California mathematics grade 3

Authors
Altieri • Balka • Day • Gonsalves • Grace • Krulik
Malloy • Molix-Bailey • Moseley • Mowry • Myren
Price • Reynosa • Santa Cruz • Silbey • Vielhaber


About the Cover
Located in the Piney Woods region of Texas, Tyler is known as the
Rose Capital of America. It is also home to a popular 85-foot, 6-lane,
wooden slot car track. The track is designed for 1:32 and 1:24 scale
cars. You will learn more about ratios in Chapter 6.
About the Graphics
Colored Truchet bands. Created with Mathematica.
A random 2D Truchet image is constructed. The connected arcs of
the image are identified and randomly colored in a band-like
manner. For more information, and for programs to construct such
graphics, see:
www.wolfram.com/r/textbook.

Copyright © 2007 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 permission of the
publisher.
Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027
ISBN-13: 978-0-02-105657-6
ISBN-10: 0-02-105657-9
Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 055/027 15 14 13 12 11 10 09 08 07 06


Start Smart
Chapter 1

Place Value and Number Sense

Chapter 2

Addition

Chapter 3

Subtraction

Chapter 4

Multiplication Concepts and Facts

Chapter 5

More Multiplication Facts

Chapter 6

Division Concepts and Facts

Chapter 7

More Division Facts

Chapter 8

Measurement: Customary System

Chapter 9

Measurement: Metric System

Chapter 10

Measurement and Geometry

Chapter 11

Statistics: Data, Graphs, and Probability

Chapter 12

Fractions

Chapter 13

Fractions and Decimals

Chapter 14

Multiply by One-Digit Numbers

Chapter 15

Divide by One-Digit Numbers

Standards Review
Looking Ahead to Grade 4
iii


Authors

Mary Behr Altieri
Putnam/Northern
Westchester BOCES
Yorktown Heights,
New York

Philip D. Gonsalves
Mathematics Coordinator
Alameda County Office
of Education and
California State
University East Bay
Hayward, California

Ellen C. Grace
Consultant
Albuquerque,
New Mexico

Rhonda J. Molix-Bailey
Mathematics Consultant
Mathematics by Design
Desoto, Texas

iv
Doug Martin Photography

Don S. Balka
Professor Emeritus
Saint Mary’s College
Notre Dame, Indiana

Roger Day, Ph.D.
Mathematics Department Chair
Pontiac Township High School
Pontiac, Illinois

Stephen Krulik
Mathematics Consultant
Cherry Hill, New Jersey

Lois Gordon Moseley
Staff Developer
NUMBERS: Mathematics
Professional
Development
Houston, Texas

Carol E. Malloy

Assistant Professor of
Mathematics Education
University of North
Carolina at Chapel Hill
Chapel Hill, North
Carolina

Brian Mowry
Independent Math Educational
Consultant/Part time Pre-K
Instructional Specialist
Austin Independent School District
Austin, Texas
Meet the Authors at ca.gr3math.com


Christina L. Myren
Consultant Teacher
Conejo Valley Unified
School District
Thousand Oaks, California

Jack Price
Professor Emeritus
California State
Polytechnic University
Pomona, California

Mary Esther Reynosa
Instructional Specialist for

Elementary Mathematics
Northside Independent
School District
San Antonio, Texas

Rafaela M. Santa Cruz
SDSU/CGU Doctoral
Program in Education
San Diego State University
San Diego, California

Robyn Silbey
Math Content Coach
Montgomery County
Public Schools
Gaithersburg, Maryland

Kathleen Vielhaber
Mathematics Consultant
St. Louis, Missouri

Contributing Authors

Viken Hovsepian
Professor of Mathematics
Rio Hondo College
Whittier, California

Donna J. Long
Mathematics, Consultant

Indianapolis, Indiana

Dinah Zike
Educational Consultant
Dinah-Might Activities, Inc.
San Antonio, Texas

v
Doug Martin Photography


California Mathematics Advisory Board
Glencoe wishes to thank the following professionals for their invaluable
feedback during the development of the program. They reviewed the
table of contents, the prototype of the Teacher Wraparound Edition,
and the California Standards Review chapter.

Cheryl L. Avalos
Mathematics Consultant
Retired Teacher
Hacienda Heights, California

William M. Bokesch
Rancho Bernardo High
School
San Diego, California

Patty Brown
Teacher
John Muir Elementary

Fresno, California

David J. Chamberlain
Secondary Mathematics
Resource Teacher
Capistrano Unified School
District
San Juan Capistrano, California

Eppie Chung
K-6 Teacher
Modesto City Schools
Modesto, California

Lisa Marie Cirrincione
Middle School Teacher
Lincoln Middle School
Oceanside, California

Carol Cronk
Mathematics Program
Specialist
San Bernardino City Unified
School District
San Bernardino, California

Ilene Foster
Teacher Specialist–
Mathematics
Pomona Unified School

District
Pomona, California

Grant A. Fraser, Ph. D.
Professor of Mathematics
California State University,
Los Angeles
Los Angeles, California

vi
File Photo


Suzanne Bocskai Freire
Teacher
Kingswood Elementary
Citrus Heights, California

Beth Holguin
Teacher
Graystone Elementary
San Jose, California

Donna M. Kopenski, Ed. D.
Mathematics Coordinator K-5
City Heights Educational
Collaborative
San Diego, California

Kelly Mack

6th Grade Teacher
Captain Jason Dahl
Elementary
San Jose, California

Juvenal Martinez
Dual Immersion/ESL
Instructor
Aeolian Elementary
Whittier, California

John McGuire
Associate Principal
Pacific Union School
Arcata, California

Dr. Donald R. Price
Teacher, Adjunct Professor
Rowland Unified School
District
Rowland Heights, California

Kasey St. James
Mathematics Teacher
Sunny Hills High School
Fullerton, California

Arthur K. Wayman, Ph. D.
Professor of Mathematics
Emeritus

California State University,
Long Beach
Long Beach, California

Beverly Wells
First Grade Teacher
Mineral King Elementary
School
Visalia, California

Frances Basich Whitney
Project Director, Mathematics
K-12
Santa Cruz County Office of
Education
Capitola, California

vii
File Photo


Consultants
Macmillan/McGraw-Hill wishes to thank the following professionals
for their feedback. They were instrumental in providing valuable input
toward the development of this program in these specific areas.

Mathematical Content

Family Involvement

Viken Hovsepian
Professor of Mathematics
Rio Hondo College
Whittier, California
Grant A. Fraser, Ph.D.
Professor of Mathematics
California State University, Los Angeles
Los Angeles, California
Arthur K. Wayman, Ph.D.
Professor of Mathematics Emeritus
California State University, Long Beach
Long Beach, California

Paul Giganti, Jr.
Mathematics Education Consultant
Albany, California

Assessment
Jane D. Gawronski
Director of Assessment and Outreach
San Diego State University
San Diego, California

Cognitive Guided Instruction
Susan B. Empson
Associate Professor of Mathematics
and Science Education
University of Texas at Austin
Austin, Texas

English Learners
Cheryl Avalos
Mathematics Consultant
Los Angeles County Office of Education, Retired
Hacienda Heights, California
Kathryn Heinze
Graduate School of Education
Hamline University
St. Paul, Minnesota

viii

Literature
David M. Schwartz
Children’s Author, Speaker, Storyteller
Oakland, Califorinia

Vertical Alignment
Berchie Holliday
National Educational Consultant
Silver Spring, Maryland
Deborah A. Hutchens, Ed.D.
Principal
Norfolk Highlands Elementary
Chesapeake, Virginia


California Reviewers
Each California Reviewer reviewed at least two chapters of the
Student Edition, giving feedback and suggestions for improving

the effectiveness of the mathematics instruction.

Sherry G. Anderson
Teacher/G.A.T.E. Coordinator
Will Rogers Elementary
Lynwood, California

Kristi Iverson
First Grade Teacher
Village Oaks Elementary
Stockton, California

Deborah Shapiro
5th Grade Teacher
Nancy Cory
Lancaster, California

Ysaaca Axelrod
Kindergarten Teacher
El Monte Elementary
Concord, California

Sheri Leiken
Teacher
Weathersfield Elementary
Thousand Oaks, California

Cathy Bullock
Teacher
Capri Elementary

Encinitas, California

Sarab H. Lopes
Teacher
Anza Elementary
El Cajon, California

Maureen Smith
Curriculum Specialist
Fremont Unified School Dist.
(retired 6/2006)
Fremont, California

Michelle Callender
Teacher
Morgan/Kincaid Preparatory School
of Integrated Studies
Victorville, California

Karen E. Lund
5th Grade Teacher
Meadow Park Elementary
Irvine, California

M. Olivia Campos
4th Grade Teacher
Morrison Elementary
Norwalk, California
Malaura Page Easton, M.S.
Kindergarten Teacher

La Pluma School
La Mirada, California
Priscilla S. Edwards
5th Grade Classroom Teacher
David Reese Elementary
Sacramento, California
Lisa B. Friedberg
4th Grade Teacher
Alderwood Basics Plus School
Irvine, California
Wendy Smith Hernandez
Kindergarten Teacher
Herndon-Barstow Elementary
Fresno, California
Beth Holguin
Teacher
Graystone School
San Jose, CA

Efrain Melendez
Teacher
Livermore Valley USD
Livermore, California
Jean A. Nelson
Teacher
Fremont Elementary School
Alhambra, California
Tara Pahia
Elementary Teacher
Bear Gulch Elementary

Rancho Cucamonga, California
Dr. Donald R. Price
Teacher, Adjunct Professor
Rowland Unified School District
Rowland Heights, California
Kitty Ritz, M.A.
Teacher
Monte Vista Elementary
Rohnert Park, California
Corinne E. Schwartz
First Grade Teacher
Lincrest Elementary School
Yuba City, CA

Joseph M. Snodgrass
3rd Grade Teacher
Park Elementary School
Alhambra, California
Marie W. Stevens
Elementary Mathematics
Coordinator
LAUSD
Los Angeles, California
Jane Traut
Classroom Teacher
Lang Ranch Elementary School
Thousand Oaks, California
Rachel C. Trowbridge
Teacher
Evergreen Elementary

San Jose, California
Cynthia H. Vandemoortel
Educator
Alderwood Basics Plus School
Irvine, California
Norine Yale
Teacher
Justin Elementary
Simi Valley, California
Dr. Darlene York
Education Consultant
Associate Professor/Antioch
University
Seattle, Washington

ix


Problem Solving: The Great Giants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Number Sense: Now That’s Hot! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Algebra and Functions: At the Aquarium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Measurement: Measure Away . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Geometry: Food and Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10
Statistics, Data Analysis, and Probability:
How Fast Can You Go? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12

3, 5, 7, 9, 11, 13

x
Arthur Morris/CORBIS

CH

APTER

1

Place Value and
Number Sense

Are You Ready for Chapter 1? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .16
1-1

Number Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17

1-2

Problem-Solving Skill: Use the Four-Step Plan

Explore

. . . . . . . . . . . . . . . . . . . . . . . . . .20

Math Activity for 1-3: Place Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .22

1-3

Place Value through 1,000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24

1-4

Place Value through 10,000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .28
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31

1-5

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . . .32

1-6

Compare Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .34

1-7

Order Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38

Problem Solving in Geography: The Mighty Mississippi
1-8

. . . . . . . . . . . . . . . . . . .42

Round to the Nearest Ten and Hundred . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44
Game Time: Round Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .47

1-9

Round to the Nearest Thousand . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .48
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .52

Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .59
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .60

California Standards Practice
• 27, 31, 37, 41, 51, 59, 60, 61

Higher Order Thinking
19, 27, 30, 37, 41, 46, 51
19, 21, 23, 27, 30, 31, 33, 37, 41, 46,
51, 59

xi


CH

APTER

2

Addition

Are You Ready for Chapter 2? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .64
2-1

Addition Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .65

2-2

Problem-Solving Skill: Estimate or Exact Answer

2-3

Estimate Sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .70

2-4

Two-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .74

. . . . . . . . . . . . . . . . . . . . . . . .68

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .77
2-5

Add Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .78

Problem Solving in Geography: A Walk in the Park
2-6

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . . .84

Explore

2-7

. . . . . . . . . . . . . . . . . . . . . . .82

Math Activity for 2-7: Add Three-Digit Numbers . . . . . . . . . . . . . . . . . . .86

Three-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .88

Game Time: How Low Can You Go? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .91

2-8

Add Greater Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .92
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .96
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102

California Standards Practice
• 73, 77, 81, 95, 101, 102, 103

Higher Order Thinking
67, 73, 76, 81, 90, 95
67, 69, 73, 76, 77, 81, 85, 87, 95, 101

xii
CORBIS


CH

APTER

3

Subtraction

Are You Ready for Chapter 3? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106

3-1

Two-Digit Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107

3-2

Estimate Differences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110

3-3

Subtract Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117

Problem Solving in Music: The Sounds of the Symphony . . . . . . . . . . . . . . 118
3-4

Problem-Solving Skill: Reasonable Answers

. . . . . . . . . . . . . . . . . . . . . . . . . . . 120

Explore

Math Activity for 3-5:
Subtract Three-Digit Numbers with Regrouping . . . . . . . . . . . . . . . . . . . . . . . . . 122

3-5

Three-Digit Subtraction with Regrouping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124

3-6

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 128

3-7

Subtract Greater Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
Game Time: Do Not Zero Out . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133

3-8

Subtract Across Zeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134

3-9

Algebra: Expressions and Number Sentences

. . . . . . . . . . . . . . . . . . . . . . . 138

ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150

California Standards Practice
• 113, 117, 127, 137, 141, 149, 150, 151

Higher Order Thinking
113, 116, 127, 137, 141
109, 113, 116, 117, 121, 123, 127,
129, 132, 137, 141, 149

xiii


CH

APTER

4

Multiplication
Concepts and Facts

Are You Ready for Chapter 4? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154
Explore

Math Activity for 4-1: Meaning of Multiplication . . . . . . . . . . . . . . . . . 155

4-1

Multiplication as Repeated Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157

4-2

Arrays and Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160

4-3

Multiply by 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164
Mid-Chapter Check. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167

4-4

Multiply by 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
Game Time: Factor Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171

4-5

Problem-Solving Skill: Extra or Missing Information

. . . . . . . . . . . . . . . . . . . 172

4-6

Multiply by 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174
Facts Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177

4-7

Multiply by 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178

Problem Solving in Science: Lots of Arms and Legs . . . . . . . . . . . . . . . . . . . . 182
4-8

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 184

4-9

Multiply by 0 and 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 186
Facts Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189

ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196

California Standards Practice
• 163, 137, 181, 188, 195, 196, 197

Higher Order Thinking
159, 163, 166, 170, 176, 181, 188
156, 159, 163, 166, 167, 170, 176,
181, 185, 188, 195

xiv
Ellen McKnight/Alamy Images


CH

APTER

5

More Multiplication
Facts

Are You Ready for Chapter 5? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 200
Explore

Math Activity for 5-1: Multiplication Table . . . . . . . . . . . . . . . . . . . . . . . . 201

5-1

Multiply by 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203

5-2

Multiply by 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206
Facts Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210
Game Time: Three in a Row . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211

5-3

Problem-Solving Strategy: Look for a Pattern

. . . . . . . . . . . . . . . . . . . . . . . . . . 212

5-4

Multiply by 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217

5-5

Multiply by 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 218

5-6

Multiply by 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222
Facts Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225

5-7

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 226

5-8

Algebra: Associative Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228
Problem Solving in Art: Not Just a Blanket

5-9

Algebra: Find a Rule

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234

ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246

California Standards Practice
• 209, 217, 221, 231, 237, 245, 246, 247

Higher Order Thinking
205, 208, 216, 221, 224, 231, 237
202, 205, 208, 213, 216, 217, 221,
224, 227, 231, 237, 245

xv


CH

APTER

6

Division Concepts
and Facts

Are You Ready for Chapter 6? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250
Explore

6-1

Math Activity for 6-1: Understand Division . . . . . . . . . . . . . . . . . . . . . . . 251

Relate Division and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253

Explore

Math Activity for 6-2: Relate Multiplication to Division . . . . . . . . . . . 256

6-2

Relate Multiplication to Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 258

6-3

Problem-Solving Skill: Choose an Operation

6-4

Divide by 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 264

. . . . . . . . . . . . . . . . . . . . . . . . . . 262

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 267
6-5

Divide by 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268

Problem Solving in Community: Communities within
Communities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 272
6-6

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 274

6-7

Divide by 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 276
Game Time: Number Cubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279

6-8

Division Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280
ASSESSMENT

Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 282
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288

California Standards Practice
• 261, 267, 271, 278, 287, 288, 289

Higher Order Thinking
255, 261, 266, 271, 277, 281
252, 255, 257, 261, 263, 266, 267,
271, 275, 277, 281, 287

xvi
Jim West/The Image Works


CH

APTER

7

More Division Facts

Are You Ready for Chapter 7? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292
Explore

Math Activity for 7-1: Divide Using a Multiplication Table . . . . . . . . 293

7-1

Divide by 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295

7-2

Divide by 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 298

7-3

Problem-Solving Strategy: Make a Table

7-4

Divide by 6 and 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302

Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307

Problem Solving in Civics: Stars and Stripes
7-5

. . . . . . . . . . . . . . . . . . . . . . . . . . . 308

Divide by 8 and 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310
Game Time: Facts Roll . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313

7-6

Determine Unit Cost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314

7-7

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 318

7-8

Algebra: Expressions and Equations

7-9

Algebra: Translate Words to Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320

ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 328
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 336

California Standards Practice
• 301, 307, 317, 323, 327, 335, 336, 337

Higher Order Thinking
297, 301, 306, 312, 317, 323, 327
294, 297, 301, 303, 306, 307, 312,
317, 319, 323, 327

xvii

CH

APTER

Measurement:
Customary System

8

Are You Ready for Chapter 8? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 340
Explore

Measurement Activity for 8-1: Length to the Nearest Inch . . . . . . 341

8-1

Length to the Nearest Half Inch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343

8-2

Customary Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 346

8-3

Problem-Solving Strategy: Work Backward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350

Explore

8-4

Measurement Activity for 8-4: Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . 352

Customary Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354
Game Time: Capacity Guess . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 358
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359

8-5

Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 360

8-6

Customary Units of Weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362

Problem Solving in Science: Lengths, Heights, and
Weights, Oh My! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 366
8-7

Convert Units of Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 368
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 372
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 377
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378

California Standards Practice
• 349, 357, 359, 365, 371, 377, 378, 379

Higher Order Thinking
345, 349, 357, 365, 371

342, 345, 349, 351, 353, 357, 359,
361, 365, 371, 377

xviii


CH

APTER

9

Measurement:
Metric System

Are You Ready for Chapter 9? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382
Explore

9-1

Measurement Activity for 9-1: Millimeter and Centimeter . . . . . . . 383

Metric Units of Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385
Game Time: Hit the Target . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389

9-2

Problem-Solving Strategy: Guess and Check

. . . . . . . . . . . . . . . . . . . . . . . . . . . 390

9-3

Metric Units of Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392
Mid-Chapter Check. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 395

9-4

Problem-Solving Ivestigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . . 396

9-5

Metric Units of Mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398

Problem Solving in Science: A Visit to the Supermarket
9-6

. . . . . . . . . . . . . . . 402

Metric Unit Conversions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 404
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 408
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 414

California Standards Practice
• 388, 395, 401, 407, 413, 414, 415

Higher Order Thinking
388, 394, 401, 407

384, 388, 391, 394, 395, 397, 401,
407, 413

xix
John Cancalosi/Peter Arnold, Inc.


CH

APTER

10

Measurement
and Geometry

Are You Ready for Chapter 10? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 418
10-1 Geometry: Polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419
10-2 Measurement: Perimeter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 422
Explore

Measurement Activity for 10-3: Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 426

10-3 Measurement: Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 428
10-4 Problem-Solving Strategy: Solve a Simpler Problem . . . . . . . . . . . . . . . . . . . 432
10-5 Triangles and Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 434
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 437
10-6 Geometry: Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 438
10-7 Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 442
10-8 Geometry: Solid Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 444

Game Time: Guess the Shape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447
10-9 Complex Solid Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 448

Problem Solving in Art: Gardens Under Glass
Explore

. . . . . . . . . . . . . . . . . . . . . . . . . . 450

Measurement Activity for 10-10: Volume . . . . . . . . . . . . . . . . . . . . . . . 452

10-10 Measurement: Find Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 454
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 458
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 466

California Standards Practice
• 425, 431, 437, 441, 446, 457, 465, 466, 467

Higher Order Thinking
421, 425, 430, 436, 441, 446, 449, 457
421, 425, 427, 430, 433, 436, 437,
441, 443, 446, 449, 453, 457, 465

xx
PETE OXFORD/Minden Pictures


CH

APTER

11

Statistics: Data, Graphs,
and Probability

Are You Ready for Chapter 11? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 470
Explore

Graphing Activity for 11-1: Make a Bar Graph . . . . . . . . . . . . . . . . . . . . 471

11-1 Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 473
11-2 Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 476
11-3 Problem-Solving Strategy: Make an Organized List . . . . . . . . . . . . . . . . . . . . 480
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 482
Game Time: Catch Me if You Can! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 483
11-4 Identify Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 484

Problem Solving in Science: Eggs!

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 488

11-5 Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 490
Explore

Probability Activity for 11-6: Outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . 492

11-6 Make Predictions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 494
ASSESSMENT

Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 498
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 503
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 504

California Standards Practice
• 479, 482, 487, 497, 503, 504, 505

Higher Order Thinking
475, 478, 487, 497
472, 475, 478, 481, 487, 491, 493,
497, 503

xxi


CH

APTER

12

Fractions

Are You Ready for Chapter 12? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 508
12-1 Parts of a Whole . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 509
12-2 Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 512
Explore

Math Activity for 12-3: Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . 514

12-3 Find Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 516
Game Time: Fraction Concentration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519
12-4 Problem-Solving Strategy: Draw a Picture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 520
12-5 Compare Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 522
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 525
Explore

Math Activity for 12-6: Add Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . 526

12-6 Add Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 528

Problem Solving in Science: The Buzz on Insects
Explore

. . . . . . . . . . . . . . . . . . . . . . 532

Math Activity for 12-7: Subtract Like Fractions . . . . . . . . . . . . . . . . . . . 534

12-7 Subtract Like Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 536
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 540
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 546

California Standards Practice
• 518, 525, 531, 539, 545, 546, 547

Higher Order Thinking
511, 518, 524, 531, 538
511, 513, 515, 518, 521, 524, 525,

527, 531, 535, 538, 545

xxii
CORBIS


CH

APTER

13

Fractions and Decimals

Are You Ready for Chapter 13? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 550
Explore

Math Activity for 13-1: Fractions and Decimals . . . . . . . . . . . . . . . . . . . 551

13-1 Tenths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 553
Game Time: Fractoes and Decimoes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 557
13-2 Hundredths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 558
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 561

Problem Solving in Science: Continents

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562

13-3 Problem-Solving Strategy: Act It Out . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 564
Explore

Math Activity for 13-4: Fractions, Decimals, and Money . . . . . . . . . 566

13-4 Decimals and Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 568
13-5 Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 572
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 579
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 580

California Standards Practice
• 556, 561, 571, 579, 580, 581

Higher Order Thinking
556, 560, 571
552, 556, 560, 561, 565, 567, 571,
573, 579

xxiii


CH

APTER

14

Multiply by One-Digit
Numbers

Are You Ready for Chapter 14? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 584
14-1 Multiply Multiples of 10, 100, and 1,000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 585
14-2 Problem-Solving Strategy: Use Logical Reasoning . . . . . . . . . . . . . . . . . . . . . 588
14-3 Estimate Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 590
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593
14-4 Multiply by a One-Digit Number . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594
14-5 Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 598
Explore

Math Activity for 14-6: Multiplication with Rerouping . . . . . . . . . . . . 600

14-6 Multiply Two-Digit Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 602
14-7 Multiply Greater Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 606
Game Time: High and Low . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609
14-8 Multiply Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 610

Problem Solving in Art: Stamp Collecting

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 614

ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 616
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 622

California Standards Practice
• 593, 597, 605, 613, 621, 622, 623

Higher Order Thinking
587, 592, 597, 605, 608, 613

587, 589, 592, 593, 597, 599, 601,
605, 608, 613, 621

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Bill Ross/CORBIS


CH

APTER

15

Divide by One-Digit
Numbers

Are You Ready for Chapter 15? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 626
15-1 Divide Multiples of 10, 100, and 1,000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 627
15-2 Estimate Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 630
Explore

Math Activity for 15-3: Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 634

15-3 Two-Digit Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 636
Mid-Chapter Check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 639
15-4 Problem-Solving Strategy: Work Backward . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 640
15-5 Three-Digit Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 642
Game Time: That’s Close! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 645

Problem Solving in Science: Roller Coaster Physics

. . . . . . . . . . . . . . . . . . . . 646

15-6 Problem-Solving Investigation: Choose a Strategy . . . . . . . . . . . . . . . . . . . . . . 648
15-7 Divide Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 650
ASSESSMENT
Study Guide and Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 654
Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 659
California Standards Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 660

California Standards Practice
• 633, 639, 653, 659, 660, 661

Higher Order Thinking
629, 633, 638, 644, 653
629, 633, 635, 638, 639, 641, 644,
649, 653, 659

xxv