1-3

www.macmillanmh

MATH ACTIVITY FOR LESSON 1-4

Whole Group Instruction

Daily Routine

Building Math Vocabulary: decimal, fraction

Introduce, Teach, Practice, and Assess: Represent Decimals

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Mid-Chapter Check

Foldable

Homework Practice

Lesson 1-5

PLACE VALUE THROUGH THOUSANDTHS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: place value

Introduce, Teach, Practice, and Assess: Place Value through Thousandths

Small Group Differentiated Instruction

Small Group: Above Level Activity,

decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Lesson 1-4

5.NBT.3. Read, write, and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Lesson 1-5

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or

.com

http://www.mrnussbaum.com/bmf/index.html

Lesson 1-4

www.macmillanmh.com

http://www.free-training-tutorial.com/decimal-games.html

Lesson 1-5

www.macmillanmh.com

http://www.free-training-tutorial.com/decimal-games.html

Lesson 1-6

www.macmillanmh.com

http://www.decimalsquares.com/

Lesson 1-7

www.macmillanmh.com

http://www.bbc.co.uk/education/mathsfile/

ELL, Reteach, Skills Practice, Enrich Independent Work: Early Finishers,

Problem-Solving Practice

Homework Practice

Lesson 1-6

COMPARE DECIMALS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: equivalent decimals

Introduce, Teach, Practice, and Assess: Compare Decimals

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Test Practice

Problem-Solving in Science

Homework Practice

Lesson 1-7

ORDER WHOLE NUMBERS AND DECIMALS

Whole Group Instruction

Daily Routine

divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.NBT.4. Use place value understanding to round decimals to any place.

Lesson 1-6

5.NBT.3. Read, write, and compare decimals to thousandths.

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Lesson 1-7

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain

shockwave/games/laddergame.html

Lesson 1-8

www.macmillanmh.com

http://library.thinkquest.org/4471/learn.htm

Math Vocabulary Review: decimal

Introduce, Teach, Practice, and Assess: Order Whole Numbers and Decimals

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Tine

Lesson 1-8

PROBLEM SOLVING STRATEGY: GUESS AND CHECK

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Guess and Check

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 1 Test

patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Lesson 1-8

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 ×

100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Grade 5 Chapter 2

Add and Subtract Whole Numbers and Decimals

Instructional Timeline: 10 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: The Grocery Store

Key Vocabulary: round, estimate, compatible Numbers, compensation

Foldable Study Organizer

Chapter 2 Pretest: Are You Ready for Chapter 2? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Lesson 2-1

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written

Lesson 2-1

Round whole numbers and decimals

Lesson 2-2

Estimate sums and differences by rounding and using compatible numbers

Lesson 2-3

Solve problems by using the work backward strategy

Diagnostic Assessment: Chapter 2 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 2 Test

Teacher Support:

Volume 1 Teacher’s Edition

Chapter 2 Resource Masters

Transparency

Flip Chart

Chapter 2 Project: Collection Connection

Lesson 2-1

ADD AND SUBTRACT WHOLE NUMBERS AND DECIMALS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: round, estimate, compatible numbers, compensation

Introduce, Teach, Practice, and Assess: Add and Subtract Whole Numbers and Decimals

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 2-2

ESTIMATE SUMS AND DIFFERENCES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: estimate

Introduce, Teach, Practice, and Assess: Estimate Sums and Differences

method and explain the reasoning used.

Lesson 2-2

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 2-3

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations,

Lesson 2-4

Add and subtract multi-digit numbers

Lesson 2-5

Determine if a problem needs an estimate or an exact answer

Lesson 2-6

Day 1: Use models to represent addition and subtraction of decimals

Day 2: Add and Subtract decimals through thousandths

Lesson 2-7

Use Associative and Commutative Properties to add whole numbers and decimals mentally

Lesson 2-8

Use the compensation strategy to add and subtract whole numbers and decimals mentally

Student Support

Student Edition

Leveled Worksheets

Manipulatives: base-ten blocks, counters, play money, clocks

Internet Resources

Lesson 2-1

www.macmillanmh.com

http://www.free-training-tutorial.com/decimal-games.html

http://www.mrnussbaum.com/rounding.htm

Lesson 2-2

www.macmillanmh.com

http://www.mathsisfun.com/numbers/estimation-game.php

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Test Practice

Lesson 2-3

PROBLEM-SOLVING STRATEGY: WORK BACKWARD

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Work Backward

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 2-4

ADD AND SUBTRACT WHOLE NUMBERS

Whole Group Instruction

Daily Routine

rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 2-4

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 2-5

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and

www.mrnussbaum.com/golf/index.html

Lesson 2-3

www.macmillanmh.com

http://condor.admin.ccny.cuny.edu/~ha1485/index.htm

http://www.studyzone.org/testprep/math4/d/workbacks4p.cfm

Lesson 2-4

www.macmillanmh.com

http://www.mrnussbaum.com/draggable/

index2.htm l

Lesson 2-5

www.macmillanmh.com

http://www.eduplace.com/kids/mhm/testquest/flash/4_5b_s.swfhttp://www.studyzone.org/testprep/math4/d/estimaterealworldl.cfm

Review Math Vocabulary: expanded form

Introduce, Teach, Practice, and Assess: Add and Subtract Whole Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid-Chapter Check

Lesson 2-5

PROBLEM SOLVING INVESTIGATION: ESTIMATE OR EXACT ANSWER

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Estimate or Exact Answer

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real-World Math

Problem Solving in Social Studies

Homework Practice

Lesson 2-6

ADD AND SUBTRACT DECIMALS

strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 2-6

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 2-7

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the

Lesson 2-6

www.macmillanmh.com

http://www.quia.com/cb/148453.html

Lesson 2-7

www.macmillanmh.com

http://www.321know.com/pro74ax2.htm#section2

Lesson 2-8

www.macmillanmh.com

http://www.sheppardsoftware.com/mathgames/fruitshoot/fruitshoot_addition.htm

http://www.sheppardsoftware.com/mathgames/fruitshoot/fruitshoot_subtraction.htm

Whole Group Instruction

Daily Routine

Review Math Vocabulary: addend, sum, difference

Introduce, Teach, Practice, and Assess: Add and Subtract Decimals

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 2-7

ADDITION PROPERTIES

Whole Group Instruction

Daily Routine

Review Math Vocabulary: Associative Property, Commutative Property, Identity Property

Introduce, Teach, Practice, and Assess: Addition Properties

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 2-8

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written

Homework Practice

Lesson 2-8

ADD AND SUBTRACT MENTALLY

Whole Group Instruction

Daily Routine

Building Math Vocabulary: compensation

Introduce, Teach, Practice, and Assess: Add and Subtract Mentally

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 2 Test

method and explain the reasoning used

Grade 5 Chapter 3:

Multiply Whole Numbers

Instructional Timeline: 11 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: How Tall in All?

Key Vocabulary: Distributive Property, factor, product

Foldable Study Organizer

Chapter 3 Pretest: Are You Ready for Chapter 3? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 3 Project: About How Much?

Lesson 3-1

MULTIPLICATION PATTERNS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: product, factor

Introduce, Teach, Practice, and Assess: Multiplication Patterns

Small Group Differentiated Instruction

Lesson 3-1

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm

Lesson 3-2

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Lesson 3-1

Use basic facts and patterns to multiply multiples of 10, 100, and 1,000 mentally

Lesson 3-2

Day 1: Mentally multiply a one-digit factor by a two-digit factor

Day 2: Use the Distributive Property to multiply mentally

Lesson 3-3

Estimate products by using rounding and compatible numbers

Lesson 3-4

Multiply up to a three-digit number by a one-digit number

Lesson 3-5

Solve problems by

Diagnostic Assessment: Chapter 3 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 3 Test

Teacher Support:

Volume 1 Teacher’s Edition

Chapter 3 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives:Spinner labeled 1-9, base-ten blocks, money, two-

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 3-2

THE DISTUBUTIVE PROPERTY

Whole Group Instruction

Daily Routine

Building Math Vocabulary: Distributive property

Introduce, Teach, Practice, and Assess: The Distributive Property

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Math Activity for 3.2

Homework Practice

Lesson 3-3

ESTIMATE PRODUCTS

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Estimate Products

Lesson 3-3

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 3-4

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm

drawing a picture

Lesson 3-6

Multiply up to a three-digit number by a two-digit number

Lesson 3-7

Use the associative and commutative properties to multiply

Lesson 3-8

Multiply to solve problems involving money and greater numbers

Lesson 3-9

Identify extra information or missing information to solve a problem

colored counters, rulers

Internet Resources

Lesson 3-1

www.macmillanmh.com

http://www.slideshare.net/mralfonso/4-5-5312547

Lesson 3-2

www.macmillanmh.com

http://www.homeschoolmath.net/teaching/md/distributive.php

Lesson 3-3

www.macmillanmh.com

http://www.softschools.com/quizzes/math/estimation_multiplication/quiz691.html

Lesson 3-4

www.macmillanmh.com

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 3-4

MULTIPLY BY ONE-DIGIT NUMBERS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: factor, product

Introduce, Teach, Practice, and Assess: Multiply by One-Digit Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid-Chapter Check

Lesson 3-5

PROBLEM SOLVING STRATEGY: DRAW A PICTURE

Whole Group Instruction

Daily Routine

Lesson 3-5

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 3-6

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm

http://www.funbrain.com/brain/MathBrain/Games/GameOpaque.html?GameName=MathBasketball&Brain=math&Grade=5&Language=en_us&GameNumber=4&Color=FFCC33&HardCoded=false&ReturnTo=kidscenter

Lesson 3-5

www.macmillanmh.com

http://thesingaporemaths.com/stratf.html

Lesson 3-6

www.macmillanmh.com

http://www.prongo.com/math/multiplication.html

http://www.dositey.com/2008/muldiv/mul1ss534.htm

http://www.dositey.com/2008/muldiv/mul1regss34.htm

Introduce, Teach, Practice, and Assess: Draw a Picture

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 3-6

MULTIPLY BY TWO-DIGIT NUMBERS

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Multiply by Two-Digit Numbers

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 3-7

MULTIPLICATION PROPERTIES

Whole Group Instruction

Daily Routine

Lesson 3-7

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 3-8

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

Lesson 3-7

www.macmillanmh.com

http://www.math-play.com/math-basketball-properties-of-multiplication/math-basketball-properties-of-multiplication.html

Lesson 3-8

www.macmillanmh.com

http://cemc2.math.uwaterloo.ca/mathfrog/english/kidz/decMulti6.shtml

Lesson 3-9

www.macmillanmh.com

http://www.internet4classrooms.com/grade_level_help/identify_missing_information_math_fifth_5th_grade.htm

Review Math Vocabulary: Associative Property, Commutative Property, Identity Property

Introduce, Teach, Practice, and Assess: Multiplication Properties

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Health

Lesson 3-8

EXTENDING MULTIPLICATION

Whole Group Instruction

Daily Routine

Review Math Vocabulary: decimal, estimate

Introduce, Teach, Practice, and Assess: Extending Multiplication

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 3-9

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5. Fluently multiply multi-digit whole numbers using the standard algorithm.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using

Lesson 3-9

PROBLEM SOLVING STRATEGY:EXTRA OR MISSING INFORMATION

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Extra or Missing Information

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 3 Test

concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Grade 5 Chapter 4:

Divide Whole Numbers

Instructional Timeline: 11 Days

Target Skills in

Math ConnectsCommon Core

StandardsLearning

Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Art Projects

Key Vocabulary: quotient, dividend, divisor

Foldable Study Organizer

Chapter 4 Pretest: Are You Ready for Chapter 4? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 4 Project: Plan a Field Trip

Lesson 4-1

DIVISION PATTERNS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: quotient, dividend, divisor

Introduce, Teach, Practice, and Assess: Division Patterns

Lesson 4-1

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Lesson 4-2

Numbers and Operations in Base-Ten

Understand the place value system

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Lesson 4-1

Use basic facts and patterns to divide multiples of 10, 100, and 1,000 mentally

Lesson 4-2

Estimate quotients using rounding and compatible numbers

Lesson 4-3

Day 1: Divide using models

Day 2: Divide up to a three-digit number by a one-digit number

Lesson 4-4

Divide up to a three-digit number by a two-digit number

Lesson 4-5

Solve problems using the act it out strategy

Lesson 4-6

Day 1: Interpret the

Diagnostic Assessment: Chapter 4 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 4 Test

Teacher Support:

Volume 1 Teacher’s Edition

Chapter 4 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: Red counters, base-ten blocks, Work Mat 2: place value chart,

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 4-2

ESTIMATE QUOTIENTS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: compatible numbers

Introduce, Teach, Practice, and Assess: Estimate Quotients

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 4-3

DIVIDE BY ONE-DIGIT NUMBERS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: remainder

5.NBT.3. Read, write, and compare decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.NBT.4. Use place value understanding to round decimals to any place.

Lesson 4-3

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 4-4

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

remainder in a division problem

Day 2: Interpret the remainder in a division problem

Lesson 4-7

Choose the best strategy to solve a problem

Lesson 4-8

Estimate quotients of decimals and greater numbers

Lesson 4-8

Choose the best strategy to solve a problem

two color counters, ruler, play money, centimeter cubes

Internet Resources

Lesson 4-1

www.macmillanmh.com

http://interactive.onlinemathlearning.com/dec_divbyexp.php?action=generate&numProblems=10

Lesson 4-2

www.macmillanmh.com

http://www.studyzone.org/mtestprep/math8/e/estimatingquotient5p.cfm

Lesson 4-3

www.macmillanmh.com

Day 1: Divide using models http://

Introduce, Teach, Practice, and Assess: Divide by One-Digit Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 4-4

DIVIDE BY TWO-DIGIT NUMBERS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: dividend, divisor, quotient

Introduce, Teach, Practice, and Assess: Divide by Two-Digit Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 4-5

PROBLEM SOLVING STRATEGY: ACT IT OUT

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 4-5

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 4-6

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and

www.learner.org/courses/learningmath/number/session4/part_b/division_manip.htmlhttp://www.learner.org/courses/learningmath/number/session4/part_b/division_model.html

Day 2: Divide up to a three-digit number by a one-digit number http://www.kidsnumbers.com/long-division.php

http://www.mrnussbaum.com/mathdrills/divisiondrills/div3d1dr10.htm

http://www.kidsnumbers.com/long-division.php

Lesson 4-4

www.macmillanmh.com

http://www.mrnussbaum.com/draggable/index2.html

http://www.mathisfun.com/

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Act It Out

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 4-6

INTERPRET THE REMAINDER

Whole Group Instruction

Daily Routine

Review Math Vocabulary: remainder

Introduce, Teach, Practice, and Assess: Interpret the Remainder

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 4-7

subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 4-7

Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used

Lesson 4-8

Numbers and Operations in Base-Ten

Understand the place value system.

5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.2. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.NBT.3. Read, write, and compare

long_division2.html

http://www.mathopolis.com/questions/q.php?id=1651&site=1&ref=/long_division2.html&qs=1651_1652_1653_1654_1655_1656_3437_3438_3439_3440

Lesson 4-5

www.macmillanmh.com

Lesson 4-6

www.macmillanmh.com

http://www.mathplayground.com/TB_MD/tb_md5_iFrame.html

Lesson 4-7

www.macmillanmh.com

Lesson 4-8

www.macmillanmh.com

http://www.studyzone.org/mtestprep/math8/e/estimatingquotient5p.cf

EXTENDING DIVISION

Whole Group Instruction

Daily Routine

Review Math Vocabulary: decimal,, decimal point

Introduce, Teach, Practice, and Assess: Extending Division

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Problem solving in Social Studies

Lesson 4-8

PROBLEM SOLVING INVESTIGATION: CHOOSE THE BEST STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose the Best Strategy

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

decimals to thousandths.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.NBT.4. Use place value understanding to round decimals to any place.

m

Homework Practice

Study Guide and Review

Foldable

Chapter 4 Project

Chapter 4 Test

Grade 5 Chapter 5:

Use Algebraic Expressions

Instructional Timeline: 9 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Playing Games

Key Vocabulary: variable, expression, evaluate function, order of operations

Foldable Study Organizer

Chapter 5 Pretest: Are You Ready for Chapter 5? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Lesson 5-1

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without

Lesson 5-1

Write and evaluate addition expressions

Lesson 5-2

Solve problems by solving a simpler problem

Lesson 5-3

Write and evaluate multiplication

Diagnostic Assessment: Chapter 5 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 5 Test

Teacher Support:

Volume 1 Teacher’s Edition

Chapter 5 Resource Masters

Transparency

Flip Chart

Chapter 5 Project: Make a Game

Lesson 5-1

ADDITION EXPRESSIONS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: variable, expression, evaluate

Introduce, Teach, Practice, and Assess: Addition Expressions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 5-2

PROBLEM SOLVING STRATEGY: SOLVE A SIMPLER PROBLEM

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Solve a Simpler Problem

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Analyze patterns and relationships.

5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Lesson 5-2

Cumulative Review

Lesson 5-3

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express

expressions

Lesson 5-4

Evaluate algebraic expressions

Lesson 5-5

Choose the best strategy to solve a problem

Lesson 5-6

Day 1: Illustrate functions using function machines

Day 2: Complete function tables

Day 3: Use technology to create function tables to solve problems

Lesson 5-7

Use order of operations to evaluate expressions

Student Support

Student Edition

Leveled Worksheets

Manipulatives: counters , cups

Internet Resources

Lesson 5-1

www.macmillanmh.com

http://math123xyz.com/Nav/Algebra/Variable_Machine.php

Lesson 5-2

www.macmillanmh.com

Lesson 5-3

www.macmillanmh.com

http://math123xyz.com/Nav/Algebra/Variable_Machine.php

http://

Lesson 5-3

MULTIPLICATION EXPRESSIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: product

Introduce, Teach, Practice, and Assess: Multiplication Expressions

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 5-4

MORE ALGEBRAIC EXPRESSIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: sum, difference, product, quotient

Introduce, Teach, Practice, and Assess: More Algebraic Expressions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Foldable

the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Lesson 5-4

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Analyze patterns and relationships.

5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

www.321know.com/equ723x2.htm

Lesson 5-4

www.macmillanmh.com

http://www.mathgoodies.com/lessons/vol7/expressions.html

Lesson 5-5

www.macmillanmh.com

Lesson 5-6

www.macmillanmh.com

http://www.mathplayground.com/functionmachine.html

http://teams.lacoe.edu/documentation/classrooms/amy/algebra/5-6/activities/functionmachine/functionmachine5_6.html

Challenge:http://math123xyz.com/Nav/Algebra/Functions.php

Lesson 5-7

Mid Chapter Check

Homework Practice

Lesson 5-5

PROBLEM SOLVING INVESTIGATION: CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson5-6

FUNCTION TABLES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: function, function table, input, output

Introduce, Teach, Practice, and Assess: Function Tables

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Lesson 5-5

Cumulative Review

Lesson 5-6

Operations and Algebraic Thinking

Analyze patterns and relationships.

5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Lesson 5-7

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 ×

www.macmillanmh.com

http://www.funbrain.com/algebra/index.html

http://www.basic-mathematics.com/order-of-operations-game.html

Fraction to decimal

http://www.mrnussbaum.com/death_decimals/index.html

Coordinate Grid

www.oswego.org/ocsd-web/games/BillyBug2/bug2.html

http://www.oswego.org/ocsd-web/games/BillyBug/bugcoord.html

Fun website to review functions, linear equations, transformations

http://www.mathplayground.com/XDetectives/XDetectives.html

Fraction, Decimal,

Homework Practice

Problem Solving in Science

Lesson 5-7

ORDER OF OPERATIONS

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Order of Operations

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Foldable

Chapter 5 Project

Study Guide and Review

Chapter 5 Test

(18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Percent

http://www.mathplayground.com/Decention/Decention.html

Compare Fractions

http://www.mathplayground.com/HauntedFractions/HFGameLoader.html

Prime factorization

http://math123xyz.com/Nav/Pre-Algebra/Prime_Factorization.php

http://www.softschools.com/math/factors/factor_tree/

GCF

http://math123xyz.com/Nav/Pre-Algebra/Greatest_Common_Factor_Practice.php

Grade 5 Chapter 6:

Use Equations and Function Tables

Instructional Timeline: 11 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: How Old Will You Be?

Key Vocabulary: equation, solve, coordinate grid, ordered pair, graph

Foldable Study Organizer

Chapter 6 Pretest: Are You Ready for Chapter 6? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 6 Project: Recycling Rules

Lesson 6-1

ADDITION AND SUBTRACTION EQUATIONS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: defining the variable

Introduce, Teach, Practice, and Assess: Addition and Subtraction Equations

Lesson 6-1

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Analyze patterns and relationships.

5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two

Lesson 6-1

Day 1: Write and solve addition equations using models

Day 2: Write and solve addition and subtractions equations

Day 3: Use models to represent and solve simple addition and subtraction inequalities

Lesson 6-2

Day 1: Write and solve multiplication equations

Day 2: Write and solve multiplication equations

Lesson 6-3

Solve problems by making a table

Lesson 6-4

Diagnostic Assessment: Chapter 6 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 6 Test

Teacher Support:

Volume 1 Teacher’s Edition

Chapter 6 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives:cups, counters, play coins,

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 6-2

MULTIPLICATION EQUATIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: equation, solve

Introduce, Teach, Practice, and Assess: Multiplication Equations

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 6-3

PROBLEM SOLVING STRATEGY: MAKE A TABLE

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Use Make a Table

patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Lesson 6-2

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.OA.2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Analyze patterns and relationships.

5.OA.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting

Name points on a coordinate grid

Lesson 6-5

Graph points n a coordinate grid

Lesson 6-6

Day 1: Find a function rule

Day 2: Use technology to create function tables and graph ordered pairs

Lesson 6-7

Choose the best strategy to solve a problem

play money

Internet Resources

Lesson 6-1

www.macmillanmh.com

http://www.bbc.co.uk/education/mathsfile/shockwave/games/postie.html

http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/subtraction.shtml

http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/addition.shtml

Lesson 6-2

www.macmillanmh.com

http://www.bbc.co.uk/education/mathsfile/shockwave/games/postie.html

Lesson 6-3

www.macmillanmh

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice,

Homework Practice

Lesson 6-4

GEOMETRY; ORDERED PAIRS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: coordinate grid, origin, ordered pair, x-coordinate, y-coordinate

Introduce, Teach, Practice, and Assess: Geometry: Ordered Pairs

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 6-5

ALGEBRA AND GEOMETRY; GRAPH FUNCTIONS

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Algebra and Geometry: Graph Functions

number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Lesson 6-3

Cumulative Review

Lesson 6-4

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Lesson 6-5

Geometry

.com

Lesson 6-4

www.macmillanmh.com

http://www.oswego.org/ocsd-web/games/BillyBug/bugcoord.html

http://nces.ed.gov/nceskids/createagraph/default.aspx

http://www.bbc.co.uk/schools/teachers/ks2_activities/maths/grids.shtml

Lesson 6-5

www.macmillanmh.com

http://nces.ed.gov/nceskids/createagraph/default.aspx

Lesson 6-6

www.macmillanmh.com

http://www.bbc.co.uk/education/mathsfile/shockwave/games/

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Geography

Lesson 6-6

FUNCTIONS AND EQUATIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: function

Introduce, Teach, Practice, and Assess: Functions and Equations

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 6-7

PROBLEM SOLVING INVESTIGATION: CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation

Lesson 6-6

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates

postie.html

Introduce, Teach, Practice, and Assess: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Foldable

Chapter Project

Study Guide and Review

Chapter 6 Test

how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation

Lesson 6-7

Cumulative Review

Grade 5 Chapter 7:

Display and Interpret Data

Instructional Timeline: 10 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: what s Your Favorite Subject?

Key Vocabulary: line graph, mean, median, mode, range

Lesson 7-1

Measurement and Data

Convert like measurement units within a given measurement system.

Lesson 7-1

Find the median and mode of a set of data

Lesson 7-2

Diagnostic Assessment: Chapter 7 Pretest

Formative

Teacher Support:

Volume 1 Teacher’s Edition

Foldable Study Organizer

Chapter 7 Pretest: Are You Ready for Chapter 7? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 7 Project: What “Do We” Have in the Library?

Lesson 7-1

MEAN, MEDIAN AND MODE

Whole Group Instruction

Daily Routine

Building Math Vocabulary: data, mean, median, mode

Introduce, Teach, Practice, and Assess: Mean, Median, and Mode

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 7-2

PROBLEM SOLVING INVESTIGATION; CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose a Strategy

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of

Choose the best strategy to solve a problem

Lesson 7-3

Make and interpret line plots

Lesson 7-4

Make and interpret frequency tables

Lesson 7-5

Choose appropriate scales and intervals for frequency tables

Lesson 7-6

Make and interpret bar graphs and double bar graphs

Lesson 7-7

Make and interpret line graphs and double line graphs

Lesson 7-8

Day 1: Select and make an appropriate graph for presenting data

Day 2: Use technology to select and create graphs

Lesson 7-9

Solve problems by making a graph

Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 7 Test

Chapter 7 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: counters, rulers, thermometer

Internet Resources

Lesson 7-1

www.macmillanmh.com

http://www.bbc.co.uk/schools/ks2bitesize/maths/data/mode_median_mean_range/play.shtml

Lesson 7-2

www.macmillanmh.com

Lesson 7-3

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 7-3

LINE PLOTS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: line plot, range, outlier

Introduce, Teach, Practice, and Assess: Line Plots

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 7-4

FREQUENCY TABLES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: frequency table

Introduce, Teach, Practice, and Assess: Frequency Tables

multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 7-2

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

www.macmillanmh.com

http://www.glencoe.com/sites/common_assets/mathematics/mc2/cim/interactive_labs/M2_02/M2_02_dev_100.html

http://www.eduplace.com/kids/mw/practice/templates/rules.jsp?ID=hmm05_ep/gr5/0802&GRADE=5&UNIT=3&CHAPTER=8&LESSON=2&UNIT_TITLE=Measurement/Data%20and%20Graphing&CHAPTER_TITLE=Data%20and%20Statistics

Lesson 7-4

www.macmillanmh.com

http://www.learner.org/courses/learningmath/data/session2/part_c/index.html

http://www.eduplace.com/kids/mw/practice/templates/rules.jsp?

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 7-5

SCALES AND INTERVALS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: scale, interval

Introduce, Teach, Practice, and Assess: Scales and Intervals

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 7-6

BAR GRAPHS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: bar graph, double bar graph

Lesson 7-3

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 7-4

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 7-5

Measurement and Data

Represent and interpret data.

ID=hmm05_ep/gr5/0804&GRADE=5&UNIT=3&CHAPTER=8&LESSON=4&UNIT_TITLE=Measurement/Data%20and%20Graphing&CHAPTER_TITLE=Data%20and%20Statistics

Lesson 7-5

www.macmillanmh.com

Lesson 7-6

www.macmillanmh.com

http://www.mrnussbaum.com/icgraphing.htm

Lesson 7-7

www.macmillanmh.com

http://www.eduplace.com/kids/mw/practice/templates/rules.jsp?ID=hmm05_ep/gr5/0703&GRADE=5&UNIT=3&CHAPTER=7&LESSON=3&UNIT_TITLE=Measurement/Data%20and%20Graphing&CHAPTE

Introduce, Teach, Practice, and Assess: Bar Graphs

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Art

Lesson 7-7

LINE GRAPHS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: line graph, double line graph

Introduce, Teach, Practice, and Assess: Line Graphs

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 7-8

USE AN APPROPRIATE GRAPH

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 7-6

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 7-7

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of

R_TITLE=Graph%20Data

Lesson 7-8

www.macmillanmh.com

http://www.eduplace.com/math/mw/models/tm_5.html

Whole Group Instruction

Daily Routine

Building Math Vocabulary: pictograph

Introduce, Teach, Practice, and Assess: Use an Appropriate Graph

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Art

Lesson 7-9

PROBLEM SOLVING STRATEGY; MAKE A GRAPH

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Make a Graph

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 7-8

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 7-9

Measurement and Data

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Chapter 7 Test

Grade 5 Chapter 8:

Develop Fraction Concepts

Instructional Timeline: 9 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Parts of Pies

Key Vocabulary: fraction, mixed number, improper fraction

Foldable Study Organizer

Chapter 8 Pretest: Are You Ready for Chapter 8? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Lesson 8-1

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 =

Lesson 8-1

Represent division situations using fractions

Lesson 8-2

Day 1: Use models to represent mixed numbers and improper fractions

Day 2: Write improper fractions as mixed

Diagnostic Assessment: Chapter 8 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment:

Teacher Support:

Volume 1 Teacher’s Edition

Chapter 8 Resource Masters

Transparency

Chapter 8 Project: Fraction Party

Foldable

Lesson 8-1

FRACTIONS AND DIVISION

Whole Group Instruction

Daily Routine

Building Math Vocabulary: fraction, numerator, denominator

Introduce, Teach, Practice, and Assess: Fractions and Division

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 8-2

IMPROPER FRACTIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: improper fraction, mixed number

Introduce, Teach, Practice, and Assess: Improper Fractions

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.3. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

Lesson 8-2

Numbers and Operations - Fractions

numbers

Lesson 8-3

Solve problems by using logical reasoning

Lesson 8-4

Write mixed numbers as improper fractions

Lesson 8-5

Compare fractions and mixed numbers using a number line

Lesson 8-6

Round fractions to 0, ½, and 1 using a number line

Lesson 8-7

Choose the best strategy to solve a problem

Chapter 8 Test Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: fraction circles, counters, rulers, fraction tiles

Internet Resources

Lesson 8-1

www.macmillanmh.com

http://www.swiss-algebra-help.com/fractions-as-division.html

Lesson 8-2

www.macmillanmh.com

http://www.quia.com/cb/186132.html

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 8-3

PROBLEM SOLVING STRATEGY: USE LOGICAL REASONING

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Use Logical Reasoning

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 8-4

MIXED NUMBERS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: numerator, denominator

Introduce, Teach, Practice, and Assess: Mixed Numbers

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 8-3

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

Lesson 8-3

www.macmillanmh.com

Lesson 8-4

www.macmillanmh.com

http://www.adaptedmind.com/p.php?tagId=642

http://www.mathplayground.com/fractions_mixed.html

http://www.sheppardsoftware.com/mathgames/fractions/memory_fractions1.htm

Lesson 8.5

www.macmillanmh.com

http://www.bgfl.org/custom/resources_ftp/client_ftp/ks2/maths/fractions/level4.htm

Lesson 8.6

www.macmillanmh.com

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 8-5

FRACTIONS ON A NUMBER LINE

Whole Group Instruction

Daily Routine

Review Math Vocabulary: number line, fraction, mixed number

Introduce, Teach, Practice, and Assess: Fractions on a Number Line

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Geography

Lesson 8-6

ROUND FRACTIONS

Whole Group Instruction

Daily Routine

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 8-3

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.7. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1

Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

1 Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division

http://www.quia.com/cm/62065.html

Review Math Vocabulary: round, estimate

Introduce, Teach, Practice, and Assess: Round Fractions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 8-7

PROBLEM SOLVING INVESTIGATION: CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Foldable

Chapter 8 Project

Study Guide and Review

Chapter 8 Test

Lesson 8-4

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction

Lesson 8-5

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2

Lesson 8-6

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.2. Solve word problems involving

addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2

Lesson 8-7

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Apply and extend previous understandings of multiplication and division to multiply and divide

fractions.

5.NF.7. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

1 Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division

Grade 5 Chapter 9:

Use Factors and Multiples

Instructional Timeline: 11 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Got Pizza!

Key Vocabulary: common factor, composite number, equivalent fractions, prime number, simplest form

Foldable Study Organizer

Chapter 9 Pretest: Are You Ready for Chapter 9? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 9 Project: A Portable Sieve

Lesson 9-1

COMMON FACTORS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: common factor, greatest common factor (GCF)

Lesson 9-1

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.3. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

Lesson 9-1

Identify common factors of a set of whole numbers

Lesson 9-2

Day 1: Use objects or pictures to identify prime and composite numbers

Day 2: Identify prime and composite numbers

Lesson 9-3

Write a fraction that is equivalent to a given fraction

Lesson 9-4

Write a fraction in simplest form

Diagnostic Assessment: Chapter 9 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 9 Test

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 9 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Introduce, Teach, Practice, and Assess: Common Factors

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 9-2

PRIME AND COMPOSITE NUMBERS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: prime factorization

Introduce, Teach, Practice, and Assess: Prime and Composite Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 9-3

EQUIVALENT FRACTIONS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: equivalent fractions

5.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction

Lesson 9-2

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 9-3

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas

Lesson 9-4

Lesson 9-5

Relate decimals to fractions

Lesson 9-6

Solve problems by looking for a pattern

Lesson 9-7

Identify common multiples of a set of whole numbers

Lesson 9-8

Choose the best strategy to solve a problem

Lesson 9-9

Day 1: Use technology to compare fractions

Day 2: Compare fractions using common denominators

Manipulatives: color tiles, counters, two-colored counters, square tiles, fraction tiles, fraction circles, connecting cubes, number line

Internet Resources

Lesson 9-1

www.macmillanmh.com

http://www.harcourtschool.com/activity/elab2004/gr6/4.html

Lesson 9-2

www.macmillanmh.com

http://www.harcourtschool.com/activity/elab2004/gr5/10.html

Lesson 9-3

www.macmillanmh.com

Introduce, Teach, Practice, and Assess: Equivalent Fractions

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Game Time

Lesson 9-4

SIMPLEST FORM

Whole Group Instruction

Daily Routine

Building Math Vocabulary: simplest form

Introduce, Teach, Practice, and Assess: Simplest Form

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 9-5

DECIMALS AND FRACTIONS

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.3. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

Lesson 9-5.Numbers and Operations in Base-Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.6. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

http://www.sheppardsoftware.com/mathgames/fractions/equivalent_fractions_shoot.htm

http://www.learningplanet.com/sam/ff/index.asp

Lesson 9-4

www.macmillanmh.com

http://www.sheppardsoftware.com/mathgames/fractions/reduce_fractions_shoot.htm

http://e-learningforkids.org/Courses/EN/M1110/index.html

Lesson 9-5

www.macmillanmh.com

http://www.quia.com/jg/65724.html

Lesson 9-6

www.macmillanm

Whole Group Instruction

Daily Routine

Review Math Vocabulary: decimal, fraction

Introduce, Teach, Practice, and Assess: Decimals and Fractions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 9-6

PROBLEM SOLVING STRATEGY; LOOK FOR A PATTERN

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Look for a Pattern

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 9-7

MULTIPLES

Whole Group Instruction

Lesson 9-6

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Lesson 9-7

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 9-8

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Lesson 9-9

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and

h.com

Lesson 9-7

www.macmillanmh.com

http://www.mathplayground.com/multiples.html

http://www.sheppardsoftware.com/mathgames/multiple/multiple_frenzy.htm

Lesson 9-8

www.macmillanmh.com

Lesson 9-9

www.macmillanmh.com

http://www.mathplayground.com/HauntedFractions/HFGameLoader.html

http://nlvm.usu.edu/en/nav/frames_asid_159_g_2_t_1.html

Daily Routine

Building Math Vocabulary: multiple, common multiple, least common multiple (LCM)

Introduce, Teach, Practice, and Assess: Multiples

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 9-8

PROBLEM SOLVING INVESTIGATION; CHOOSE THE BEST STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose the Best Strategy

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 9-9

COMPARE FRACTIONS

Whole Group Instruction

Daily Routine

division to multiply and divide fractions.

5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Building Math Vocabulary: common denominators, least common denominator (LCD)

Introduce, Teach, Practice, and Assess: Compare Fractions

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Social Studies

Study Guide and Review

Chapter 9 Test

Grade 5 Chapter 10:

Add and Subtract Fractions

Instructional Timeline: 14 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Parts of Pie

Key Vocabulary: like fractions, unlike fractions

Foldable Study Organizer

Chapter 10 Pretest: Are You Ready for Chapter 10? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 10 Project: Number Line Rounding Race

Lesson 10-1

ADD LIKE FRACTIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: simplest form

Introduce, Teach, Practice, and Assess: Add Like Fractions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 10-2

SUBTRACT LIKE FRACTIONS

Lesson 10-1

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 10-2

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad +

Lesson 10-1

Day 1: Use models to add fractions with like denominators

Day 2: Add fractions with like denominators

Lesson 10-2

Day 1: Use models to subtract fractions with like denominators

Day 2: Subtract fractions with like denominators

Lesson 10-3

Day 1: Use models to add unlike fractions

Day 2: Add unlike fractions

Lesson 10-4

Day 1: Use models to subtract unlike fractions

Day 2: Subtract unlike fractions

Lesson 10-5

Solve problems by determining reasonable answers

Lesson 10-6

Estimate sums and differences of mixed

Diagnostic Assessment: Chapter 10 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 10 Test

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 10 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: fraction circles, fraction tiles, clocks, play money

Internet Resources

Lesson 10-1

www.macmillanmh.com

http://www.sheppardsoftware.com/mathgames/

Whole Group Instruction

Daily Routine

Review Math Vocabulary: greatest common factor (GCF), simplest form

Introduce, Teach, Practice, and Assess: Subtract Like Fractions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 10-3

ADD UNLIKE FRACTIONS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: unlike fractions

Introduce, Teach, Practice, and Assess: Add Unlike Fractions

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 10-4

bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 10-3

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

numbers

Lesson 10-7

Add mixed numbers

Lesson 10-8

Subtract mixed numbers

Lesson 10-9

Choose a strategy to solve a problem

Lesson 10-10

Subtract mixed numbers

fractions/FruitShootFractionsAddition.htm

http://fen.com/studentactivities/MathSplat/mathsplat.htm

Lesson 10-2

www.macmillanmh.com

http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsSubtraction.htm

Lesson 10-3

www.macmillanmh.com

http://nlvm.usu.edu/en/nav/frames_asid_106_g_2_t_1.html

http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsAddition.htm

Lesson 10-4

www.macmillanmh

SUBTRACT UNLIKE FRACTIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: unlike fractions

Introduce, Teach, Practice, and Assess: Find Subtract Unlike Fractions

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 10-5

PROBLEM SOLVING SKILL; DETERMINE REASONABLE ANSWERS

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Determine Reasonable Answers

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 10-6

ESTIMATE SUMS AND DIFFERENCES

Whole Group Instruction

Lesson 10-4

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 10-5

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

.com

http://www.sheppardsoftware.com/mathgames/fractions/FruitShootFractionsSubtraction.htm

Lesson 10-5

www.macmillanmh.com

Lesson 10-6

www.macmillanmh.com

http://www.calculatorsoup.com/calculators/math/fractionsestimating.php

Lesson 10-7

www.macmillanmh.com

http://www.factmonster.com/math/knowledgebox/player.html?movie=sfw50952

Lesson 10-8

www.macmillanmh.com

http://www.quia.com/cb/95582.html

Daily Routine

Review Math Vocabulary: mixed number, estimate

Introduce, Teach, Practice, and Assess: Estimate Sums and Differences

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 10-7

ADD MIXED NUMBERS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: whole number, fraction

Introduce, Teach, Practice, and Assess: Add Mixed Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 10-8

SUBTRACT MIXED NUMBERS

Lesson 10-6

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 10-7

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad +

Lesson 10-9

www.macmillanmh.com

Lesson 10-10

www.macmillanmh.com

http://www.homeschoolmath.net/teaching/f/sub_mixed-b.php

Whole Group Instruction

Daily Routine

Review Math Vocabulary: simplest form

Introduce, Teach, Practice, and Assess: Subtract Mixed Numbers

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Game Time

Lesson 10-9

PROBLEM SOLVING INVESTIGATION; CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 10-10

bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 10-8

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Lesson 10-9

SUBTRACTION WITH RENAMING

Whole Group Instruction

Daily Routine

Review Math Vocabulary: improper fraction

Introduce, Teach, Practice, and Assess: Subtraction with Renaming

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Problem Solving in Science

Study Guide and Review

Chapter 10 Test

Numbers and Operations - Fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Lesson 10-10

Numbers and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Grade 5 Chapter 11:

Use Measures in the Customary System

Instructional Timeline: 9 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Measuring Up

Key Vocabulary: length, customary units, weight, capacity, elapsed time

Foldable Study Organizer

Chapter 11 Pretest: Are You Ready for Chapter 11? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 11 Project: Stepping It Up

Lesson 11-1

UNITS OF LENGTH

Whole Group Instruction

Daily Routine

Building Math Vocabulary: customary units, foot, inch, yard, mile, convert

Lesson 11-1

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were

Lesson 11-1

Day 1: Convert customary units of length to the nearest half inch and quarter inch

Day 2: Choose an appropriate customary unit for measuring the length and convert customary units of length

Lesson 11-2

Solve problems by drawing a diagram

Lesson 11-3

Convert customary units of weight

Lesson 11-4

Convert customary

Diagnostic Assessment: Chapter 11 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 11 Test

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 11 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Introduce, Teach, Practice, and Assess: Units of Length

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 11-2

PROBLEM SOLVING STRATEGY; DRAW A DIAGRAM

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Draw a Diagram

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 11-3

UNITS OF WEIGHT

Whole Group Instruction

Daily Routine

Building Math Vocabulary: weight, pound, ounce, ton

redistributed equally.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical

units of capacity

Lesson 11-5

Converts units of time

Lesson 11-6

Choose the best strategy to solve a problem

Lesson 11-7

Add and subtract measures of time

Manipulatives: rulers, capacity containers, demonstration clock

Internet Resources

Lesson 11-1

www.macmillanmh.com

http://www.mrnussbaum.com/sal/index.html

Lesson 11-2

www.macmillanmh.com

http://www.mathplayground.com/gsmbegin.html

Lesson 11-3

www.macmillanmh.com

http://www.sheppardsoftware.com/mathgames/measurement/MeasurementOunces.htm

Lesson 11-4

Introduce, Teach, Practice, and Assess: Units of Weight

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 11-4

UNITS OF CAPACITY

Whole Group Instruction

Daily Routine

Building Math Vocabulary: capacity, cup, fluid ounce, pint, quart, gallon

Introduce, Teach, Practice, and Assess: Units of Capacity

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid-Chapter Check

Lesson 11-5

UNITS OF TIME

Whole Group Instruction

Daily Routine

Review Math Vocabulary: units of time

problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 11-2

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 11-3

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 11-4

Measurement and Data

www.macmillanmh.com

http://www.mrnussbaum.com/soda/index.html

http://www.quia.com/rr/138504.html

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/measures/index.htm

Lesson 11-5

www.macmillanmh.com

http://www.mrnussbaum.com/bedtime/index.html

Lesson 11-6

www.macmillanmh.com

http://www.mrnussbaum.com/bmf/index.html

Lesson 11-7

www.macmillanmh.com

http://nlvm.usu.edu/en/nav/frames_asid_318_g_3_t_4.html

Introduce, Teach, Practice, and Assess: Units of Time

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 11-6

PROBLEM SOLVING INVESTIGATION; CHOOSE THE BEST STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose the Best Strategy

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Health

Lesson 11-7

ELAPSED TIME

Whole Group Instruction

Daily Routine

Building Math Vocabulary: elapsed time

Introduce, Teach, Practice, and Assess:

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 11-5

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 11-6

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 11-7

Outside common core state standards; however, necessary for leverage and endurance purposes

http://www.shodor.org/interactivate/activities/ElapsedTime/

Elapsed Time

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 11 Test

Grade 5 Chapter 12:

Use Measures in the Metric System

Instructional Timeline: 9 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Metrics and Place Value

Key Vocabulary: metric system, mass, negative number, positive number, integer

Foldable Study Organizer

Chapter 12 Pretest: Are You Ready for Chapter 12? On Level, Above/Beyond-

Lesson 12-1

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a

Lesson 12-1

Day 1: Measure length to the nearest millimeter

Day 2: Choose an appropriate metric unit for measuring length and convert metric

Diagnostic Assessment: Chapter 12 Pretest

Formative Assessment:

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 12 Resource Masters

Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 12 Project: Morning, Noon, and Night

Lesson 12-1

UNITS OF LENGTH

Whole Group Instruction

Daily Routine

Building Math Vocabulary: metric system, centimeter, millimeter, meter, kilometer

Introduce, Teach, Practice, and Assess: Units of Length

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 12-2

PROBLEM SOLVING SKILL; DETERMINE REASONABLE ANSWERS

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Determine Reasonable Answers

Small Group Differentiated Instruction

given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 12-2

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 12-3

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 12-4

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 12-5

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane

units of length

Lesson 12-2

Solve problems by determining reasonable answers

Lesson 12-3

Convert metric units of mass

Lesson 12-4

Convert metric units of capacity

Lesson 12-5

Use integers to represent real-life situations and graph them on number line

Lesson 12-6

Day 1: Use technology to make and explain line graphs

Day 2: Choose appropriate temperatures in degrees Fahrenheit and Celsius

Lesson 12-7

Choose the best strategy to solve a problem

Mid-Chapter Test

Summative Assessment: Chapter 12 Test

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: ruler, pan scale, scale, thermometers

Internet Resources

Lesson 12-1

www.macmillanmh.com

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/measures/index.htm

http://www.teachingmeasures.co.uk/length/dragdist/ruler30cm.html

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 12-3

UNITS OF MASS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: mass, gram, milligram, kilogram

Introduce, Teach, Practice, and Assess: Units of Mass

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 12-4

UNITS OF CAPACITY

Whole Group Instruction

Daily Routine

Building Math Vocabulary: liter, milliliter

Introduce, Teach, Practice, and Assess: Units of Capacity

Lesson 12-6

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 12-7

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Lesson 12-2

www.macmillanmh.com

http://www.sciencekids.co.nz/gamesactivities/math/problemsolving.html

Lesson 12-3

www.macmillanmh.com

http://www.mrnussbaum.com/probfair.htm

Lesson 12-4

www.macmillanmh.com

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/measures/index.htm

http://www.taw.org.uk/lic/itp/itps/measuringCylinder_1_2.swf

Lesson 12-5

www.macmillanmh

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Mid Chapter Check

Lesson 12-5

INTEGERS AND GRAPHING ON NUMBER LINES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: positive number, negative number, integer, negative integers, positive integers, opposite integers

Introduce, Teach, Practice, and Assess: Integers and Graphing on Number Lines

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 12-6

UNITS OF TEMPERATURE

Whole Group Instruction

.com

http://www.funbrain.com/cgi-bin/nl.cgi?A1=s&A2=3

Lesson 12-6

www.macmillanmh.com

http://www.neok12.com/Heat-Temperature.htm

Lesson 12-7

www.macmillanmh.com

http://www.mathplayground.com/wp_5A.html

Daily Routine

Introduce, Teach, Practice, and Assess: Unite of Temperature

Building Math Vocabulary: degrees, Celsius (C),Fahrenheit (F)

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Social Studies

Lesson 12-7

PROBLEM SOLVING INVESTIGATION; CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 12 Test

Grade 5 Chapter 13:

Identify, Compare, and Classify Geometric Figures

Instructional Timeline: 11 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Identify, Compare, and Classify Geometric Figures

Key Vocabulary: parallel lines, perpendicular lines, translation, reflection, rotation

Foldable Study Organizer

Chapter 13 Pretest: Are You Ready for Chapter 13? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 13 Project: Identify It!

Lesson 13-1

GEOMETRY VOCABULARY

Whole Group Instruction

Daily Routine

Building Math Vocabulary: point, line, ray, line segment, plane, intersecting lines,

Lesson 13-1

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate

Lesson 13-1

Identify and label basic geometric terms

Lesson 13-2

Solve problems by using logical reasoning

Lesson 13-3

Day 1: Use turns on circles to identify angles

Day 2: Identify characteristics of triangles

Lesson 13-4

Identify characteristics of quadrilaterals

Lesson 13-5

Choose the best strategy to solve a

Diagnostic Assessment: Chapter 13 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 13 Test

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 2 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: rulers,

perpendicular lines, parallel lines, congruent line segments

Introduce, Teach, Practice, and Assess: Geometry Vocabulary

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 13-2

PROBLEM SOLVING STRATEGY; USE LOGICAL REASONING

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Use Logical Reasoning

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 13-3

TRIANGLES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: isosceles

plane, and interpret coordinate values of points in the context of the situation.

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

5.G.4. Classify two-dimensional figures in a hierarchy based on properties.

Lesson 13-2

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

Lesson 13-3

problem

Lesson 13-6

Sketch translations on a coordinate grid

Lesson 13-7

Sketch reflections on a coordinate grid

Lesson 13-8

Sketch rotations on a coordinate grid

Lesson 13-9

Identify translations

protractor, pattern blocks

Internet Resources

Lesson 13-1

www.macmillanmh.com

http://www.aplusmath.com/cgi-bin/games/geomatho

http://www.quia.com/cc/805.html

Lesson 13-2

www.macmillanmh.com

http://www.mathplayground.com/wp_5B.html

Lesson 13-3

www.macmillanmh.com

http://www.math-play.com/classifying-triangles/classifying-triangles.html

Lesson 13-4

www.macmillanmh.com

triangle, equilateral triangle, scalene triangle, acute triangle, right triangle, obtuse triangle

Introduce, Teach, Practice, and Assess: Triangles

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 13-4

QUADRILATERALS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: quadrilateral, parallelogram, rhombus, rectangle, square, trapezoid

Introduce, Teach, Practice, and Assess: Quadrilaterals

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Game Time

Mid Chapter Check

Homework Practice

Lesson 13-5

PROBLEM SOLVING INVESTIGATION;

Geometry

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

5.G.4. Classify two-dimensional figures in a hierarchy based on properties

Lesson 13-4

Geometry

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

5.G.4. Classify two-dimensional figures in a hierarchy based on properties

Lesson 13-5

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0

http://teams.lacoe.edu/documentation/classrooms/amy/geometry/6-8/activities/quad_quest/quad_quest.html

http://www.xpmath.com/forums/arcade.php?do=play&gameid=84

http://www.mathsisfun.com/geometry/quadrilaterals-interactive.html

Lesson 13-5

www.macmillanmh.com

http://mathplayground.com/olympic_math1.html

Lesson 13-6

www.macmillanmh.com

http://www.mathsisfun.com/geometry/translation.html

Lesson 13-7

www.macmillanmh

CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 13-6

TRANSLATIONS AND GRAPHS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: transformation, image, translation

Introduce, Teach, Practice, and Assess: Translations and Graphs

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 13-7

on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Lesson 13-6

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and

.com

http://www.ixl.com/math/grade-6/reflections-graph-the-image

Lesson 13-8

www.macmillanmh.com

http://www.mathsisfun.com/geometry/translation.html

Lesson 13-9

www.macmillanmh.com

http://www.mathplayground.com/ShapeMods/ShapeMods.html

http://www.sciencekids.co.nz/gamesactivities/math/transformation.html

http://jmathpage.com/JIMSGeometrycoordinatestransformations.html

REFLECTIONS AND GRAPHS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: reflection, line of reflection

Introduce, Teach, Practice, and Assess: Reflections and Graphs

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 13-8

ROTATIONS AND GRAPHS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: rotation

Introduce, Teach, Practice, and Assess: Rotations and Graphs

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Lesson 13-9

mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation

Lesson 13-7

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation

Lesson 13-8

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5.G.1. Use a pair of perpendicular number

IDENTIFY TRANSFORMATIONS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: transformations, translation, reflection, rotation

Introduce, Teach, Practice, and Assess: Identify Transformations

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice, Real World Math

Homework Practice

Problem Solving in Art

Study Guide and Review

Chapter 13 Test

lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

5.G.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation

Lesson 13-9

Geometry

Classify two-dimensional figures into categories based on their properties.

5.G.3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

5.G.4. Classify two-dimensional figures in a hierarchy based on properties

Grade 5 Chapter 14:

Measure Perimeter, Area, and Volume

Instructional Timeline: 14 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Fence it In

Key Vocabulary: area, perimeter, polygon, prism, three-dimensional figure

Foldable Study Organizer

Chapter 14 Pretest: Are You Ready for Chapter 14? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 14 Project: It’s Your Area

Lesson 14-1

PERIMETERS OF POLYGONS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: polygon, perimeter

Introduce, Teach, Practice, and Assess: Perimeter of Polygons

Lesson 14-1

Measurement and Data

Convert like measurement units within a given measurement system.

5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Represent and interpret data.

5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Lesson 14-1

Day 1: Use models to find the perimeters of rectangles

Day 2: Find the perimeters of polygons

Lesson 14-2

Find and estimate the areas of figures by counting squares

Lesson 14-3

Day 1: Find the areas of rectangles

Day 2: I will use models to find the area of a parallelograms

Lesson 14-4

Identify characteristics of three-dimensional figures

Lesson 14-5

Diagnostic Assessment: Chapter 14 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 14 Test

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 14 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: Square tiles, square pattern bocks, base-

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 14-2

AREAS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: area

Introduce, Teach, Practice, and Assess: Areas

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 14-3

AREAS OF RECTANGLES AND SQUARES

Whole Group Instruction

Daily Routine

Review Math Vocabulary: rectangle, square

Introduce, Teach, Practice, and Assess: Areas of Rectangles and Squares

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Solve problems by making a model

Lesson 14-6

Day 1: use models to find the volumes of prisms

Day 2: Find the volume of rectangular prisms

Lesson 14-7

Day 1: Use models to find the surface areas of rectangular prisms

Day 2: Find the surface areas of rectangular prisms

Lesson 14-8

Select and use appropriate units and formulas to measure length, perimeter

Lesson 14-9

Choose the best strategy to solve a problem

ten blocks, geo boards, centimeter cubes, coins, two-colored counters, connecting cubes

Internet Resources

Lesson 14-1

www.macmillanmh.com

http://www.funbrain.com/cgi-bin/poly.cgi

http://www.bbc.co.uk/schools/gcsebitesize/maths/geometry/areaandperimeteract.shtml

Lesson 14-2

www.macmillanmh.com

http://www.shodor.org/interactivate/activities/ShapeExplorer/

http://pbskids.org/cyberchase/videos/area-alert/

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Mid Chapter Check

Lesson 14-4

THREE-DIMENSIONAL FIGURES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: three-dimensional figure, polyhedron, prism, base, face, edge, vertex, rectangular prism, triangular prism, cylinder , cone

Introduce, Teach, Practice, and Assess: Three-Dimensional Figures

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 14-5

PROBLEM SOLVING STRATEGY; MAKE A MODEL

Whole Group Instruction

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-2

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g.,

Lesson 14-3

www.macmillanmh.com

http://www.mathplayground.com/area_perimeter.html

Lesson 14-4

www.macmillanmh.com

http://www.softschools.com/math/geometry/shapes/solids/games/

Lesson 14-5

www.macmillanmh.com

Lesson 14-6

www.macmillanmh.com

http://illuminations.nctm.org/ActivityDetail.aspx?ID=70

Lesson 14-7

www.macmillanmh.com

http://www.teacherled.com/

Daily Routine

Introduce, Teach, Practice, and Assess: Make a Model

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 14-6

VOLUMES OF PRISMS

Whole Group Instruction

Daily Routine

Building Math Vocabulary: volume

Introduce, Teach, Practice, and Assess: Volumes of Prisms

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Science

Lesson 14-7

SURFACE AREA OF PRISMS

Whole Group Instruction

Daily Routine

to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-3

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

resources/isoexplode/isoexplodeload.html

Lesson 14-8

www.macmillanmh.com

http://www.proteacher.org/c/321_area_and_perimeter.html

Lesson 14-9

www.macmillanmh.com

Building Math Vocabulary: surface area

Introduce, Teach, Practice, and Assess: Surface Area of Prisms

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 14-8

SELECT APPROPRIATE MEASUREMENT FORMULAS

Whole Group Instruction

Daily Routine

Review Math Vocabulary: formula

Introduce, Teach, Practice, and Assess: Select Appropriate Measurement Formulas

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 14-9

PROBLEM SOLVING INVESTIGATION; CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess:

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-4

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said

Choose a Strategy

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 14 Test

to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-5

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute

of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-6

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of

solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-7

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths,

equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-8

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of

multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Lesson 14-9

Measurement and Data

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure

volume.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Grade 5 Chapter 15:

Use Probability to Make Predictions

Instructional Timeline: 7 Days

Target Skills in

Math ConnectsCommon Core Standards

Learning Outcomes or Objectives

Assessments

Curriculum Resources

Introduce the Chapter

Real World: Likely or Not?

Key Vocabulary: probability, outcome, probability experiment, tree diagram

Foldable Study Organizer

Chapter 15 Pretest: Are You Ready for Chapter 15? On Level, Above/Beyond-Level, Strategic Intervention, Intensive Intervention

Math at Home

Chapter 15 Project: Probability Preferences

Lesson 15-1

PROBABILITY

Whole Group Instruction

Daily Routine

Building Math Vocabulary: probability, certain, impossible, equally likely, outcome, probability experiment

Introduce, Teach, Practice, and Assess: Probability

Lesson 15-1

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 15-2

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 15-3

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 15-4

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 15-5

Outside common core state standards; however, necessary for leverage and endurance purposes

Lesson 15-1

Determine the likelihood of an event

Lesson 15-2

Day 1: Use the probability to make a prediction

Day 2: Use fractions to describe probability

Day 3: Use technology to describe probability as a fraction

Lesson 15-3

Solve problems by working backward

Lesson 15-4

Day 1: use models to add decimals

Day 2: Add decimals

Lesson 15-5

Choose the best strategy to solve a

Diagnostic Assessment: Chapter 15 Pretest

Formative Assessment:

Mid-Chapter Test

Summative Assessment: Chapter 15 Test

Teacher Support:

Volume 2 Teacher’s Edition

Chapter 15 Resource Masters

Transparency

Flip Chart

Student Support

Student Edition

Leveled Worksheets

Manipulatives: connecting cubes, pennies, number cube labeled 1-6,

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Problem Solving in Science

Lesson 15-2

PROBABILITY AS A FRACTION

Whole Group Instruction

Daily Routine

Building Math Vocabulary: favorable outcome

Introduce, Teach, Practice, and Assess: Probability as a Fraction

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Lesson 15-3

PROBLEM-SOLVING STRATEGY: MAKE AN ORGANIZED LIST

Whole Group Instruction

Daily Routine

Introduce, Teach, Practice, and Assess: Make an Organized List

problem

Lesson 15-6

Day 1: Use models to subtract decimals

Day 2: Use models to subtract decimals

spinner

Internet Resources

Lesson 15-1

www.macmillanmh.com

http://www.mrnussbaum.com/cardsharks/index.html

http://www.subtangent.com/maths/coindice.php

Lesson 15-2

www.macmillanmh.com

http://jmathpage.com/JIMSProbabilitypage.html

Lesson 15-3

www.macmillanmh.com

Lesson 15-4

www.macmillanmh.com

http://www.mrnussbaum.com/probfair.htm

Lesson 15-5

Small Group Differentiated Instruction

Small Group: Above Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Mid Chapter Check

Lesson 15-4

COUTING OUTCOMES

Whole Group Instruction

Daily Routine

Building Math Vocabulary: tree diagram

Introduce, Teach, Practice, and Assess: Counting Outcomes

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Game Time

Lesson 15-5

PROBLEM SOLVING INVESTIGATION: CHOOSE A STRATEGY

Whole Group Instruction

Daily Routine

www.macmillanmh.com

Introduce, Teach, Practice, and Assess: Problem Solving Investigation: Choose a Strategy

Small Group Differentiated Instruction

Small Group: Below Level Activity, ELL, Reteach, Skills Practice, Enrich

Independent Work: Early Finishers, Problem-Solving Practice

Homework Practice

Study Guide and Review

Chapter 15 Test