go math grade 3 homework book pdf

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Go Math! Grade 3 Student Edition

Description: Go Math! Grade 3 Student Edition

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© Houghton Mifflin Harcourt Publishing Company Currency and Coins Photos Courtesy of United States Mint, Bureau of Engraving, and Houghton Mifflin Harcourt Copyright © by Houghton Mifflin Harcourt Publishing Company All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without the prior written permission of the copyright owner unless such copying is expressly permitted by federal copyright law. Requests for permission to make copies of any part of the work should be submitted through our Permissions website at https://customercare.hmhco.com/contactus/Permissions. html or mailed to Houghton Mifflin Harcourt Publishing Company, Attn: K-12 School Permissions, 9400 Southpark Center Loop, Orlando, Florida 32819-8647. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. This product is not sponsored or endorsed by the Common Core State Standards Initiative of the National Governors Association Center for Best Practices and the Council of Chief State School Officers. Printed in the U.S.A. ISBN 978-0-358-69472-4 1 2 3 4 5 6 7 8 9 10 XXXX 30 29 28 27 26 25 24 23 22 21 4500000000 r11.21 If you have received these materials as examination copies free of charge, Houghton Mifflin Harcourt Publishing Company retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited. Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format.

iii © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©HMH Dear Students and Families, Welcome to Go Math! In this program, you will develop skills and make sense of mathematics by solving real-world problems, using hands-on tools and strategies, and collaborating with your classmates. With the support of your teacher and by engaging with meaningful practice, you will learn to persevere when solving problems. Go Math! will not only help you deepen your understanding of mathematics, but also build your confidence as a learner of mathematics. Even more exciting, you will write all your ideas and solutions right in your book. In your Go Math! book, writing and drawing on the pages will help you think deeply about what you are learning, help you truly understand math, and most important, help you become a confident user of mathematics! Sincerely, The Authors

iv © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©Iuliia Sokolovska/Adobe Stock Launch Activity 1 Strategies for Adding and Subtracting . . . . . 3 CHAPTER 1 Addition and Subtraction Strategies Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Lesson 1 Identify Number Patterns on the Addition Table . . . . . . . . 7 Lesson 2 Round to the Nearest Ten or Hundred . . . . . . . . . . . . . . . . 13 Lesson 3 Estimate Sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Lesson 4 Use Strategies for Addition . . . . . . . . . . . . . . . . . . . . . . . . . 25 Lesson 5 Use Properties to Add . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Lesson 6 Estimate Differences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Lesson 7 Use Strategies for Subtraction . . . . . . . . . . . . . . . . . . . . . . . 43 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 VOLUME 1

v © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©Lori Swadley/Adobe Stock Launch Activity 2 Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 CHAPTER 2 Understand Multiplication Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Lesson 1 Count Equal Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Lesson 2 Relate Addition and Multiplication . . . . . . . . . . . . . . . . . . 65 Lesson 3 Represent Multiplication with Number Lines . . . . . . . . . . 71 Lesson 4 Represent Multiplication with Bar Models . . . . . . . . . . . . . 77 Lesson 5 Represent Multiplication with Arrays . . . . . . . . . . . . . . . . . 83 Lesson 6 Understand the Commutative Property of Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 Lesson 7 Understand the Identity and Zero Properties of Multiplication . . . . . . . . . . . . . . . . . . . . 95 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 v

vi © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©DigitalVision/Ariel Skelley/Getty Images CHAPTER 3 Multiplication Facts and Strategies Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 Lesson 1 Multiply with 2 and 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 Lesson 2 Multiply with 5 and 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Lesson 3 Multiply with 3 and 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Lesson 4 Understand the Distributive Property . . . . . . . . . . . . . . . . 127 Lesson 5 Multiply with 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 Lesson 6 Understand the Associative Property of Multiplication . 139 Lesson 7 Patterns on the Multiplication Table . . . . . . . . . . . . . . . . 145 Lesson 8 Multiply with 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151 Lesson 9 Multiply with 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 Lesson 10 Multiply with 11 and 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169

vii © Houghton Mifflin Harcourt Publishing Company CHAPTER 4 Multiplication with Multiples of 10 and 100 Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 Lesson 1 Use the Distributive Property . . . . . . . . . . . . . . . . . . . . . . . 177 Lesson 2 Use Place-Value Strategies to Multiply with Multiples of 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 Lesson 3 Multiply Multiples of 10 by 1-Digit Numbers . . . . . . . . . 189 Lesson 4 Multiply Multiples of 100 by 1-Digit Numbers . . . . . . . . 195 Lesson 5 Use the Distributive Property to Multiply a 2-Digit Number and a 1-Digit Number . . . . . . . . . . . . . 201 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207 CHAPTER 5 Understand Division Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214 Lesson 1 Represent Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Lesson 2 Find the Size of Equal Groups . . . . . . . . . . . . . . . . . . . . . . 221 Lesson 3 Find the Number of Equal Groups . . . . . . . . . . . . . . . . . . 227 Lesson 4 Represent Division with Bar Models . . . . . . . . . . . . . . . . . 233 Lesson 5 Relate Subtraction and Division . . . . . . . . . . . . . . . . . . . . 239 Lesson 6 Represent Division with Arrays . . . . . . . . . . . . . . . . . . . . . 245 Lesson 7 Relate Multiplication and Division . . . . . . . . . . . . . . . . . . 251 Lesson 8 Write Related Facts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 Lesson 9 Apply Division Rules for 1 and 0 . . . . . . . . . . . . . . . . . . . . 263 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269

viii CHAPTER 6 Division Facts and Strategies Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 276 Lesson 1 Divide by 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 Lesson 2 Divide by 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 Lesson 3 Divide by 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289 Lesson 4 Divide by 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295 Lesson 5 Divide by 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301 Lesson 6 Divide by 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307 Lesson 7 Divide by 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 Lesson 8 Divide by 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319 Lesson 9 Divide by 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 Lesson 10 Divide by 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331 Lesson 11 Divide by 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©HM

ix CHAPTER 7 Apply Multiplication and Division Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 350 Lesson 1 Multiplication Comparisons . . . . . . . . . . . . . . . . . . . . . . . . 351 Lesson 2 Identify, Create and Extend Patterns . . . . . . . . . . . . . . . . 357 Lesson 3 Determine Multiples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363 Lesson 4 Determine Even or Odd Using Divisibility Rules . . . . . . . 369 Lesson 5 Find Unknown Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . 375 Lesson 6 Solve Two-Step Multiplication Problems . . . . . . . . . . . . . 381 Lesson 7 Solve Two-Step Division Problems . . . . . . . . . . . . . . . . . . . 387 Lesson 8 Solve Two-Step Word Problems with the Four Operations . . . . . . . . . . . . . . . . . . . . . . . . . . 387 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393 © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©Alexander Raths/Shutterstock

x CHAPTER 8 Relate Multiplication and Area Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 399 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400 Lesson 1 Understand Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401 Lesson 2 Measure Area by Counting Unit Squares . . . . . . . . . . . . . 407 Lesson 3 Relate Area to Addition and Multiplication . . . . . . . . . . 413 Lesson 4 Solve Problems with Area . . . . . . . . . . . . . . . . . . . . . . . . . 419 Lesson 5 Find Area of Combined Rectangles . . . . . . . . . . . . . . . . . . 425 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 431 CHAPTER 9 Understand Perimeter Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 437 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 438 Lesson 1 Model Perimeter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 439 Lesson 2 Find Perimeter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 445 Lesson 3 Use a Formula to Find Perimeter . . . . . . . . . . . . . . . . . . . . 451 Lesson 4 Same Perimeter, Different Areas . . . . . . . . . . . . . . . . . . . . 457 Lesson 5 Same Area, Different Perimeters . . . . . . . . . . . . . . . . . . . . 463 Lesson 6 Find Unknown Measures . . . . . . . . . . . . . . . . . . . . . . . . . . 469 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 475 © Houghton Mifflin Harcourt Publishing Company • Image Credit: HMH VOLUME 2

xi © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©Gene Blevins/ZUMAPRESS.com/Alamy CHAPTER 10 Time Measurement and Intervals Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 482 Lesson 1 Tell and Write Time to the Minute . . . . . . . . . . . . . . . . . . 483 Lesson 2 A.M. and P.M. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489 Lesson 3 Measure Time Intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 495 Lesson 4 Find Start and End Times . . . . . . . . . . . . . . . . . . . . . . . . . . 501 Lesson 5 Solve Time Interval Problems . . . . . . . . . . . . . . . . . . . . . . . 507 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 513 Launch Activity 3 Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519 CHAPTER 11 Understand Fractions as Numbers Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 521 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 522 Lesson 1 Describe Equal Parts of a Whole . . . . . . . . . . . . . . . . . . . . 523 Lesson 2 Represent and Name Unit Fractions . . . . . . . . . . . . . . . . . 529 Lesson 3 Represent and Name Fractions of a Whole . . . . . . . . . . . 535 Lesson 4 Represent and Name Fractions on a Number Line . . . . . 541 Lesson 5 Write Fractions as Sums of Unit Fractions . . . . . . . . . . . . 547 Lesson 6 Represent Numbers Greater Than One as Fractions . . . . 553 Lesson 7 Represent and Name Fractions of a Set . . . . . . . . . . . . . . 559 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 565

xii © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©HMH CHAPTER 12 Compare Fractions and Identify Equivalent Fractions Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 571 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 572 Lesson 1 Compare Fractions Using Visual Models . . . . . . . . . . . . . . 573 Lesson 2 Compare Fractions with the Same Denominator . . . . . . 579 Lesson 3 Compare Fractions with the Same Numerator . . . . . . . . 585 Lesson 4 Use Reasoning to Compare Fractions . . . . . . . . . . . . . . . . 591 Lesson 5 Compare and Order Fractions . . . . . . . . . . . . . . . . . . . . . . 597 Lesson 6 Model Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . 603 Lesson 7 Identify Equivalent Fractions with Models . . . . . . . . . . . . 609 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 615

xiii © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©Sonsedska Yuliia/Shutterstock CHAPTER 13 Measurement Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 621 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 622 Lesson 1 Use Fractions to Measure Length . . . . . . . . . . . . . . . . . . . 623 Lesson 2 Estimate and Measure Customary Units for Capacity . . . 629 Lesson 3 Estimate and Measure Metric Units for Liquid Volume . 635 Lesson 4 Estimate and Measure Customary Units for Weight . . . . 641 Lesson 5 Estimate and Measure Metric Units for Mass . . . . . . . . . 647 Lesson 6 Estimate and Measure Temperature . . . . . . . . . . . . . . . . . 653 Lesson 7 Solve Measurement Problems . . . . . . . . . . . . . . . . . . . . . . 659 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 665

xiv © Houghton Mifflin Harcourt Publishing Company • Image Credit: ©WavebreakmediaMicro/Adobe Stock Launch Activity 4 Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 671 CHAPTER 14 Define Two-Dimensional Shapes Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 673 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 674 Lesson 1 Explore Lines, Rays, and Angles . . . . . . . . . . . . . . . . . . . . . 675 Lesson 2 Describe Angles in Shapes . . . . . . . . . . . . . . . . . . . . . . . . . 681 Lesson 3 Describe Sides of Shapes . . . . . . . . . . . . . . . . . . . . . . . . . . 687 Lesson 4 Define Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 693 Lesson 5 Draw Quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 699 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 705

xv © Houghton Mifflin Harcourt Publishing Company CHAPTER 15 Represent and Interpret Data Show What You Know . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 711 Vocabulary Builder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 712 Lesson 1 Organize Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 713 Lesson 2 Use Picture Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 719 Lesson 3 Make Picture Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 725 Lesson 4 Use Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 731 Lesson 5 Make Bar Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 737 Lesson 6 Use and Make Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . 743 Lesson 7 Use Circle Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 749 Lesson 8 Solve One- and Two-Step Problems Using Data . . . . . . . 755 Chapter Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 761

xvi © Houghton Mifflin Harcourt Publishing Company • Image Credit: (©Lisa Stokes/Flickr/Getty Images

Launch Activity 1 Three Reads First, listen to the problem. What is the math story about? Next, read the problem aloud with your class. How might numbers be used? Then, read the problem with a partner. What math questions can you ask about the problem? Alexi and his friends Stefon and Avi are inventing a new math game. They want to practice addition and subtraction with 2- or 3- digit numbers. Their game can use number cubes, number cards, spinners, or a combination of any of those objects. Ancient Games • The first board game, Senet, was invented over 5,500 years ago in Egypt. • Checkers is also one of the world’s oldest games. Game boards that are 5,000 years old have been found in Iraq. Not Bored with Board Games! Do you like board games? Do you think you could invent a game? Most board games use math. You roll a number cube to move a game piece forward. You collect objects until you have a certain number of them. You win the game by having the most points. Using your imagination, you can invent a game about almost anything! What type of game would you invent? Launch Activity STRATEGIES FOR Adding and Subtracting Launch Activity • Strategies for Adding and Subtracting 3 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©Comstock/Getty Images

For the interactive lesson Go Online Discuss with a partner or in a group. Compare different games that students made. Which game do you like the best? Which one would help you best practice addition and subtraction? Explain why. Now, read the question the problem asks. Make a plan to solve the problem. Alexi and his friends Stefon and Avi are inventing a new math game. They want to practice addition and subtraction with 2- or 3- digit numbers. Their game can use number cubes, number cards, spinners, or a combination of any of those objects. What game would you invent to practice your addition and subtraction skills? Write, model, or draw to solve the problem. Describe how a player can win the game you made. Math Talk 2 3 1 4 5 6 6 3 2 4 Go Math! Grade 3 © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©HMH

_9 9. 8 _ − 5 10. 11 −_2 11. 10 −_6 12. 18 −_9 13. 15 −_7 © Houghton Mifflin Harcourt Publishing Company

Vocabulary Builder Go Online For more help 6 Go Math! Grade 3 Connect to Vocabulary Review Words ✓ add Commutative Property of Addition ✓ difference even ✓ hundreds odd ✓ ones ✓ regroup ✓ subtract ✓ sum ✓ tens Preview Words Associative Property of Addition compatible numbers estimate Identity Property of Addition pattern round rule Visualize It Sort the review words with a ✓ into the Venn diagram. Understand Vocabulary Complete the sentences by using preview words. 1. A number close to an exact number is called an ______. 2. You can ______ a number to the nearest ten or hundred to find a number that tells about how much or about how many. 3. ______ are numbers that are easy to compute mentally. 4. The ______ states that you can group addends in different ways and get the same sum. Addition Words Subtraction Words © Houghton Mifflin Harcourt Publishing Company

0 = 7 Math Talk Look for and make use of structure. What other patterns can you find in the addition table? MP

0. Then write the name of the property that you used to find the sum. 9. Lola created the pattern below. Write a rule for this pattern. Then write the sixth number. 76, 77, 79, 82, 86, _ Math Talk Look for and express regularity in repeated reasoning. Why might there be more than one answer to Problem 3? MP

6 I can circle pairs of tiles with no tiles left over. So, the sum is even. The sum of an odd number and an odd number is odd. The sum of an even number and an even number is even.

7 __ 10. Ada writes two patterns. 24, 27, _, 33, 36 50, 42, 34, _, 18 Maria creates a pattern. The first number of Maria’s pattern is the difference between the missing numbers in Ada’s first and second patterns. What is the first number of Maria’s pattern? 11. Verlin says he has an odd number of model cars. He has 6 cars on one shelf and 8 cars on another shelf. Is Verlin correct? Explain. 12. Write Math Write the definition of the Identity Property of Addition. Use the addition table to provide examples. Is the sum even or odd? Write even or odd.

7 6 5 4 3 2 1 0 Juan Bob Maria Alicia Students Books Read Number of Books Read 12 Go Math! Grade 3 © Houghton Mifflin Harcourt Publishing Company Spiral Review Lesson Check 17. Who read the most books? 18. Who read 3 more books than Bob? 15. Zachriel has 2 quarters, 1 dime, and 3 pennies. How much money does Zachriel have? 16. Oria estimates the height of his desk. What is a reasonable estimate? 13. Marvella adds an odd number to an even number. Is the sum even or odd? 14. Write the rule. Then write the fourth number in the pattern. 17, 14, 11, _, 5, 2 Rule: Use the bar graph for problems 17–18.

0 10 20 30 40 32 0 100 200 300 174 UNLOCK the Problem World Real Wor Chapter 1 • Lesson 2 13 Lesson 2 CHAPTER 1 Name © Houghton Mifflin Harcourt Publishing Company Round to the Nearest Ten or Hundred I Can round numbers to the nearest ten or hundred. © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Design Pics Inc./Alamy Images One Way Use a number line to round. A Round 32 to the nearest ten. Find which tens the number is between. 32 is between _ and _. 32 is closer to _ than it is to _. 32 rounded to the nearest ten is _. So, the length of Mia’s bat rounded to the nearest ten inches is _ inches. B Round 174 to the nearest hundred. Find which hundreds the number is between. 174 is between _ and _. 174 is closer to _ than it is to _. So, 174 rounded to the nearest hundred is _. When you round a number, you find a number that tells you about how much or about how many. Mia’s baseball bat is 32 inches long. What is its length rounded to the nearest ten inches? Math Talk Construct arguments and critique reasoning of others. How is rounding to the nearest ten similar to rounding to the nearest hundred? MP

700 710 720 700 750 800 14 Go Math! Grade 3 A Nearest Ten B Nearest Hundred 718 is closer to _ than it is to _. So, 718 rounds to _. 718 is closer to _ than it is to _. So, 718 rounds to _. Another Way Use place value. A Round 63 to the nearest ten. Think: The digit in the ones place tells if the number is closer to 60 or 70. 3 ● 5 So, the tens digit stays the same. Write 6 as the tens digit. Write zero as the ones digit. So, 63 rounded to the nearest ten is _. B Round 457 to the nearest hundred. Think: The digit in the tens place tells if the number is closer to 400 or 500. 5 ● 5 So, the hundreds digit increases by one. Write 5 as the hundreds digit. Write zeros as the tens and ones digits. So, 457 rounded to the nearest hundred is _. 457 • Find the place to which you want to round. • Look at the digit to the right. • If the digit is less than 5, the digit in the rounding place stays the same. • If the digit is 5 or greater, the digit in the rounding place increases by one. • Write zeros for the digits to the right of the rounding place. Round 718 to the nearest ten and hundred. Locate and label 718 on the number lines. 63 © Houghton Mifflin Harcourt Publishing Company Math Talk Construct arguments and critique reasoning of others. Explain how using place value is similar to using a number line. MP

400 500 600 30 40 50 60 Math Share and Show Board Chapter 1 • Lesson 2 15 Name Round to the nearest ten. Round to the nearest hundred. Locate and label 46 on the number line. Round to the nearest ten. 4. 19 _ 5. 66 _ 6. 51 _ 7. 463 _ 8. 202 _ 9. 658 _ 13. There are 372 workers at a software company. There are 483 workers at a lumber company. When rounding to the nearest hundred, which company has 400 workers? 1. 46 is between _ and _. 2. 46 is closer to _ than it is to _. 3. 46 rounded to the nearest ten is _. 10. 548 is between _ and _. 11. 548 is closer to _ than it is to _. 12. 548 rounded to the nearest hundred is _. Locate and label 548 on the number line. Round to the nearest hundred. © Houghton Mifflin Harcourt Publishing Company Math Talk Construct arguments and critique reasoning of others. What is the greatest number that rounds to 50 when rounded to the nearest ten? What is the least number? Explain. MP On Your Own

Demonstrate Your Thinking Demonstrate Your Thinking Show the Math Spot on the FPO Day Number of Visitors Sunday Monday Tuesday Wednesday Thursday Friday 894 793 438 362 839 725 Saturday 598 Visitors to the Giraffe Exhibit 16 Go Math! Grade 3 © Houghton Mifflin Harcourt Publishing Company © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Peter Barritt/Alamy Images Use the table for problems 14–16. 14. On which day did about 900 visitors come to the giraffe exhibit? 15. On which two days did about 400 visitors come to the giraffe exhibit each day? 16. On which two days did about 800 visitors come to the giraffe exhibit each day? 17. MP Cole said that 555 rounded to the nearest ten is 600. What is Cole’s error? Explain. 18. Write five numbers that round to 360 when rounded to the nearest ten. 19. Select the numbers that round to 100. Select all that apply. A 38 C 109 B 162 D 83 Problem Solving · Applications World Real Wor

600 700 800 900 Problem Solving World Real Wor Chapter 1 • Lesson 2 17 © Houghton Mifflin Harcourt Publishing Company Name Round to the Nearest Ten or Hundred LESSON 1.2 Practice and Homework 10. The baby elephant weighs 435 pounds. What is its weight rounded to the nearest hundred pounds? 11. Jayce sold 218 cups of lemonade at his lemonade stand. What is 218 rounded to the nearest ten? 12. Write Math Describe how to round 678 to the nearest hundred. 1. 739 is between _ and _. 2. 739 is closer to _ than it is to _. 3. 739 rounded to the nearest hundred is _. 4. 66 __ __ 7. 209 __ __ 5. 829 __ __ 8. 663 __ __ 6. 572 __ __ 9. 949 __ __ Locate and label 739 on the number line. Round to the nearest hundred. Round to the nearest ten and hundred. 700 800

6 13. One day, 758 people visited the Monkey House at the zoo. What is 758 rounded to the nearest hundred? 14. Sami ordered 132 dresses for her store. What is 132 rounded to the nearest ten?

   475 Math Talk Construct arguments and critique reasoning of others. Will the sum of the compatible numbers 425 and 475 be greater than or less than the exact sum? Explain. MP

__ When you round a number, you find a number that tells about how many or about how much. Math Talk Construct arguments and critique reasoning of others. How can a number rounded to the nearest ten be greater than the same number rounded to the nearest hundred? MP

__ 8. Seth bought a pair of sneakers for $48 and a jacket for $64. Explain how you can estimate to find the total amount that he spent for the sneakers and jacket. 9. Elena drove 255 miles last week and 342 miles this week. About how many miles did Elena drive for the two weeks, rounded to the nearest hundred? 10. There are 187 kindergarten students, 203 first-grade students, and 382 second-grade students. About how many students are in the three grades, rounded to the nearest ten? How does the answer change if you round each number to the nearest hundred? Math Talk Construct arguments and critique reasoning of others. What other compatible numbers could you use for 428 and 286? MP

289 = 400 500

231 two different ways.

7 17. What is 645 rounded to the nearest ten? 12. The McBrides drove 317 miles on one day and 289 miles on the next day. Estimate the number of miles the McBrides drove during the two days. 13. Rakesh counted 63 birds in his backyard last week. This week, he counted 71 birds in his backyard. About how many birds did Rakesh count?

15 = _ So, _ musicians play either string or woodwind instruments. B

27 = _ candles candles candles candles candles candles

_= ■ _= ■ Harrison School Attendance Day 3rd Graders 4th Graders Monday 92 104 Tuesday 101 96 Wednesday 105 93 Thursday 99 102 Friday 97 103 6. The answer is 201 students. What is the question?

Problem Solving · Applications 28 Go Math! Grade 3 © Houghton Mifflin Harcourt Publishing Company 10. On Monday, 46 second graders and 38 third graders bought lunch at school. How many students bought lunch? A 74 B 76 C 84 D 73 Fill in the bubble for the correct answer choice. You can use models, number lines, and equations to represent and solve. 7. The Juice Hut sold 27 blueberry smoothies on Monday and 25 blueberry smoothies on Tuesday. How many blueberry smoothies were sold in all on Monday and Tuesday? A 47 C 60 B 52 D 50 8. There are 198 adults and 124 children visiting a museum. What is the total number of people visiting the museum? A 432 C 322 B 302 D 424 9. The table shows the number of books third and fourth graders collected for a book drive. In which week did the students collect the most books? A Week 4 C Week 3 B Week 2 D Week 1 Number of Books Collected Week Grade 3 Grade 4 1 24 31 2 38 21 3 29 27 4 32 26

_= ■ _= ■ Use the table for problems 2–5. You may use models, number lines, and equations to represent and solve. 2. How many picture frames were sold at the Craft Fair? 3. How many candles were sold at the Craft Fair? 4. How many flower baskets and candles combined were sold on Sunday? 5. If another 40 pencil holders were sold after the fair ended, how many pencil holders were sold in all? Craft Fair Items Item Number Sold Saturday Sunday Picture frames 108 72 Flower baskets 95 113 Pencil holders 84 75 Candles 104 92

30 Go Math! Grade 3 © Houghton Mifflin Harcourt Publishing Company Lesson Check Spiral Review 6. Beth reads 45 pages of a book in one week and 66 pages the following week. How many pages does Beth read in all? A 100 B 101 C 90 D 111 7. A museum has 165 oil paintings and 128 watercolor paintings. How many paintings does the museum have in all? A 383 B 283 C 293 D 193 8. Pieto collects 89 bottles for recycling day. Ming collects 68 bottles. What is the total number of bottles that the children collect? A 147 B 117 C 157 D 114 9. Mrs. Pollick’s classroom has 135 fiction books and 98 nonfiction books. Mr. Walter’s classroom has 29 fewer books. How many books are in Mr. Walter’s classroom? A 194 B 204 C 233 D 262 10. List the odd numbers between 40 and 52. 11. List the even numbers between 50 and 64.

4 2 • Will the sum be closer to 90 or 100? Math Talk Construct arguments and critique reasoning of others. Explain how to group the digits to make them easy to add. MP

8 8 Math Talk Construct arguments and critique reasoning of others. Explain how the Commutative and Associative Properties of Addition are alike and how they are different. MP

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Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8

Go Math Answer Key:  HMH Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8 are provided helps students to have learning targets and achieve success at chapter and lesson level and makes learning visible.

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Students can find Go Math Answer Keys right from  Primary School to High School all in one place. You just need to tap on the quick links available in order to access them and learn all the Chapters in each grade. Once you tap on the quick link you will be directed to the respective Grade Solutions Key wherein you can access the complete information. You can find Solutions for all the Go Math Textbook Questions free of cost and we don’t charge any amount.

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Go Math Grade K Answer Key

• Chapter 1 Represent, Count, and Write Numbers 0 to 5
• Chapter 2 Compare Numbers to 5
• Chapter 3 Represent, Count, and Write Numbers 6 to 9
• Chapter 4 Represent and Compare Numbers to 10
• Chapter 5 Addition
• Chapter 6 Subtraction
• Chapter 7 Represent, Count, and Write 11 to 19
• Chapter 8 Represent, Count, and Write 20 and Beyond
• Chapter 9 Identify and Describe Two-Dimensional Shapes
• Chapter 10 Identify and Describe Three-Dimensional Shapes
• Chapter 11 Measurement
• Chapter 12 Classify and Sort Data
• Chapter 1 Addition Concepts
• Chapter 2 Subtraction Concepts
• Chapter 3 Addition Strategies
• Chapter 4 Subtraction Strategies
• Chapter 5 Addition and Subtraction Relationships
• Chapter 6 Count and Model Numbers
• Chapter 7 Compare Numbers
• Chapter 8 Two-Digit Addition and Subtraction
• Chapter 9 Measurement
• Chapter 10 Represent Data
• Chapter 11 Three-Dimensional Geometry
• Chapter 12 Two-Dimensional Geometry
• Chapter 1 Number Concepts
• Chapter 2 Numbers to 1,000
• Chapter 3 Basic Facts and Relationships
• Chapter 4 2-Digit Addition
• Chapter 5 2-Digit Subtraction
• Chapter 6 3-Digit Addition and Subtraction
• Chapter 7 Money and Time
• Chapter 8 Length in Customary Units
• Chapter 9 Length in Metric Units
• Chapter 10 Data
• Chapter 11 Geometry and Fraction Concepts

Grade 3 HMH Go Math – Answer Keys

• Chapter 1: Addition and Subtraction within 1,000
• Chapter 2: Represent and Interpret Data
• Chapter 3: Understand Multiplication
• Chapter 4: Multiplication Facts and Strategies
• Chapter 5: Use Multiplication Facts
• Chapter 6: Understand Division
• Chapter 7: Division Facts and Strategies
• Chapter 8: Understand Fractions
• Chapter 9: Compare Fractions
• Chapter 10: Time, Length, Liquid Volume, and Mass
• Chapter 11: Perimeter and Area
• Chapter 12:Two-Dimensional Shapes

Grade 3 HMH Go Math – Extra Practice Questions and Answers

• Chapter 1: Addition and Subtraction within 1,000 Extra Practice
• Chapter 2: Represent and Interpret Data Extra Practice
• Chapter 3: Understand Multiplication Extra Practice
• Chapter 4: Multiplication Facts and Strategies Extra Practice
• Chapter 5: Use Multiplication Facts Extra Practice
• Chapter 6: Understand Division Extra Practice
• Chapter 7: Division Facts and Strategies Extra Practice
• Chapter 8: Understand Fractions Extra Practice
• Chapter 9: Compare Fractions Extra Practice
• Chapter 10: Time, Length, Liquid Volume, and Mass Extra Practice
• Chapter 11: Perimeter and Area Extra Practice
• Chapter 12: Two-Dimensional Shapes Extra Practice

Common Core Grade 4 HMH Go Math – Answer Keys

• Chapter 1 Place Value, Addition, and Subtraction to One Million
• Chapter 2 Multiply by 1-Digit Numbers
• Chapter 3 Multiply 2-Digit Numbers
• Chapter 4 Divide by 1-Digit Numbers
• Chapter 5 Factors, Multiples, and Patterns
• Chapter 6 Fraction Equivalence and Comparison
• Chapter 7 Add and Subtract Fractions
• Chapter 8 Multiply Fractions by Whole Numbers
• Chapter 9 Relate Fractions and Decimals
• Chapter 10 Two-Dimensional Figures
• Chapter 11 Angles
• Chapter 12Relative Sizes of Measurement Units
• Chapter 13 Algebra: Perimeter and Area

Grade 4 Homework Practice FL.

Common Core – Grade 4 – Practice Book

• Chapter 1 Place Value, Addition, and Subtraction to One Million  (Pages 1- 20)
• Chapter 2 Multiply by 1-Digit Numbers  (Pages 21 – 47)
• Chapter 3 Multiply 2-Digit Numbers  (Pages 49- 65)
• Chapter 4 Divide by 1-Digit Numbers  (Pages 67 – 93)
• Chapter 5 Factors, Multiples, and Patterns  (Pages 95 – 109)
• Chapter 6 Fraction Equivalence and Comparison  (Pages 111 – 129)
• Chapter 7 Add and Subtract Fractions  (Pages 131 – 153)
• Chapter 8 Multiply Fractions by Whole Numbers  (Pages 155- 167)
• Chapter 9 Relate Fractions and Decimals  (Pages 169- 185)
• Chapter 10 Two-Dimensional Figures  (Pages 187- 204)
• Chapter 11 Angles  (Pages 205- 217)
• Chapter 12 Relative Sizes of Measurement Units  (Pages 219- 244)
• Chapter 13 Algebra: Perimeter and Area  (Pages 245- 258)

Grade 4 Homework FL. – Answer Keys

• Chapter 2 Multiply by 1-Digit Numbers Review/Test
• Chapter 3 Multiply 2-Digit Numbers Review/Test
• Chapter 4 Divide by 1-Digit Numbers Review/Test
• Chapter 5 Factors, Multiples, and Patterns Review/Test
• Chapter 6 Fraction Equivalence and Comparison Review/Test
• Chapter 7 Add and Subtract Fractions Review/Test
• Chapter 8 Multiply Fractions by Whole Numbers Review/Test
• Chapter 9 Relate Fractions and Decimals Review/Test
• Chapter 10 Two-Dimensional Figures Review/Test
• Chapter 11 Angles Review/Test
• Chapter 12 Relative Sizes of Measurement Units Review/Test
• Chapter 13 Algebra: Perimeter and Area Review/Test
• Chapter 1: Place Value, Multiplication, and Expressions
• Chapter 2: Divide Whole Numbers
• Chapter 3: Add and Subtract Decimals
• Chapter 4: Multiply Decimals
• Chapter 5: Divide Decimals
• Chapter 6: Add and Subtract Fractions with Unlike Denominators
• Chapter 7: Multiply Fractions
• Chapter 8: Divide Fractions
• Chapter 9: Algebra: Patterns and Graphing
• Chapter 10: Convert Units of Measure
• Chapter 11: Geometry and Volume
• Chapter 1: Divide Multi-Digit Numbers
• Chapter 2: Fractions and Decimals
• Chapter 3: Understand Positive and Negative Numbers
• Chapter 4: Model Ratios
• Chapter 5: Model Percents
• Chapter 6: Convert Units of Length
• Chapter 7: Exponents
• Chapter 8: Solutions of Equations
• Chapter 9: Independent and Dependent Variables
• Chapter 10: Area of Parallelograms
• Chapter 11: Surface Area and Volume
• Chapter 12: Data Displays and Measures of Center
• Chapter 13: Variability and Data Distributions

Go Math Answer Key for Grade 7

• Chapter 1: Adding and Subtracting Integers
• Chapter 2: Multiplying and Dividing Integers
• Chapter 3: Rational Numbers
• Chapter 4: Rates and Proportionality
• Chapter 5: Percent Increase and Decrease
• Chapter 6: Algebraic Expressions
• Chapter 7: Writing and Solving One-Step Inequalities
• Chapter 8: Modeling Geometric Figures
• Chapter 9: Circumference, Area, and Volume
• Chapter 10: Random Samples and Populations
• Chapter 11: Analyzing and Comparing Data
• Chapter 12: Experimental Probability
• Chapter 13: Theoretical Probability and Simulations
• Chapter 1 Real Numbers
• Chapter 2 Exponents and Scientific Notation
• Chapter 3 Proportional Relationships
• Chapter 4 Nonproportional Relationships
• Chapter 5 Writing Linear Equations
• Chapter 6 Functions
• Chapter 7 Solving Linear Equations
• Chapter 8 Solving Systems of Linear Equations
• Chapter 9 Transformations and Congruence
• Chapter 10 Transformations and Similarity
• Chapter 11 Angle Relationships in Parallel Lines and Triangles
• Chapter 12 The Pythagorean Theorem
• Chapter 13 Volume
• Chapter 14 Scatter Plots
• Chapter 15 Two-Way Tables

Give your kid the right amount of knowledge he needs as a part of your preparation by taking the help of our HMH Go Math Answer Key for Grades K-8. Resolve all your queries and assess your preparation standard using the Common Core Go Math Solution Key.

Practicing from the Go Math Answer Key for Grades K to 8 will provide a grade by grade roadmap and prepares students for College Readiness. Gradewise HMH Go Math Answer Key provided will develop problem-solving skills among students thereby helping them to Think, Explore and Grow. The Diverse Opportunities provided helps Kids to master the content with engaging activities.

Characteristics of Go Math Answer Key for Grades K to 8

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• All the Go Math Answer Key for Grades K to 8 are easy to download and we don’t charge any penny from you.
• Step by Step Solutions provided in the HMH Go Math Practice Key is aligned as per the College and Career Expectations.
• Solving from the Math 101 Practice Key helps you inculcate Higher Order Thinking Skills and you can answer any Question from your Homework, Assessment, or Review Test.
• More Rigorous Content made available meets the Common Core State Standards Initiative.
• You can gain a deeper knowledge of mathematical concepts and find solutions to all the Questions from Go Math Textbooks for Grades K, 1, 2, 3, 4, 5, 6, 7, 8

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You can use the HMH Go Math Answer Key for Grades K to 8 while practicing the Go Math Textbook Questions as a part of your Homework or Assessment and make the most out of them.

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Page No. 1006

Math / Math Worksheets / 3rd Grade Math Worksheets

Free Printable 3rd Grade Math Worksheets PDF

Download free printable math worksheets for 3rd grade in PDF. Our math worksheets for Grade 3 can be used in the classroom or for home practice. These math 3rd Grade worksheets contain also a link to the online game which helps students to improve their 3rd Grade math skills.

You can also try our Online Math Games for Grade 3 here →

← 2nd Grade Math Worksheets | 4th Grade Math Worksheets →

Add and subtract to 100

Emoji maths puzzles

Multiplication crossword

Most of these 3rd grade math worksheets are generated automatically, so every time you get a new worksheet. So, if there is written ´Generate a new PDF´ under the worksheet, you can download as many different free math worksheets for 3rd grade as you want.

Class timetable

2 digit addition

ONLINE MATH GAMES FOR GRADE 3

Addition and subtraction games and puzzles, shapes and multiplication.

Magic squares puzzles

Identifying fractions

Fraction identification

Number bonds to 100

Christmas tree

Subtraction pyramids

Math Workbook

2 digit subtraction

3 digit addition

3 digit subtraction

Click here to download 2 pages for free.

100 Matchstick Puzzles in PDF

Printable math matchstick puzzles with answers. Move 1 stick to fix the equation.

LOOK INSIDE

Digital download: 102 pages

Math Worksheets for 3rd Grade MULTIPLICATION

Our printable multiplication worksheets for Grade 3 help kids to master multiplication. These free printable 3rd grade worksheets are prepared with the aim of to help students learn math in a easy way.

Multiplication board game

Multiplication flash cards

Multiplication puzzles

Single digit multiplication

Multiplication dice game

Multiplication chart

Multiplication pyramids

Multiplication comparison

Multiply 2 digit by 1 digit

Multiply 3 digit by 1 digit

Multiply 4 digit by 1 digit

2 digit by 2 digit

Multiplication games in PDF

50 multiplication puzzles

Fun printable puzzles to practice multiplication. 50 different pictures, many multiplication tasks.

🛒 GET YOUR PDF

Digital Download: 50 pages

3rd grade math worksheets DIVISION

Our free printable 3rd grade math division worksheets help kids to enjoy and master division. These math worksheets for 3rd grade are prepared with the aim of to help teachers and parents to teach division in a fun way.

Division board game

Division puzzles

Division BINGO game

Math 3rd Grade Worksheets

These grade 3 math worksheets cover addition, subtraction, multiplication, division and much more. You may freely use any of the printable math 3rd Grade Worksheets in the classroom or for homework. Just click on the math worksheet image and download the PDF. Our math worksheets for 3th grade are PDF documents with the answer key on the 2nd page.

Free Math Worksheets

Download the collection of our best math worksheets for Grade 1-5.

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