Math Grade 4 Practice Workbook - 4th Grade with Mrs. Beyer

[Pages:200]CALIFORNIA HSP

PRACTICE

Workbook

Grade 4

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UNIT 1: UNDERSTAND WHOLE NUMBERS AND OPERATIONS

Chapter 1: Understand Place Value

1.1 Place Value Through Hundred Thousands ...........................................PW1

1.2 Model Millions....................................PW2 1.3 Place Value Through Millions............PW3 1.4 Compare Whole Numbers .................PW4 1.5 Order Whole Numbers.......................PW5 1.6 Problem Solving Workshop

Strategy: Use Logical Reasoning .......PW6

Chapter 2: Addition and Subtraction: Mental Math and Estimation

2.1 Algebra: Relate Addition and Subtraction .........................................PW7

2.2 Round Whole Numbers Through Millions ...............................................PW8

2.3 Mental Math: Addition and Subtraction Patterns ..........................PW9

2.4 Mental Math: Estimate Sums and Differences ........................................PW10

2.5 Mental Math Strategies...................PW11 2.6 Problem Solving Workshop

Skill: Estimate or Exact Answer .......PW12

Chapter 3: Add and Subtract Whole Numbers

3.1 Add and Subtract Through 5-Digit Numbers ...............................PW13

3.2 Subtract Across Zeros.......................PW14 3.3 Add and Subtract Greater

Numbers............................................PW15 3.4 Problem Solving Workshop

Skill: Too Much/Too Little Information ......................................PW16

Chapter 4: Algebra: Use Addition and Subtraction

4.1 Addition Properties..........................PW17 4.2 Write and Evaluate Expressions ......PW18 4.3 Expressions with Variables...............PW19 4.4 Addition and Subtraction

Equations ..........................................PW20

4.5 Add Equals to Equals .......................PW21 4.6 Problem Solving Workshop

Strategy: Work Backward ................PW22 4.7 Patterns: Find a Rule ........................PW23

UNIT 2: MULTIPLICATION AND DIVISION FACTS

Chapter 5: Multiplication and Division Facts

5.1 Algebra: Relate Operations.............PW24 5.2 Algebra: Relate Multiplication and

Division .............................................PW25 5.3 Multiply and Divide Facts

Through 5 .........................................PW26 5.4 Multiply and Divide Facts

Through 10 .......................................PW27 5.5 Multiplication Table Through 12 ....PW28 5.6 Patterns on a Multiplication Table ....PW29 5.7 Problem Solving Workshop

Skill: Choose the Operation.............PW30 5.8 Algebra: Find Missing Factors .........PW31

Chapter 6: Algebra: Use Multiplication and Division Facts

6.1 Multiplication Properties .................PW32 6.2 Order of Operations ........................PW33 6.3 Expressions with Parentheses..........PW34 6.4 Write and Evaluate Expressions ......PW35 6.5 Multiplication and Division

Equations ..........................................PW36 6.6 Multiply Equals by Equals................PW37 6.7 Problem Solving Workshop

Strategy: Predict and Test................PW38 6.8 Patterns: Find a Rule ........................PW39

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UNIT 3: MULTIPLY BY 1- AND 2-DIGIT NUMBERS

Chapter 7: Multiply by 1-Digit Numbers

7.1 Mental Math: Multiplication Patterns .............................................PW40

7.2 Mental Math: Estimate Products.....PW41 7.3 Problem Solving Workshop

Strategy: Draw a Diagram ...............PW42 7.4 Model 3-Digit by 1-Digit

Multiplication ...................................PW43 7.5 Record 3-Digit by 1-Digit

Multiplication ...................................PW44 7.6 Multiply 4-Digit Numbers

and Money........................................PW45 7.7 Multiply with Zeros..........................PW46

Chapter 8: Understand 2-Digit Multiplication

8.1 Mental Math: Multiplication Patterns .............................................PW47

8.2 Multiply by Tens ...............................PW48 8.3 Mental Math: Estimate Products.....PW49 8.4 Problem Solving Workshop

Skill: Multistep Problems .................PW50

Chapter 9: Multiply by 2-Digit Numbers

9.1 Model 2-Digit by 2-Digit Multiplication ...................................PW51

9.2 Record 2-Digit by 2-Digit Multiplication ...................................PW52

9.3 Multiply 2- and 3-Digit Numbers and Money........................................PW53

9.4 Multiply Greater Numbers...............PW54 9.5 Problem Solving Workshop

Skill: Evaluate Reasonableness ........PW55

UNIT 4: DIVIDE BY 1-DIGIT DIVISORS

Chapter 10: Understand Division

10.1 Divide with Remainders...................PW56 10.2 Model 2-Digit by 1-Digit Division ...PW57 10.3 Record 2-Digit by 1-Digit Division...PW58 10.4 Problem Solving Workshop

Strategy: Compare Strategies..........PW59 10.5 Mental Math: Division Patterns ......PW60 10.6 Mental Math: Estimate Quotients ..PW61 10.7 Place the First Digit ..........................PW62

Chapter 11: Practice Division

11.1 Problem Solving Workshop Skill: Interpret the Remainder.........PW63

11.2 Divide 3-Digit Numbers and Money........................................PW64

11.3 Zeros in Division ...............................PW65 11.4 Divide Greater Numbers ..................PW66

Chapter 12: Number Theory and Patterns

12.1 Factors and Multiples.......................PW67 12.2 Prime and Composite Numbers.......PW68 12.3 Factor Whole Numbers ....................PW69 12.4 Find Prime Factors............................PW70 12.5 Number Patterns ..............................PW71 12.6 Problem Solving Workshop

Strategy: Find a Pattern...................PW72

UNIT 5: DATA AND ALGEBRA

Chapter 13: Collect, Organize, and Represent Data

13.1 Collect and Organize Data ..............PW73 13.2 Make and Interpret Venn

Diagrams ...........................................PW74 13.3 Find Mode and Median ...................PW75 13.4 Read Line Plots .................................PW76 13.5 Choose a Reasonable Scale..............PW77 13.6 Problem Solving Workshop

Skill: Make Generalizations .............PW78

Chapter 14: Interpret and Graph Data

14.1 Interpret Bar Graphs ........................PW79 14.2 Make Bar and Double-Bar

Graphs ...............................................PW80 14.3 Interpret Circle Graphs ....................PW81 14.4 Algebra: Graph Ordered Pairs.........PW82 14.5 Interpret Line Graphs.......................PW83 14.6 Make Line Graphs ............................PW84 14.7 Problem Solving Workshop

Strategy: Make a Graph...................PW85 14.8 Choose an Appropriate Graph ........PW86

Chapter 15: Algebra: Explore Negative Numbers and Graphing

15.1 Temperature .....................................PW87 15.2 Explore Negative Numbers..............PW88 15.3 Problem Solving Workshop

Strategy: Act It Out ..........................PW89 15.4 Use a Coordinate Plane ...................PW90

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15.5 Length on a Coordinate Plane ........PW91 15.6 Use an Equation ...............................PW92 15.7 Graph Relationships .........................PW93 15.8 Identify Linear Relationships...........PW94

UNIT 6: FRACTIONS AND DECIMALS

Chapter 16: Understand Fractions and Mixed Numbers

16.1 Read and Write Fractions ................PW95 16.2 Model Equivalent Fractions.............PW96 16.3 Compare Fractions ...........................PW97 16.4 Order Fractions.................................PW98 16.5 Read and Write Mixed Numbers.....PW99 16.6 Compare and Order Mixed

Numbers..........................................PW100 16.7 Problem Solving Workshop

Skill: Sequence Information ..........PW101

Chapter 17: Add and Subtract Like Fractions and Mixed Numbers

17.1 Model Addition ..............................PW102 17.2 Model Subtraction .........................PW103 17.3 Record Addition and

Subtraction .....................................PW104 17.4 Problem Solving Workshop

Strategy: Write an Equation..........PW105 17.5 Add and Subtract Mixed

Numbers..........................................PW106

Chapter 18: Understand Decimals and Place Value

18.1 Relate Fractions and Decimals.......PW107 18.2 Equivalent Decimals .......................PW108 18.3 Relate Mixed Numbers and

Decimals ..........................................PW109 18.4 Compare Decimals..........................PW110 18.5 Order Decimals ...............................PW111 18.6 Problem Solving Workshop

Skill: Draw Conclusions ..................PW112

Chapter 19: Add and Subtract Decimals and Money

19.1 Round Decimals..............................PW113 19.2 Estimate Decimal Sums and

Differences ......................................PW114 19.3 Model Addition ..............................PW115 19.4 Model Subtraction .........................PW116 19.5 Record Addition and

Subtraction .....................................PW117 19.6 Problem Solving Workshop

Strategy: Compare Strategies........PW118

UNIT 7: GEOMETRY

Chapter 20: Lines, Rays, Angles, and Plane Figures

20.1 Points, Lines, and Rays ...................PW119 20.2 Classify Angles ................................PW120 20.3 Line Relationships ..........................PW121 20.4 Polygons..........................................PW122 20.5 Classify Triangles ............................PW123 20.6 Classify Quadrilaterals....................PW124 20.7 Circles ..............................................PW125 20.8 Problem Solving Workshop

Strategy: Use Logical Reasoning ...PW126

Chapter 21: Motion Geometry

21.1 Congruent Figures..........................PW127 21.2 Turns................................................PW128 21.3 Symmetry ........................................PW129 21.4 Problem Solving Workshop

Strategy: Compare Strategies........PW130 21.5 Geometric Patterns ........................PW131

Chapter 22: Solid Figures

22.1 Faces, Edges, and Vertices .............PW132 22.2 Patterns for Solid Figures ..............PW133 22.3 Different Views of Solid Figures ...PW134 22.4 Problem Solving Workshop

Strategy: Make a Model ................PW135

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UNIT 8: MEASUREMENT AND PROBABILITY

Chapter 23: Perimeter and Area

23.1 Customary Measurements .............PW136 23.2 Metric Measurements ....................PW137 23.3 Estimate and Measure Perimeter..PW138 23.4 Algebra: Find Perimeter ................PW139 23.5 Problem Solving Workshop

Skill: Use a Formula........................PW140 23.6 Estimate Area .................................PW141 23.7 Algebra: Find Area.........................PW142 23.8 Problem Solving Workshop

Strategy: Solve a Simpler Problem...........................................PW143 23.9 Relate Perimeter and Area ............PW144

Chapter 24: Probability

24.1 List All Possible Outcomes .............PW145 24.2 Problem Solving Workshop

Strategy: Make an Organized List ................................PW146 24.3 Make Predictions............................PW147 24.4 Probability as a Fraction ................PW148 24.5 Experimental Probability ...............PW149 24.6 Tree Diagrams.................................PW150

Spiral Review

Week 1.......................................................... SR1 Week 2.......................................................... SR2 Week 3.......................................................... SR3 Week 4.......................................................... SR4 Week 5.......................................................... SR5 Week 6.......................................................... SR6 Week 7.......................................................... SR7 Week 8.......................................................... SR8 Week 9.......................................................... SR9 Week 10...................................................... SR10 Week 11...................................................... SR11 Week 12...................................................... SR12 Week 13...................................................... SR13 Week 14...................................................... SR14 Week 15...................................................... SR15 Week 16...................................................... SR16 Week 17...................................................... SR17 Week 18...................................................... SR18 Week 19...................................................... SR19 Week 20...................................................... SR20

Week 21...................................................... SR21 Week 22...................................................... SR22 Week 23...................................................... SR23 Week 24...................................................... SR24 Week 25...................................................... SR25 Week 26...................................................... SR26 Week 27...................................................... SR27 Week 28...................................................... SR28 Week 29...................................................... SR29 Week 30...................................................... SR30 Week 31...................................................... SR31 Week 32...................................................... SR32 Week 33...................................................... SR33 Week 34...................................................... SR34 Week 35...................................................... SR35 Week 36...................................................... SR36

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Lesson 1.1

Place Value Through Hundred Thousands

Write each number in two other forms 1. 50,000 3,000 700 5

2. eight hundred thousand, nine hundred thirty-seven

3. 420,068

4. 78,641

Complete.

5. 290,515 two hundred ninety 90,000

, five hundred fifteen 10 5

6.

10,000 3,000 100 80 9 413,1

four hundred thirteen thousand, one

eighty-nine

Write the value of the underlined digit in each number.

7. 705,239

8. 417,208

9. 914,325

10. 360,044

Problem Solving and Test Prep

11. In 2005, there were 20,556 Bulldogs registered in the American Kennel Club. What are two ways you can represent the number?

12. In 2005, the Labrador Retriever was the most popular breed in the American Kennel Club with 137,867 registered. Write the number in two other forms.

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13. What is the value of the digit 9 in 390,215? A 900 B 9,000 C 90,000 D 900,000

14. In February, eighty-five thousand, six

hundred thirteen people went to the

Westminster Dog Show. What is the

number in standard form?

A 850,630

C 850,613

B 85,630

D 85,613

PW1

Practice

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Model Millions

Solve. 1. How many hundreds are in 100,000?

Lesson 1.2 2. How many thousands are in 10,000?

3. How many thousands are in 1,000,000?

5. How many hundreds are in 1,000,000?

4. How many hundreds are in 10,000?

6. How many thousands are in 100,000?

Tell whether each number is large enough to be in the millions or more. Write yes or no.

7. the number of people at a baseball stadium for one game

8. the distance in miles to the nearest star outside our solar system

9. the number of leaves on the trees in a forest

10. the distance in feet across a swimming pool

11. the number of cars people own in the 12. the number of trips a bus might make

United States

in one day

13. the number of bags of trash a family makes in one month

14. the distance in miles from one city to another in your state

15. the number of fourth graders in the United States

16. the number of miles you might travel to reach the Moon

17. the number of gallons of water in the 18. the number of stars in the solar

ocean

system

Choose the number in which the digit 5 has the greater value.

19. 435,767 or 450,767

20. 510,000 or 5,100,000

21. 125,000,000 or 521,000,000

22. 435,003 or 4,300,500

23. 1,511,672 or 115,672

24. 40,005,400 or 350,400,300

25. 135,322,000 or 9,450,322

26. 35,000,000 or 3,500,000

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PW2

Practice

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