Homework Practice and Problem-Solving Practice Workbook

[Pages:243]Homework Practice and Problem-Solving Practice Workbook

Contents Include:

? 119 Homework Practice worksheetsone for each lesson

? 119 Problem-Solving Practice worksheetsone for each lesson to apply lesson concepts in a real-world situation

Homework Practice and Problem-Solving Practice Workbook

TO THE TEACHER These worksheets are the same ones found in the Chapter Resource Masters for California Mathematics, Grade 4. The answers to these worksheets are available at the end of each Chapter Resource Masters booklet.

Copyright ? by the McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior written permission of the publisher.

Send all inquiries to: Macmillan/McGraw-Hill 8787 Orion Place Columbus, OH 43240

ISBN: 978-0-02-111968-4 MHID: 0-02-111968-6

Homework Practice/Problem Solving Practice Workbook, Grade 4

Printed in the United States of America.

7 8 9 10 11 12 13 14 15 16 HES 19 18 17 16 15 14 13 12 11 10

Table of Contents

Copyright ? Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Chapter 1 Place Value and Number Sense 1-1 Place Value Through Hundred

Thousands............................................................... 1 1-2 Place Value Through Millions ........................... 3 1-3 Problem-Solving Strategy: Use

the Four-Step Plan ............................................... 5 1-4 Compare Whole Numbers................................. 7 1-5 Order Whole Numbers........................................ 9 1-6 Round Whole Numbers....................................11 1-7 Problem-Solving Investigation:

Choose a Strategy ..............................................13 Chapter 2 Addition and Subtraction 2-1 Algebra: Addition Properties and

Subtraction Rules................................................15 2-2 Estimate Sums and Differences.....................17 2-3 Problem-Solving Skill: Estimate

or Exact Answer ..................................................19 2-4 Add Numbers.......................................................21 2-5 Subtract Numbers .............................................23 2-6 Problem-Solving Investigation:

Choose a Strategy ..............................................25 2-7 Subtract Across Zeros........................................27 Chapter 3 Algebra: Use Addition and

Subtraction 3-1 Addition and Subtraction

Expressions ...........................................................29 3-2 Solve Equations Mentally.................................31 3-3 Problem-Solving Skill: Extra

or Missing Information......................................33 3-4 Algebra: Find a Rule ..........................................35 3-5 Problem-Solving Investigation:

Choose a Strategy ..............................................37 3-6 Balanced Equations ...........................................39 Chapter 4 Statistics: Data and Graphs 4-1 Collect and Organize Data...............................41 4-2 Find Mode, Median, and

Outliers...................................................................43 4-3 Problem-Solving Strategy: Make

a Table ...................................................................45 4-4 Line Plots...............................................................47 4-5 Bar and Double Bar Graphs............................49 4-6 Problem-Solving Investigation:

Choose a Strategy ..............................................51 4-7 Interpret Line Graphs ........................................53 4-8 Analyze Graphs....................................................55 Chapter 5 Multiplication and Division Facts 5-1 Relate Multiplication and

Division ..................................................................57

5-2 Algebra: Multiplication and Division Properties ...........................................59

5-3 Multiply and Divide Facts Through 5 ...........................................................61

5-4 Problem-Solving Skill: Choose an Operation......................................................63

5-5 Multiply and Divide Facts Through 10.........................................................65

5-6 Multiply with 11 and 12 ................................67 5-7 Problem-Solving Investigation:

Choose a Strategy ............................................69 5-8 Multiply Three Numbers ................................71 5-9 Factors and Multiples......................................73 5-10 Prime and Composite Numbers .................75 Chapter 6 Algebra: Use Multiplication and

Division 6-1 Multiplication and Division

Expressions ...........................................................77 6-2 Problem-Solving Strategy: Work

Backward...............................................................79 6-3 Order of Operations...........................................81 6-4 Solve Equations Mentally.................................83 6-5 Problem-Solving Investigation:

Choose a Strategy ..............................................85 6-6 Algebra: Find a Rule ..........................................87 6-7 Balanced Equations ...........................................89 Chapter 7 Multiply by One-Digit Numbers 7-1 Multiples of 10, 100, and 1,000....................91 7-2 Problem-Solving Skill:

Reasonable Answers .........................................93 7-3 Use Rounding to Estimate Products.............95 7-4 Multiply Two-Digit Numbers...........................97 7-5 Problem-Solving Investigation:

Choose a Strategy ..............................................99 7-6 Multiply Multi Digit Numbers ...................... 101 7-7 Multiply Across Zeros ..................................... 103 Chapter 8 Multiply by Two-Digit Numbers 8-1 Multiply by Tens............................................... 105 8-2 Estimate Products............................................ 107 8-3 Problem-Solving Strategy:

Act it out............................................................. 109 8-4 Multiply Two-Digit Numbers........................ 111 8-5 Multiply Three-Digit Numbers

by Two-Digit Numbers................................... 113 8-6 Problem-Solving Investigation:

Choose a Strategy ........................................... 115 8-7 Multiply Greater Numbers ............................ 117

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Chapter 9 Divide by One-digit Numbers 9-1 Division with Remainders............................. 119 9-2 Divide Multiples of 10, 100,

and 1,000........................................................... 121 9-3 Problem-Solving Strategy:

Guess and Check............................................. 123 9-4 Estimate Quotients.......................................... 125 9-5 Two-Digit Quotients........................................ 127 9-6 Problem-Solving Investigation:

Choose a Strategy ........................................... 129 9-7 Three-Digit Quotients..................................... 131 9-8 Quotients with Zeros...................................... 133 9-9 Divide Greater Numbers................................ 135 Chapter 10 Geometry 10-1 Solid Figures ................................................... 137 10-2 Plane Figures .................................................. 139 10-3 Problem-Solving Strategy:

Look for a Pattern ......................................... 141 10-4 Lines, Line Segments, and Rays ............... 143 10-5 Angles ............................................................... 145 10-6 Problem-Solving Investigation:

Choose a Strategy......................................... 147 10-7 Triangles........................................................... 149 10-8 Quadrilaterals ................................................. 151 10-9 Parts of a Circle ............................................. 153 Chapter 11 Geometry and Measurement 11-1 Geometry: Congruent .................................. 155 11-2 Geometry: Symmetry ................................... 157 11-3 Measurement: Perimeter............................ 159 11-4 Problem-Solving Strategy:

Solve a Simpler Problem............................ 161 11-5 Measurement: Area...................................... 163 11-6 Problem-Solving Investigation:

Choose a Strategy......................................... 165 11-7 Measurement: Area of Complex

Figures .............................................................. 167 Chapter 12 Algebra and Graphing 12-1 Negative Numbers ........................................ 169 12-2 Find Points on a Grid................................... 171 12-3 Graph Ordered Pairs .................................... 173 12-4 Problem-Solving Strategy:

Use Logical Reasoning ................................ 175 12-5 Functions ......................................................... 177 12-6 Graph Functions ............................................ 179 12-7 Problem-Solving Investigation:

Choose a Strategy......................................... 181

Chapter 13 Fractions 13-1 Parts of a Whole............................................ 183 13-2 Parts of a Set .................................................. 185 13-3 Problem-Solving Strategy:

Draw a Picture ............................................... 187 13-4 Equivalent Fractions ..................................... 189 13-5 Simplest Form ................................................ 191 13-6 Problem-Solving Investigation:

Choose a Strategy......................................... 193 13-7 Compare and Order Fractions .................. 195 13-8 Add and Subtract Like Fractions .............. 197 13-9 Mixed Numbers ............................................. 199 Chapter 14 Decimals 14-1 Tenths and Hundredths .............................. 201 14-2 Relate Mixed Numbers and

Decimals .......................................................... 203 14-3 Problem-Solving Strategy:

Make a Model ................................................ 205 14-4 Compare and Order Decimals.................. 207 14-5 Problem-Solving Investigation:

Choose a Strategy......................................... 209 14-6 Fraction and Decimal

Equivalents...................................................... 211 14-7 Decimals, Fractions and

Mixed Numbers ............................................. 213 Chapter 15 Decimals: Addition and

Subtraction 15-1 Round Decimals ............................................ 215 15-2 Estimate Decimal Sums and

Differences ...................................................... 217 15-3 Problem-Solving Skill:

Work Backward.............................................. 219 15-4 Add Decimals ................................................. 221 15-5 Problem-Solving Investigation:

Choose a Strategy......................................... 223 15-6 Subtract Decimals ......................................... 225 Chapter 16 Probability 16-1 Probability and Outcomes ......................... 227 16-2 Probability and Fractions ............................ 229 16-3 Problem-Solving Strategy:

Make an Organized List .............................. 231 16-4 Find Probability.............................................. 233 16-5 Problem-Solving Investigation:

Choose a Strategy......................................... 235 16-6 Tree Diagrams ................................................ 237

Copyright ? Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

iv

Copyright ? Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Chapter Resources

Name

1?1

Homework Practice

Date

4NS1.1

Place Value Through Hundred Thousands

Write each number in standard form. 1. three hundred twenty-six thousand, four hundred fifty-one.

2. one hundred forty-five thousand, two hundred thirty-seven.

Write each number in word form and expanded form. 3. 87,192

4. 413,750

Complete the expanded form.

5. 91,765 = 90,000 +

+ 700 +

+ 5

6. 798,054 = 700,000 =

+ 8,000 +

+ 4

Write the value of each underlined digit.

7. 645,802

8. 271 ,385

9. $10 ? 2 10. 16 ? 4 11. 9 ? 3 12. 25 ? 5 13. 8 ? 1 14. 36 ? 6

Divide. (Previous Grade) 15. 7 42 16. 5 40 17. 3 21 18. 9 81 19. 7 35 20. 8 32

Grade 4

1

Chapter 1

Name

Date

1?1

Problem-Solving Practice

4NS1.1

Place Value Through Hundred Thousands

Solve.

1. Michael says he has used 42,567 pencils since he started school. Maria wants to be sure she heard the number correctly. Write 42,567 in word form and in expanded form for Maria.

2. Emily and Inez found a treasure map that shows the location of gold coins. They want to show their friends how much gold they can find. Write the number in standard form. 200,000 + 70,000 + 4,000 + 600 + 90 + 3

3. Javier and Nick want to start a dog-walking business after school. They made 1,236 flyers to hand out around their neighborhood. Write the number in word form and in expanded form.

4. Union Township has a population of 172,650. What is the value of the underlined digit?

5. Jan's grandfather was a pilot. He estimates that he has flown 460,500 miles in his life. When Jan told her mother about this, Jan said 406,500 miles. Jan's mother said she should get her numbers right. What mistake did Jan make? How can Jan fix it?

Copyright ? Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Grade 4

2

Chapter 1

Copyright ? Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Chapter Resources

Name

1?2

Homework Practice

Place Value Through Millions

Date

4NS1.1

Write each number in standard form. 1. four hundred thirty-two million, five hundred eighty-six thousand, six hundred twelve. 2. nine hundred fifty-seven million, two hundred four thousand, three hundred eighty-one.

Write each number in word form and expanded form. 3. 103,721,495

4. 682,364,518

Write the value of each underlined digit.

5. 561,754,908

6. 498,749,013

7. 7,020,154

8. 398,216,045

Write the number in standard form. (Lesson 1-1) 9. two hundred forty-three thousand, seven hundred eighteen

10. six hundred ninety-five thousand, eighty-seven

Complete the expanded form.

11. 198,045 = 100,000 + 90,000 +

+ 40 +

12. 982,105 = 900,000 +

+ 2,000 +

+ 5

Grade 4

3

Chapter 1

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