Practice Workbook, Grade 4 (PE)

Practice Workbook

PUPIL EDITION Grade 4

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CONTENTS

Unit 1: UNDERSTAND NUMBERS AND OPERATIONS

Chapter 1: Place Value and Number Sense 1. 1 Benchmark Numbers . . . . . . . . . . . . . 1 1.2 Understand Place Value . . . . . . . . . . 2 1.3 Place Value Through Hundred

Thousands . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Place Value Through Millions . . . . . 4 1.5 Problem Solving Skill: Use

a Graph . . . . . . . . . . . . . . . . . . . . . . . . 5

Chapter 2: Compare and Round Numbers 2. 1 Compare Numbers . . . . . . . . . . . . . . 6 2.2 Order Numbers . . . . . . . . . . . . . . . . . 7 2.3 Problem Solving Strategy:

Make a Table . . . . . . . . . . . . . . . . . . . 8 2.4 Round Numbers . . . . . . . . . . . . . . . . . 9

Chapter 3: Add and Subtract Greater Numbers 3. 1 Estimate Sums and Differences . . . 10 3.2 Use Mental Math Strategies . . . . . . 11 3.3 Add and Subtract 4-Digit

Numbers . . . . . . . . . . . . . . . . . . . . . . . 12 3.4 Subtract Across Zeros . . . . . . . . . . . . 13 3.5 Choose a Method . . . . . . . . . . . . . . . 14 3.6 Problem Solving Skill: Estimate or

Find Exact Answer . . . . . . . . . . . . . . . 15

Chapter 4: Algebra: Use Addition and Subtraction 4. 1 Expressions . . . . . . . . . . . . . . . . . . . . . 16 4.2 Use Parentheses . . . . . . . . . . . . . . . . . 17 4.3 Match Words and Expressions . . . . 18

4.4 Use Varibles . . . . . . . . . . . . . . . . . . . . 19 4.5 Find a Rule . . . . . . . . . . . . . . . . . . . . . 20 4.6 Equations . . . . . . . . . . . . . . . . . . . . . . 21 4.7 Problem Solving Strategy:

Make a Model . . . . . . . . . . . . . . . . . . 22

Unit 2: DATA, GRAPHING, AND TIME

Chapter 5: Collect and Organize Data 5. 1 Collect and Organize Data . . . . . . . 23 5.2 Find Median and Mode . . . . . . . . . . 24 5.3 Line Plot . . . . . . . . . . . . . . . . . . . . . . . 25 5.4 Stem-and-Leaf Plot . . . . . . . . . . . . . . 26 5.5 Compare Graphs . . . . . . . . . . . . . . . . 27 5.6 Problem Solving Strategy:

Make a Graph . . . . . . . . . . . . . . . . . . . 28

Chapter 6: Analyze and Graph Data 6. 1 Double-Bar Graphs . . . . . . . . . . . . . . 29 6.2 Read Line Graphs . . . . . . . . . . . . . . . . 30 6.3 Make Line Graphs . . . . . . . . . . . . . . . 31 6.4 Choose an Appropriate

Graph. . . . . . . . . . . . . . . . . . . . . . . . . . 32 6.5 Problem Solving Skill: Draw

Conclusions . . . . . . . . . . . . . . . . . . . . 33

Chapter 7: Understand Time 7. 1 Before and After the Hour . . . . . . . 34 7.2 A.M. and P.M. . . . . . . . . . . . . . . . . . . . 35 7.3 Elapsed Time . . . . . . . . . . . . . . . . . . . 36 7.4 Problem Solving Skill: Sequence

Information . . . . . . . . . . . . . . . . . . . . . 37 7.5 Elapsed Time on a Calendar . . . . . . 38

Unit 3: MULTIPLICATION AND DIVISION FACTS

Chapter 8: Practice Multiplication and Division Facts 8. 1 Relate Multiplicationand Division . 39 8.2 Multiply and Divide Facts

Through 5 . . . . . . . . . . . . . . . . . . . . . . 40 8.3 Multiply and Divide Facts

Through 10 . . . . . . . . . . . . . . . . . . . . . 41 8.4 Multiplication Table

Through 12 . . . . . . . . . . . . . . . . . . . . . 42 8.5 Multiply 3 Factors . . . . . . . . . . . . . . . 43 8.6 Problem Solving Skill: Choose

the Operation . . . . . . . . . . . . . . . . . . 44

Chapter 9: Algebra: Use Multiplication and Division Facts 9. 1 Expressions with Parentheses . . . . . 45 9.2 Match Words and Expressions . . . . 46 9.3 Equations . . . . . . . . . . . . . . . . . . . . . . 47 9.4 Expressions with Variables . . . . . . . 48 9.5 Equations with Variables . . . . . . . . . 49 9.6 Find a Rule . . . . . . . . . . . . . . . . . . . . . 50 9.7 Problem Solving Strategy:

Work Backward . . . . . . . . . . . . . . . . . 51

Unit 4: MULTIPLY BY 1- AND 2-DIGIT NUMBERS

Chapter 10: Multiply by 1-Digit Numbers 10. 1 Mental Math: Multiplication

Patterns . . . . . . . . . . . . . . . . . . . . . . . 52 10.2 Estimate Products . . . . . . . . . . . . . . 53 10.3 Multiply 2-Digit Numbers . . . . . . . 54 10.4 Model Multiplication . . . . . . . . . . . 55 10.5 Multiply 3-Digit Numbers . . . . . . . 56 10.6 Multiply 4-Digit Numbers . . . . . . . 57 10.7 Problem Solving Strategy:

Write an Equation . . . . . . . . . . . . . . 58

Chapter 11: Understand Multiplication 11. 1 Mental Math: Patterns

with Multiples . . . . . . . . . . . . . . . . . 59 11.2 Multiply by Multiples of 10 . . . . . . 60 11.3 Estimate Products . . . . . . . . . . . . . . 61 11.4 Model Multiplication . . . . . . . . . . . 62 11.5 Problem Solving Strategy: Solve a

Simpler Problem . . . . . . . . . . . . . . . . 63

Chapter 12: Multiply by 2-Digit Numbers 12. 1 Multiply by2-Digit Numbers . . . . . 64 12.2 More About Multiplying by

2-Digit Numbers . . . . . . . . . . . . . . . . 65 12.3 Choose a Method . . . . . . . . . . . . . . 66 12.4 Practice Multiplication . . . . . . . . . . 67 12.5 Problem Solving Skill: Multistep

Problems . . . . . . . . . . . . . . . . . . . . . . 68

Unit 5: DIVIDE BY 1- AND 2-DIGIT DIVISORS

Chapter 13: Understand Division 13. 1 Divide with Remainders . . . . . . . . . 69 13.2 Model Division . . . . . . . . . . . . . . . . . 70 13.3 Division Procedures . . . . . . . . . . . . . 71 13.4 Problem Solving Strategy: Predict

and Test . . . . . . . . . . . . . . . . . . . . . . . 72 13.5 Mental Math: Division

Patterns . . . . . . . . . . . . . . . . . . . . . . . 73 13.6 Estimate Quotients . . . . . . . . . . . . . 74

Chapter 14: Divide by 1-Digit Divisors 14. 1 Place the First Digit . . . . . . . . . . . . . 75 14.2 Divide 3-Digit Numbers . . . . . . . . . 76 14.3 Zeros in Division . . . . . . . . . . . . . . . . 77 14.4 Choose a Method . . . . . . . . . . . . . . 78 14.5 Problem Solving Skill: Interpret

the Remainder . . . . . . . . . . . . . . . . . 79 14.6 Find the Mean . . . . . . . . . . . . . . . . . . 80

Chapter 15: Divide by 2-Digit Divisors 15. 1 Division Patterns to

Estimate . . . . . . . . . . . . . . . . . . . . . . . 81 15.2 Model Division . . . . . . . . . . . . . . . . . 82 15.3 Division Procedures . . . . . . . . . . . . . 83 15.4 Correcting Quotients . . . . . . . . . . . 84 15.5 Problem Solving Skill: Choose

the Operation . . . . . . . . . . . . . . . . . . 85

Chapter 16: Patterns with Factors and Multiples 16. 1 Factors and Multiples . . . . . . . . . . . 86 16.2 Factor Numbers . . . . . . . . . . . . . . . . 87 16.3 Prime and Composite

Numbers . . . . . . . . . . . . . . . . . . . . . . 88 16.4 Find Prime Factors . . . . . . . . . . . . . . 89 16.5 Problem Solving Strategy:

Find a Pattern . . . . . . . . . . . . . . . . . . 90

Unit 6: GEOMETRY

Chapter 17: Plane Figures 17. 1 Lines, Rays, and Angles . . . . . . . . . .91 17.2 Line Relationships . . . . . . . . . . . . . .92 17.3 Congruent Figures and

Motion . . . . . . . . . . . . . . . . . . . . . . . .93 17.4 Symmetric Figures . . . . . . . . . . . . . .94 17.5 Problems Solving Strategy:

Make a Model . . . . . . . . . . . . . . . . . .95

Chapter 18: Measure and Classify Plane Figures 18. 1 Turns and Degrees . . . . . . . . . . . . . .96 18.2 Measure Angles . . . . . . . . . . . . . . . .97 18.3 Circles . . . . . . . . . . . . . . . . . . . . . . . . .98 18.4 Circumference . . . . . . . . . . . . . . . . .99 18.5 Classify Triangles . . . . . . . . . . . . . . .100 18.6 Classify Quadrilaterals . . . . . . . . . .101 18.7 Problem Solving Strategy:

Draw a Diagram . . . . . . . . . . . . . . . .102

Unit 7: FRACTIONS AND DECIMALS

Chapter 19: Understand Fractions 19. 1 Read and Write Fractions . . . . . . . .103 19.2 Equivalent Fractions . . . . . . . . . . . .104 19.3 Equivalent Fractions . . . . . . . . . . . .105 19.4 Compare and Order Fractions . . . .106 19.5 Problem Solving Strategy:

Make a Model . . . . . . . . . . . . . . . . . .107 19.6 Mixed Numbers . . . . . . . . . . . . . . . .108

Chapter 20: Add and Subtract Fractions and Mixed Numbers 20. 1 Add Like Fractions . . . . . . . . . . . . . .109 20.2 Subtract Like Fractions . . . . . . . . . .110 20.3 Add and Subtract Mixed

Numbers . . . . . . . . . . . . . . . . . . . . . .111 20.4 Problem Solving Skill: Choose

the Operation . . . . . . . . . . . . . . . . . .112 20.5 Add Unlike Fractions . . . . . . . . . . . .113 20.6 Subtract Unlike Fractions . . . . . . . .114

Chapter 21: Understand Decimals 21. 1 Relate Fractions and Decimals . . .115 21.2 Thousandths . . . . . . . . . . . . . . . . . . .116 21.3 Equivalent Decimals . . . . . . . . . . . .117 21.4 Relate Mixed Numbers and

Decimals . . . . . . . . . . . . . . . . . . . . . .118 21.5 Compare and Order Decimals . . . .119 21.6 Problem Solving Strategy: Use

Logical Reasoning . . . . . . . . . . . . . . .120

Chapter 22: Add and Subtract Decimals 22. 1 Round Decimals . . . . . . . . . . . . . . .121 22.2 Estimate Sums and Differences . .122 22.3 Add Decimals . . . . . . . . . . . . . . . . . .123 22.4 Subtract Decimals . . . . . . . . . . . . . .124 22.5 Add and Subtract Decimals . . . . .125 22.6 Problem Solving Skill:

Evaluate Reasonableness of Answers . . . . . . . . . . . . . . . . . . . .126

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