Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf ·...

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Transcript of Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf ·...

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Copyright © by the McGraw- Hill Companies, Inc. All rights reserved. Permission is granted to reproduce the material contained herein on the condition that such material be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with California Mathematics. Any other reproduction, for use or sale, is prohibited without prior written permission of the publisher.

Send all inquiries to:Macmillan/ McGraw- Hill8787 Orion PlaceColumbus, OH 43240

ISBN: 978-0-02-105817-4MHID: 0-02-105817-2

Printed in the United States of America

4 5 6 7 8 9 10 ROV 19 18 17 16 15 14 13 12 11 10

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Teacher’s Guide to Using Chapter 2 Resources ..........................................iv

Chapter 2 Graphic Organizer ................................... 1Student Glossary .......................................................... 2Family Letter ................................................................ 4Family Letter Spanish ................................................. 5Chapter 2 Anticipation Guide .................................. 6Chapter 2 Game .......................................................... 7

Lesson 2–1 Addition PropertiesReteach ........................................................................... 8Skills Practice ................................................................ 9Homework Practice ..................................................10Problem-Solving Practice ........................................11Enrich.............................................................................12

Lesson 2–2 Problem-Solving Skill: Estimate or Exact Answer

Reteach .........................................................................13Skills Practice ..............................................................15Homework Practice ..................................................16Enrich.............................................................................17

Lesson 2–3 Estimate SumsReteach .........................................................................18Skills Practice ..............................................................19Homework Practice ..................................................20Problem-Solving Practice ........................................21Enrich.............................................................................22

Lesson 2–4 Two-Digit AdditionReteach .........................................................................23Skills Practice ..............................................................24Homework Practice ..................................................25Problem-Solving Practice ........................................26Enrich.............................................................................27

Lesson 2–5 Add MoneyReteach .........................................................................28Skills Practice ..............................................................29Homework Practice ..................................................30Problem-Solving Practice ........................................31Enrich.............................................................................32

Lesson 2–6 Problem-Solving Investigation: Choose a Strategy

Reteach .........................................................................33Skills Practice ..............................................................35Homework Practice ..................................................36Enrich.............................................................................37

Lesson 2–7 Three-Digit AdditionReteach .........................................................................38Skills Practice ..............................................................39Homework Practice ..................................................40Problem-Solving Practice ........................................41Enrich.............................................................................42

Lesson 2–8 Add Greater Numbers

Reteach .........................................................................43Skills Practice ..............................................................44Homework Practice ..................................................45Problem-Solving Practice ........................................46Enrich.............................................................................47

Individual Progress Checklist .................................48

Chapter Tests:Chapter Diagnostic Assessment ...........................49Chapter Pretest ..........................................................50Quiz 1 ............................................................................51Quiz 2 ............................................................................52Quiz 3 ............................................................................53Mid-Chapter Review .................................................54Vocabulary Test ..........................................................55Oral Assessment ........................................................56Chapter Project Rubric .............................................58Foldables Rubric ........................................................59Test Form 1 .................................................................60Test Form 2A ...............................................................62Test Form 2B ...............................................................64Test Form 2C ...............................................................66Test Form 2D ..............................................................68Test Form 3 .................................................................70Extended-Response Test .........................................72

Student Recording Sheet ....................................73

Cumulative Standardized Test Practice ..............................................................74

Answer Pages ...........................................................A1

Grade 3 Chapter 2Table of Contents

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Teacher’s Guide to Using the Chapter 2 Resource Masters

The Chapter 2 Resource Masters includes the core materials needed for Chapter 2. These materials include worksheets, extensions, and assessment options. The answers for these pages appear at the back of this booklet.

All of the materials found in this booklet are included for viewing and printing on the TeacherWorks PlusTM CD-ROM.

Chapter ResourcesGraphic Organizer (page 1) This master is a tool designed to assist students with comprehension of grade-level concepts. While the content and layout of these tools vary, their goal is to assist students by providing a visual representation from which they can learn new concepts.

Student Glossary (page 2) This master is a study tool that presents the key vocabulary terms from the chapter. You may suggest that students highlight or star the terms they do not understand. Give this list to students before beginning Lesson 2–1. Remind them to add these pages to their mathematics study notebooks.

Anticipation Guide (page 6) This master is a survey designed for use before beginning the chapter. You can use this survey to highlight what students may or may not know about the concepts in the chapter. There is space for recording how well students answer the questions before they complete the chapter. You may find it helpful to interview students a second time, after completing the chapter, to determine their progress.

Game (page 7) A game is provided to reinforce chapter concepts and may be used at appropriate times throughout the chapter.

Resources for Computational LessonsReteach Each lesson has an associated Reteach worksheet. In general, the Reteach worksheet focuses on the same lesson content but uses a different approach, learning style, or modality than that used in the Student

Edition. The Reteach worksheet closes with computational practice of the concept.

Skills Practice The Skills Practice worksheet for each lesson focuses on the computational aspect of the lesson. The Skills Practice worksheet may be helpful in providing additional practice of the skill taught in the lesson.

Homework Practice The Homework Practice worksheet provides an opportunity for additional computational practice. The Homework Practice worksheet includes word problems that address the skill taught in the lesson.

Problem-Solving Practice The Problem-Solving Practice worksheet presents additional reinforcement in solving word problems that apply both the concepts of the lesson and some review concepts.

Enrich The Enrich worksheet presents activities that extend the concepts of the lesson. Some Enrich materials are designed to widen students’ perspectives on the mathematics they are learning. These worksheets are written for use with all levels of students.

Resources for Problem-Solving Strategy and Problem-Solving Investigation Lessons In recognition of the importance of problem-solving strategies, worksheets for problem-solving lessons follow a slightly different format. For problem-solving lessons, a two-page Reteach worksheet offers a complete model for choosing a problem-solving strategy. For each Problem-Solving Strategy lesson, Reteach and Homework Practice worksheets offer reinforcement of the strategy taught in the Student Edition lesson. In contrast, the Problem-Solving

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Investigation worksheets include a model strategy on the Reteach worksheets and provide problems requiring several alternate strategies on the Homework Practice and Skills Practice worksheets.

Assessment Options The assessment masters in the Chapter 2 Resource Masters offer a wide variety of assessment tools for monitoring progress as well as final assessment.

Individual Progress Checklist This checklist explains the chapter’s goals or objectives. Teachers can record whether a student’s mastery of each objective is beginning (B), developing (D), or mastered (M). The checklist includes space to record notes to parents as well as other pertinent observations.

Chapter Diagnostic Assessment This one-page test assesses students’ grasp of skills that are needed for success in the chapter.

Chapter Pretest This one-page quick check of the chapter’s concepts is useful for determining pacing. Performance on the pretest can help you determine which concepts can be covered quickly and which specific concepts may need additional time.

Mid-Chapter Review This one-page chapter test provides an option to assess the first half of the chapter. It includes both multiple-choice and free-response questions.

Quizzes Three free-response quizzes offer quick assessment opportunities at appropriate intervals in the chapter.

Vocabulary Test This one-page test focuses on chapter vocabulary. It is suitable for all students. It includes a list of vocabulary words and questions to assess students’ knowledge of the words.

Oral Assessment This two-page test consists of one page for teacher directions and questions and a second page for recording responses. Although this assessment is designed to be used with all students, the interview format focuses on assessing chapter content assimilated by ELL students.

Chapter Project Rubric This one-page rubric is designed for use in assessing the chapter project. You may want to distribute copies of the rubric when you assign the project and use the rubric to record each student’s chapter project score.

Foldables Rubric This one-page rubric is designed to assess the Foldables graphic organizer. The rubric is written to the students, telling them what you will be looking for as you evaluate their completed Foldables graphic organizer.

Leveled Chapter Tests• Form 1 assesses basic chapter concepts

through multiple-choice questions and is designed for use with on-level students.

• Form 2A is designed for on-level students and is primarily for those who may have missed the Form 1 test. It may be used as a retest for students who received additional instruction following the Form 1 test.

• Form 2B is designed for students with a below-level command of the English language.

• Form 2C is a free-response test designed for on-level students.

• Form 2D is written for students with a below-level command of the English language.

• Form 3 is a free-response test written for above-level students.

• Extended-Response Test is an extended response test for on-level students.

Student Recording Sheet This one-page recording sheet is for the standardized test in the Student Edition.

Cumulative Standardized Test Practice This three-page test, aimed at on-level students, offers multiple-choice questions and free-response questions.

Answers The answers for the Anticipation Guide and Lesson Resources are provided as reduced pages with answers appearing in black. Full size line-up answer keys are provided for the Assessment Masters.

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Use this graphic organizer to take notes on Chapter 2: Addition. Fill in the missing information.

Commutative Property

The Commutative Property of Addition states that the in which numbers are does not

change the .

Example 2 + 4 = 6 + 2 =

Identity Property

The Identity Property of Addition states that the sum of any and is the .

Example 2 + =

Associative Property

The Associative Property of Addition states that the does not change the .

Example (3 + 4) + 5 3 + (4 + ) 7 + 5 + 12 12

2Graphic Organizer

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Student-Built Glossary2

This is an alphabetical list of new vocabulary terms you will learn in Chapter 2: Addition. As you study the chapter, complete each term’s definition or description. Remember to add the page number where you found the term. Add this page to your math study notebook to review vocabulary at the end of the chapter.

Vocabulary TermFound on

Page Definition/Description/Example

Associative Propertyof Addition

Commutative Property of Addition

decimal point

estimate

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2

Vocabulary TermFound on

Page Definition/Description/Example

front-end estimation

Identity Property of Addition

regroup

Student-Built Glossary (continued)

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Grade 3 4 Chapter 2

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2Family Letter

Grade 3 4 Chapter 2

Dear Family,

Today my class started Chapter 2 : A dditionChapter 2: Addition. I will learn how addi-

tion will help me every day. I will also learn how addition can help when

you want to buy things. Here are my vocabulary words and an activity

that we can do together.

Love, ______________________

The Hershey’s Kisses Addition Bookby Jerry Pallotta

Once Upon a Dimeby Nancy Kelly Allen

The M & M’s Counting Bookby Barbara McGrath

Books to Read

Key Vocabulary

Commutative Property of Addition states that the order in which the numbers are added does not change the sum3 + 4 = 7 and 4 + 3 = 7

Identity Property of Addition states that the sum of any number and zero is the number4 + 0 = 4 and 0 + 4 = 4

Associative Property of Addition states that grouping the addends does not change the sum(3 + 3) + 4 = 10 and 3 + (3 + 4) = 10

regroup renaming a number using place value 10 ones = 1 ten

estimate finding an answer that is close to the exact answer

Collect various items around the

house and set up a store. Make

whole number price tags for each

item. Take turns acting as the

store clerk and the shopper.

When acting as the store clerk,

write down each item the shop-

per chooses and add the items

up. Give the shopper the bill.

Acting as the shopper, use paper

and buttons as play money to pay

for the items. Ask: How much

money did I spend? Ask: How

much change did I get back?

Activity

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2Family LetterCarta a la familia Capítulo 2

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Grade 3 5 Chapter 2

Estimada familia:

Hoy mi clase comenzó el Capítulo 2 : L a a diciónCapítulo 2: La adición. Aprenderé cómo la

suma me ayudará todos los días y también cómo me puede ayudar

cuando quiera comprar cosas. A continuación, están mis palabras de

vocabulario y una actividad que podemos hacer juntos.

Cariños, ___________________

The Hershey’s Kisses Addition Bookde Jerry Pallotta

Once Upon a Dimede Nancy Kelly Allen

The M & M’s Counting Bookde Barbara McGrath

Libros recomendados:

Vocabulario clave

propiedad conmutativa de la adición Establece que el orden en el cual se suman dos o más números no altera la suma3 + 4 = 7 y 4 + 3 = 7

propiedad de identidad de la adición Establece que la suma de cualquier número y cero es igual al número dado4 + 0 = 4 y 0 + 4 = 4

propiedad asociativa de la adición Establece que la agrupación de los sumandos no altera la suma(3 + 3) + 4 = 10 y 3 + (3 + 4) = 10

reagrupar Convertir un número usando el valor de posición10 ones = 1 ten

estimación Hallar una respuesta cercana a la respuesta exacta

Reúnan varios objetos que tengan

en la casa y organicen una tienda.

Hagan etiquetas de precios para

cada objeto. Túrnense para actuar

como el vendedor y como el

comprador. Cuando sean el vend-

edor, anoten cada objeto que el

comprador escoja y súmenlos.

Pásenle la factura al comprador.

Cuando sean el que compra, usen

papel y botones como dinero de

juguete para pagar por los obje-

tos. Pregunten: ¿Cuánto dinero

gastamos? Pregunten: ¿Cuánto

recibimos de vuelto?

Actividad

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Grade 3 6 Chapter 2

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Before you begin Chapter 2

• Read each statement.

• Decide whether you agree (A) or disagree (D) with the statement.

• Write A or D in the first column OR if you are not sure whether you agree or disagree, write NS (not sure).

STEP 1A, D, or NS Statement

STEP 2A or D

1. The Identity Property of Addition states that the sum of any number and zero is the number.

2. The order in which numbers are added changes the sum.

3. (2 + 2) + 3 and 2 + (2 + 3) have the same sum.

4. Adding cents is like adding whole numbers except that you place the cent sign (¢) after the sum of cents.

5. The dollar sign ($) comes after the number.

6. Estimates are never useful.

7. In front-end estimation, you add the end-digits of the numbers.

8. You should regroup when the sum of the column is greater than 9.

9. Using estimation is a good way to check for the reasonableness of a sum.

10. When adding money, it is not necessary to line up the decimal points.

After you complete Chapter 2

• Reread each statement and complete the last column by entering an A (agree) or a D (disagree).

• Did any of your opinions about the statements change from the first column?

• For those statements that you mark with a D, use a separate sheet of paper to explain why you disagree. Use examples, if possible.

STEP 1STEP 1

STEP 2STEP 2

Anticipation GuideAddition

2

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You will need:

• 12 index cards 3,452

1,6741

• paper • marker and pencils

Write several 3- and 4-digit numbers on the index cards.

1. Place the cards face up between the players.

2. Have the first player choose 2 number cards and tell if he or she will regroup when the numbers are added. Then add the numbers.

3. Have the player keep the cards if the prediction was correct. If the prediction was incorrect, the other player gets the cards.

4. Take turns choosing cards and adding the numbers.

5. Count the cards when all the cards have been used. The player with the most cards wins.

2Chapter 2 GameRegroup or Not?

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Grade 3 8 Chapter 2

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You can use different strategies to help you add.

Commutative PropertyYou can change the order of the addends, but the sum is always the same.

4 + 5 = 95 + 4 = 9

Identity PropertyWhen you add 0 to a number, the sum is always that number.

6 + 0 = 6

Associative PropertyYou can group the addends and keep the sum the same.

(2 + 4) + 6 2 + (4 + 6) 6 + 6 2 + 10

12 12

Fill in the blank.

1. If you know 3 + 6 = , then you know + 3 = .

2. If you know 8 + 0 = , then you know + 8 = .

3. If you know (5 + 6) + 4 = , then you know

5 + ( + 4) =

Find each sum.

4. 4 + 7 = 5. 9 + 2 = 6. 7 + 5 =

7. 3 + 9 = 8. 12 + 5 = 9. 0 + 4 =

ReteachAddition Properties

2–13NS2.1, 3AF1.1

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How many pieces of fruit are pictured above?

4 + 3 + 2 = 9 pieces of fruit

We can get the same result by using addition properties. Fill in the missing numbers below, using each property.

A. Commutative: 4 + 3 + 2 = 2 + 4 + 3 =

B. Identity: 0 + = 9

C. Associative: (4 + 3) + 2 = + ( + 2) = 9

Find each missing number. Identify the property shown.

1. 220 + 0 =

2. 14 + 4 = 18

4 + = 18

3. 8 + (2 + 5) + 3 = (8 + 2) + (5 + 3) =

Find each sum mentally.

4. 2 5. 6 6. 4 7 8 1 + 3 + 2 5

+ 6

Skills PracticeAddition Properties

2–13NS2.1, 3AF1.1

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Grade 3 10 Chapter 2

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2–1Homework PracticeAddition Properties

Find each sum. Identify the property shown.

1. 5 + 4 = 2. 46 + 0 =

4 + 5 =

3. (7 + 9) + 3 = 4. 1 + (9 + 5) =

(7 + 3) + 9 = (1 + 9) + 5 =

Find each missing number. Identify the property shown.

5. (0 + 7) + 3 = + (7 + 3) 6. 20 + 40 = 40 +

Round to the nearest thousand. (Lesson 1–9)

7. 4,801

8. 3,192

9. 6,592

10. 5,038

3NS2.1, 3AF1.1

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Solve.

1. For a science project, Pedro must find 20 autumn leaves. So far, he’s collected 9 yellow leaves, 5 red leaves, and 1 orange leaf. How many leaves does he have so far? How many more does he need? Which addition property did you use?

2. In order to solve a math problem, Ryan switched the parentheses from

7 + (3 + 6) to (7 + 3) + 6.

He told his teacher that he’d used the Commutative Property of Addition. Was he correct?

3. Tamika is making a bracelet. She is using 3 wooden beads, 5 gold beads, 4 blue beads, 5 silver beads, and 3 black beads. What is the total number of beads in her bracelet?

4. Jose has 9 T-shirts, 2 sweaters, 3 long-sleeved pullovers, and 1 jacket. Find how many tops he has. Which property will make your addition easier?

5. Rita has collected items to take to her recycling center. She has 7 boxes of paper, 2 bags of bottles, and 1 bag of cans. How many bags and boxes does she have?

Problem-Solving PracticeAddition Properties

2–13NS2.1, 3AF1.1

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Grade 3 12 Chapter 2

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Pat and Matt own a doughnut shop. They have daily specials. However, they do not always agree on the order doughnuts should go into the boxes. Here are some other things you should know:

• When the daily special has more than 13 doughnuts, they use two boxes.

• Pat and Matt make only four kinds of doughnuts: glazed, cake, blueberry, and cream.

Follow the directions for each problem.

1. Monday’s special is 8 doughnuts. It is a combination of glazed and cake. Pat arranged the first box. First he put in five glazed. How many cake doughnuts did he use to fill the box? Complete the number sentence.

5 glazed + cake = 8 doughnuts

2. Matt puts the cake doughnuts in the box first. Complete the number sentence to show what Matt does. Then tell which property you used.

cake + glazed = 8 doughnuts

3. Friday is one of a kind day. Complete these number sentences that show how a box will be filled with either 12 glazed or 12 cake doughnuts but not both.

glazed + cake = 12 doughnuts

cake + glazed = 12 doughnuts

2–1EnrichFilling Doughnut Boxes

3NS2.1, 3AF1.1

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Sometimes when you solve a problem you need an exact answer.Other times you need an estimate. Deciding if you need an exact answer or an estimate will help you solve the problem. Let’s try an example.

In an hour’s time, Leah can make 12 greeting cards. Steven can make 9 cards in the same amount of time. Together, about how many cards can they make?

Step 1Understand What facts do you know?

• Leah makes 12 cards in an hour.• Steven makes 9 cards in an hour.

Step 2Plan Do you need an exact answer to this question?

No. When you see about, you know that an estimated answer is needed.

Step 3Solve First, round each number.

Leah 12 cards � 10 cardsSteven 9 cards � 10 cards

Now, add both of your rounded numbers. This will give you a final estimate.

10 + 10 = 20

So, Leah and Steven can make about 20 greeting cards in an hour.

Step 4Check Look back at the problem. Since it says “about

how many,” you know that making an estimate is the correct plan. Notice that since 12 + 9 = 21, your estimate is very close to the exact answer!

ReteachProblem-Solving Skill

2–23MR2.5

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Tell whether an estimate or an exact answer is needed. Then solve.

1. On Saturday, Zachary’s sister works in the garden for 2 hours and earns $5 every hour. For mowing the lawn, Zachary is paid $12. Who will earn more money?

2. The Littleton Public Library gets 37 new magazines and books every week. In 3 weeks, about how many books and magazines will be received?

3. Last week, Ms. Llamas spent $62 for gas and $85 for repairs on her car. About how much did she spend on her car?

4. Raul cut 2 pieces of fabric. One piece was 12 inches long. Another piece was 41 inches long. Will Raul have enough fabric for a project that needs 67 inches of fabric? Explain.

5. About how much money would Katie need to buy the following items at the grocery store?

Toy 1 32¢

Toy 2 24¢

ReteachProblem-Solving Skill (continued)

2–23MR2.5

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2–2Skills PracticeProblem-Solving Skill

Tell whether an estimate or an exact answer is needed. Then solve.

1. Chan is learning about dinosaurs. The head and body of Chan’s favorite dinosaur is 36 feet long, and the tail is 19 feet long. In all, how long is the entire dinosaur?

2. Jasmine and Casey are in charge of bringing fruit for the class picnic. There are 34 students in their class. Jasmine and Casey buy 11 apples, 6 oranges, 7 bananas, and 8 peaches. Will there be enough for everyone to have one piece of fruit? Explain.

3. For Exercise 2, use estimation to see whether or not Jasmine and Casey will have enough fruit for the class. Is estimation a good way to solve this problem?

4. There are 75 chairs at the concert. Four chairs are broken. How many people can sit on chairs at the concert?

5. Twenty-six babies are born every day at the Pine Valley Hospital. In 2 days, about how many babies will be born there?

3MR2.5

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2–2Homework PracticeProblem-Solving Skill

Tell whether an estimate or an exact answer is needed. Then solve.

1. The principal of Sydney Elementary School wants at least 50 students to enter the National Poetry Contest. In Mr. Ogden’s class, 19 students entered the contest. In Miss Lee’s class, 9 students entered. Are there enough students entered? Explain.

2. The Coopertown Museum of Art has 12 sculptures and 39 pieces of pottery. About how many total pieces of art does the museum have?

3. At Marta’s school library, there are 16 shelves of novels and 21 shelves of history books. How many shelves are there in all?

Find each sum. Identify the property shown. (Lesson 2–1)

4. 12 + (3 + 4) = 5. 5 + 4 + 2 =

(12 + 3) + 4 = 5 + 2 + 4 =

3MR2.5

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2

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453

The sum of the numbers in each straight line must be the same. Find the missing numbers.

1.

2.

3.

25

10 25

25

4. Explain the strategy you used to find the missing numbers.

EnrichStraight Line Sums

2–23MR2.5

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ReteachEstimate Sums

Estimation can be a very useful tool. The Corner News Stand sold 122 newspapers on Monday and 94 newspapers on Tuesday. About how many newspapers were sold in all? Rounding will help you find the answer to this problem.

Corner News Stand

Actual amount Round to the nearest 100

Monday 122 100

Tuesday 94 100

Estimated Total 200

About 200 newspapers were sold on these two days.

Front-end estimation is another way to find an approximate sum. At the community center, 36 people are swimming and 54 people are playing golf. About how many people are there in all?

Use the front digits, and change the other digits to 0.

36 � 30 54 � 50

30 + 50 = 80

So, there are about 80 people at the community center.

Estimate each sum using rounding.

1. 49¢ + 23¢ 2. 59 + 32

Estimate each sum using front-end estimation.

3. $77 + $66 4. 26 + 59

2–33NS1.4

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Skills PracticeEstimate Sums

Estimate each sum using rounding.

1. 95 + 31 2. 16 + 12

3. 90 + 85 4. 39 + 78

5. 42 + 61 6. 22 + 84

Estimate each sum using front-end estimation

7. 50 + 86 8. 47 + 24

9. 98 + 81 10. 45 + 85

11. 24 + 76 12. 83 + 31

Solve.

13. Kayla collects animal pictures. So far, she has 27 horse pictures and 12 pictures of bears. About how many pictures does she have now?

14. This week the school store sold 39 pencils and 12 folders. About how many pencils and folders did the school store sell this week?

2–33NS1.4

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Estimate each sum using rounding.

1. 54 + 86 2. 15 + 29

3. 12 + 81 4. 28 + 76

Estimate each sum using front-end estimation.

5. 46 + 89 6. 38 + 45

7. 12 + 99

8. Last Saturday, 73 people worked out at the Ferndale Fitness Center. On Sunday, 65 people worked out. About how many people were at the fitness center on those two days?

Tell whether an estimate or an exact answer is needed. Then solve. (Lesson 2–2)

9. Filipa wants to learn karate. One month of classes costs $55, and a karate suit costs $35. How much will she pay?

10. Every Sunday, Jamila and her family visit her grandparents. Then they go to visit her aunt. Her family drives 49 miles to see her grandparents and drives 17 more miles to her aunt’s house. How many miles do they drive?

Homework PracticeEstimate Sums

2–33NS1.4

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2–3Problem-Solving PracticeEstimate Sums

Solve.

1. If Kiki buys a digital camera that costs $73 and a book that costs $12, about how much will she pay?

2. Michelle has saved $11 from her allowance, and her sister Maria has saved $13. They want to buy their mother a $30 pair of earrings for Mothers’ Day. Together, will they have enough money? Explain.

Use the information below for Exercises 3 and 4.

The Centerville Store sells items for the following prices:

hat $12 shirt $17

3. Using front-end estimation, about how much will it cost if Robert buys a hat and a shirt?

4. Two sisters are each buying a hat and a shirt. Estimate by rounding to find about how much their items will cost in all.

3NS1.4

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2–3EnrichAbout How Much?

Ted and Jen are helping their teachers plan a field trip to space camp. The teachers want Ted and Jen to help them make estimates. Ted and Jen have different ways of estimating. Ted estimates by rounding. Jen makes front-end estimates.

1. The teachers told Ted and Jen that they think space camp will cost $39 for the students and $16 for the adults. About how much will all of the tickets cost? Write what Ted and Jen would estimate.

Whose estimate is closer to the actual cost?

2. The students collected soda cans to recycle to help pay for the trip. One class collected 51 pounds of cans. Another class collected 32 pounds. About how many pounds of cans did the two classes collect? Write what Ted and Jen would estimate.

3. The students also sold raffle tickets to help pay for food and bus costs for the trip. Mr. Lin’s class sold 215 tickets. Mrs. Rico’s class sold 150 tickets. About how many tickets did the two classes sell? Write what Ted and Jen would estimate.

4. Are Jen’s estimates usually higher, lower, or the same as Ted’s estimates?

3NS1.4

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The left side of a two-digit number tells us how many tens we have, while the digit on the right shows how many ones we have.

For example, if you have 34 marbles, you have 3 groups of ten marbles and 4 marbles.

If a friend gives you 7 more marbles, you can add 6 of them to your group of 4 marbles (4 + 6 = 10) to make another ten-marble group. Since (7 − 6 = 1) , you will have one marble left over. Using your pencil, add the marbles to the chart above.

Looking at the chart, it is easy to see that you now have 41 marbles.

Add. Check for reasonableness.

ReteachTwo-Digit Addition

2–43NS2.1

1. 37 + 2 =

2. 18 + 36 =

3. 41 + 6 =

4. 33 + 16 =

5. 12 + 19 =

6. 50 + 8 =

7. 52 + 9 =

8. 66 + 6 =

9. 43 + 9 =

10. 77 + 3 =

11. 34 + 7 =

12. 51 + 11 =

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Add. Check for reasonableness.

1. 32 + 12 = 2. 12 + 17 = 3. 45 + 25 =

4. 38 + 16 = 5. 31 + 22 = 6. 29 + 50 =

ALGEBRA Find each missing digit.

7. 72 + 2 = 94 8. 3 + 37 = 76

9. 0 + 46 = 96 10. 83 + 3 = 121

11. 6 + 54 = 150 12. 5 + 27 = 84

13. 4 + 31 = 75 14. 11 + 6 = 97

Solve.

15. For a family picnic, Javier bought 18 peaches, and his sister bought 24 apples. How many pieces of fruit did they buy?

16. Alondra’s science class planted 29 zinnia seeds and 31 marigold seeds. What is the total number of seeds they planted?

Skills PracticeTwo-Digit Addition

2–43NS2.1

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2–4Homework PracticeTwo-Digit Addition

Add. Check for reasonableness.

1. 32 + 6 2. 44 + 13 3. 19 + 49

4. 21 + 34 5. 25 + 3 6. 46 + 10

7. 35 8. 23 9. 14 + 16 + 63 + 76

Solve.

10. At the Park School Soccer Camp, 27 girls and 25 boys attended. How many attended in all?

11. There are 54 small fish and 27 big fish in a pond. How many fish are there altogether?

Estimate each sum using rounding. (Lesson 2–3)

12. 19 + 48 13. 22 + 58

14. 43 + 46

Estimate each sum using front-end estimation.

15. 27 + 24

16. 92 + 44

17. 79 + 17

3NS2.1

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Solve.

1. In the Ripple Creek Zoo, there are four different kinds of animals. Fill in the chart below to find how many there are in each group.

Bears Monkeys Deer Snakes6 brown bears 4 chimpanzees 7 antelopes 1 boa

2 polar bears 2 baboons 4 gazelles 2 pythons

2. Add your sums from Exercise 1 to find the total number of animals in Ripple Creek Zoo.

3. Only 50 people at a time can skate at Brown’s Ice Skating Rink. There were already 21 people in the rink when 37 Auburn Elementary School students arrived. How many people are now at the rink?

4. Brianna’s mother told her to do 50 minutes of homework. If she does 15 minutes of math homework and 37 minutes of English, will this be enough homework time? How long has Brianna worked?

5. Pablo’s family went on a trip to the beach. In the morning, they drove 26 miles, and then after lunch they drove another 45 miles. In all, how far did they travel?

Problem-Solving PracticeTwo-Digit Addition

2–43NS2.1

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Gene’s family is visiting Greenway Park for a vacation. This map shows the places they can stop and visit.It also shows where they can camp.

Visitors'Center

Old MillCampground

LookoutPoint

TableRock

Deer RunCampground

ParkEntrance

TheCaves

7 miles4 miles

9 miles9

mile

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9 miles

13 miles

13 m

iles

17 miles

15 miles

16 miles

1. The family went to the Visitors’ Center after entering the park. Then they went to Deer Run Campground by the shortest route. How many miles did they travel from the Park Entrance?

2. During their second day in the park, they left the campground. Then they went to Lookout Point after stopping at Table Rock. How many miles did they travel to get to Lookout Point?

3. While the family was at Lookout Point, Gene said he wanted to see The Caves before going back to the campground. If they traveled from Lookout Point to The Caves by the shortest route, how many miles did they travel?

EnrichMiles of Vacation Fun

2–43NS2.1

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When you add cents, it is just like adding one- or two-digit numbers, except that you put a cent sign (¢) after each number. Adding dollars is just the same, but a dollar sign ($) is written before each number.

Samantha opened her piggy bank and found 75¢ inside. If she has 8¢ in her pocket, how much money does she have?

Add 75¢ + 8¢.

A. Here is one way to find the sum.

1 75¢ 8¢

83¢

B. Here is another way to write the problem. Use a decimal point to separate dollars and cents. Notice that 8¢ is now written $0.08, because there is nothing in the tenths (dimes) place.

1 $0.75 + $0.08

$0.83

Samantha has a total of 83¢.

Add. Use estimation to check for reasonableness.

1. 12¢ 2. 45¢ 3. $0.01 ______ + 77¢ ______ + 27¢ _______ + $0.49

4. $65 5. $15 6. $28 ______ + $16 ______ + $23 _____ + $31

ReteachAdd Money

2–53NS2.1, 3NS3.3

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2–5Skills PracticeAdd Money

Add. Use estimation to check for reasonableness.

1. 83¢ + 12¢ = 2. 45¢ + 45¢ =

3. $72 + $14 = 4. $0.33 + $0.27 =

5. $0.50 + $0.01 = 6. $0.05 + $0.79 =

7. 23¢ + 26¢ = 8. $30 + $27 =

9. $70 + $12 = 10. 61¢ + 11¢ =

11. $0.23 + $0.38 = 12. $84 + $43 =

Solve. Use the table for Exercises 13 and 14.

Clothing Outlet

Pullovers $18

Tennis shoes $25

Socks $4

Swimsuits $35

13. Lalia wants to buy a swimsuit and a pair of tennis shoes. How much would that cost?

14. Justin is buying a pullover and a pair of socks. How much will these cost?

15. Alanzo wants to buy a basketball that costs $15 and a T-shirt that costs $14. How much will he spend in all?

3NS2.1, 3NS3.3

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Add. Use estimation to check for reasonableness.

1. 41¢ + 18¢ = 2. $12 + $79 =

3. $0.08 + $0.76 = 4. $0.39 + $0.50 =

5. $68 + $8 = 6. $21 + $33 =

7. $13 + $78 = 8. $34 + $17 =

9. $46 + $89 = 10. $0.15 + $0.75 =

11. Anna has $15. If she buys a book that costs $9 and a poster costing $4, how much money will she have left?

12. If Yolanda buys a birthday card for 36¢ and a thank-you card for 46¢, what will she pay in all?

Add. Check for reasonableness. (Lesson 2–4)

13. 55 + 32 14. 19 + 29

15. 65 + 25 16. 16 + 25

17. 41 18. 25 19. 34 + 9 + 7 + 8

20. 47 21. 76 22. 29 + 15 + 15 + 46

Homework PracticeAdd Money

2–53NS2.1, 3NS3.3

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2–5Problem-Solving PracticeAdd Money

1. Brian found $0.25 at the beach on Monday and $0.16 on Tuesday. In all, how much money did he find?

2. Find the Error

Javan added $0.29 + $0.05 and got $0.79 for his total. Find the correct answer, and explain Javan’s error.

3. For math class, Pia has to buy a ruler that costs 42¢ and a compass that costs 49¢. How much money will she spend?

4. Mei Ling bought dinner for her family. The spaghetti cost $45 and the dessert cost $25. How much did her family’s dinner cost?

5. Ryan is inviting friends to his party. The food will cost $63 and the decorations will cost $17. How much will he spend altogether?

6. Melons cost $2 each. If Monica buys 3 melons and $28 worth of seafood, how much will she pay?

3NS2.1, 3NS3.3

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2–5EnrichMystery Money

Read the clues for each problem. Tell what each coin is worth by writing the amount on a circle. Then add the value of the coins. If the total is 99 cents or less, use a cent sign (¢). If the value is more than 99 cents, use a $ and a decimal point. For example, if the total is 34 cents write 34¢; if the total is 134 cents, write $1.34 for 1 dollar and 34 cents.

1. Pete collects dimes, nickels, and pennies. He has twice as many nickels as dimes. He has 4 more pennies than nickels. How much money does Pete have?

=

2. Misty has eight coins. One is a quarter. The rest are pennies, nickels, and dimes. She has twice as many nickels as pennies. She has twice as many pennies as quarters. How much money does she have?

=

3. Tyrone has six coins that total 60¢. His coin with the greatest value is a quarter. His coin with the least value is a nickel. Three of his coins have the same value. What are the values of his coins?

=

3NS2.1, 3NS3.3

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The bookshelf at Sarah’s house has 3 shelves. Each shelf can hold 15 books. Sarah has 17 books. Ed has 19 books. Jen has 10 books. Will all of their books fit on the bookshelf?

There is a lot to organize and understand in this problem. Use a four-step plan.

Step 1Understand

You know how many books each of the 3 shelves will hold, and how many books each person has.

Step 2Plan

There is a lot of information, so make a table.

Step 3Solve

Shelf Books on Shelf

Books left over?

Space on shelf?

Shelf 1(Sarah)

15 2 no

Shelf 2(Ed)

15 4 no

Shelf 3(Jen)

10 0yes—for 5

books

Sarah has 2 books left over and Ed has 4 books left over.

2 + 4 = 6

There is room for 5 books on Jen’s shelf. Since 6 is greater than 5, all of their books will not fit.

Step 4CheckLook back at the problem.

3MR1.1ReteachProblem-Solving Investigation

2–6

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15 + 15 + 15 = , so books can fit on the bookshelf.

17 + 19 + 10 = . Since 46 > 45, one book will be left over.

Solve.

1. Students were growing plants in science class. So far,4 plants have flowered: 2 plants have 3 flowers each, and2 plants have 6 flowers each. Find the total number of flowers.

2. Every year, Daniel’s mother volunteers about 245 hours in the hospital. In 2 years, about how many hours of volunteer work will she do?

3. There are 15 cards in one box and 64 cards in another box. How many cards are there in all?

4. There are 31 students in Miss Strom’s class and 27 students in Miss Wilson’s class. About how many students are there in all?

ReteachProblem-Solving Investigation (continued)

2–63MR1.1

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Solve.

1. Delmar’s school has collected money for charity. They collected $47 from Mrs. Johnson’s class and $52 from Mr. King’s class. How much money do they have in all?

2. For Garrett’s birthday party, he is bringing 2 bags of cookies to school. Each bag contains 24 cookies. How many cookies are there in all?

3. Bill has $0.34 in his pocket. Amanda has $0.54 in her pocket. An apple costs $0.85. If they combine their money, can they buy the apple to share? Explain.

4. In one aquarium, there are 22 minnows. In another aquarium, there are 27 snails. About how many pond animals are there?

2–6Skills PracticeProblem-Solving Investigation

3MR1.1

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Use the four-step plan to solve each problem.

1. Ernesto’s friend lives 7 blocks away from his house. On Saturday morning, Ernesto rode his bike to his friend’s house and rode back home later on. In the afternoon, he rode to his friend’s house again, and later on he rode back home. In all, how many blocks did he ride?

2. Mrs. Shelley’s class is reading The Lion, the Witch, and the Wardrobe. If they read 16 pages every week, how many pages can they read in 2 weeks?

3. At a dance recital, ballet dancers performed for 19 minutes and modern dancers performed for 24 minutes. About how long was the recital?

4. Al visits his grandparents every summer. Al’s mother drives him 16 miles to the bus station. Al travels 75 miles on the bus to his grandparent’s house. How many miles does he travel in all?

Add. Use estimation to check for reasonableness. (Lesson 2–5)

5. 46¢ + 35¢ 7. 12¢ + 77¢

6. $55 + $13 8. $28 + $48

Homework PracticeProblem-Solving Investigation

2–63MR1.1

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A palindrome number is one that reads the same forward and backward. For example, 171 is a palindrome.

→ 171 171 ←

For each problem, reverse the digits of the given number. Add the reversed number to the given number. Check the sum. If it is a palindrome, circle the sum and stop. If it is not a palindrome, keep adding reversed numbers until you get a palindrome number.

Example: 75 + 57 = 132; 132 + 231 = 363

1. 58

2. 77

3. 497

4. What would happen if you tried to subtract rather than add numbers that were the reverse of the given numbers? Do you think you would ever get to a palindrome answer? Why?

2–6EnrichPalindrome Addition

3MR1.1

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2–7ReteachThree-Digit Addition

3NS2.1, 3NS3.3

You can use models to add.

Add 267 + 46.

Step 1

Add the ones. Regroup if necessary.

1 267 Think: 13 ones = _____ + 46 1 ten, 3 ones

Step 2

Add the tens. Regroup if necessary.

11 267 Think: 11 tens = _____ + 46 1 hundred, 1 ten

Step 3

Add the hundreds. Regroup if necessary.

11 267 Think: 1 hundred + _____ + 46 2 hundreds = 3 hundreds

Find each sum. Use models to help.

1. 146 _____ + 29

2. 473 _____ + 55

11

3. 245 _____ +128

4. 182 _____ +275

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Find each sum. Use estimation to check for reasonableness.

1. $5.75 + $1.85 2. 49 + 13 3. 342 + 208

Solve.

4. 661 + 99

5. $7.78 + $7.16

6. 144 + 67

7. 711 + 193

8. 682 + 39

9. For a PTA meeting at the Parkvale Elementary School, the principal has ordered 215 muffins and 155 bagels. How many muffins and bagels were there in all?

10. In February, Lucinda read a book that was 98 pages long. In March, she read a book that was 124 pages long. How many pages did she read in February and March?

11. Miranda’s sunflower plants grew 27 inches in the first month and 37 inches the second month. How tall were Miranda’s sunflowers after two months?

2–7Skills PracticeThree-Digit Addition

3NS2.1, 3NS3.3

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Find each sum. Use estimation to check for reasonableness.

1. $3.51 + $4.65

2. 29 + 66

3. $4.45 + $3.18

4. 653 + 284

5. 178 + 99

6. $6.52 + $1.39

Use the four-step plan to solve each problem. (Lesson 2–6)

7. Kevin’s family bought 2 pizzas that cost $12 each. How much did these items cost altogether?

8. A canary costs $89, and a birdcage costs $82. About how much do the bird and cage cost altogether?

9. A truck is delivering fresh vegetables to the Springfield Grocery Store. Starting from Bealstown, it goes 27 miles north to Bentley, and then goes 39 miles west to Springfield. How many miles is the entire trip to Springfield?

2–7Homework PracticeThree-Digit Addition

3NS2.1, 3NS3.3

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Find each sum. Use estimation to check for reasonableness.

1. Last week, Stephanie cleaned her room for a total of 125 minutes and she watered the garden for 18 minutes. How long did she work?

2. The Allens are redecorating their living room. A new rug will cost $249 and a new sofa will cost $540. How much will the rug and the sofa cost altogether?

3. Megan’s older sister goes to a college that is 197 miles from home. She comes home once a month. How many miles does she travel coming home and going back to college?

4. Mrs. Lewis bought 2 rosebushes for her garden. One cost $6.25 and one cost $3.35. What was the total cost?

5. A long-distance phone call to Germany costs $4.95 for 15 minutes. This week, Jens called his family in Germany twice and talked 15 minutes each time. How much did both phone calls cost?

6. Anwar wants to begin collecting marbles. He decides he would like 315 blue marbles and 15 green marbles. How many marbles does Anwar want in all?

Problem-Solving PracticeThree-Digit Addition

2–73NS2.1, 3NS3.3

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Jean, Pedro, and Betsy belong to a stamp collecting club. Club members must have at least 225 stamps to join. Jerrad is thinking about joining and is waiting for an order of new stamps to arrive. The chart shows how many stamps each club member has.

2–7EnrichStamp Collecting

3NS2.1, 3NS3.3

1. Find a total number of stamps for the three members. First, add Jean’s and Pedro’s. Then add their total to Betsy’s. How many stamps do the current members have all together?

StampsCollected

StampCollector

Jean

Pedro

Betsy

Jerrad

352

496

247

Show how you would add using regrouping.

2. Betsy ordered 159 more stamps. After her order arrives, will she have more or less stamps than Jean?

3. Suppose Jerrad has 136 more stamps than Pedro. Write a number sentence that shows how many stamps Jerrad has now.

Which columns needed regrouping to solve the problem?

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Adding two- and three-digit numbers is just like adding four-digit numbers.

Read the problem.One mile is equal to 5,280 feet. Hunter went on a nature hike.First, he hiked one mile, and then he hiked another 1,323 feet.How many feet did he hike?One way to find the sum is by regrouping. First, estimate to the nearest thousand.

5,280 →

+ 1,323 →

=

Now, find the exact answer.

2–8ReteachAdd Greater Numbers

3NS2.1, 3NS3.3

Step 1

Add the ones.0 + 3 =

Step 2

Add the tens.8 + 2 =

Regroup as a hundred.

Step 3

Add the hundreds.[ 1 ] + 2 + 3 =

Step 4

Add the thousands 5 + 1 =

So, Hunter hiked feet on

the nature hike.

Find each sum. Use estimation to check for reasonableness.

1. 349 + 1,223 2. $48.28 + $31.84

3. At Cliffside Park, there are 121 maple trees and 382 oak trees. How many trees are in the park?

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Skills PracticeAdd Greater Numbers

2–8

Find each sum. Use estimation to check for reasonableness.

1. 328 + 5,908 2. 448 + 561

3. $57.25 + $27.80 4. 806 + 1,220

5. 302 + 1,445 6. 1,833 + 289

7. $43.78 + $12.34 8. $1.59 + $22.37

9. 933 + 1,005 10. 231 + 8,304

Solve

11. In a survey, students were asked which job they would prefer. These were the results:

Scientist 1,295

Writer 93

Estimate how many students participated in the survey.

12. Rachel is running in a cross-country race. She bought running shorts for $29.13 and running shoes for $42.93. How much did she spend?

13. Last year, Jake cleaned his room for 3,120 minutes and mowed the lawn for 305 minutes. How long did he work?

3NS2.1, 3NS3.3

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Homework PracticeAdd Greater Numbers

2–8

Find each sum. Use estimation to check for reasonableness.

1. 4,091 + 238 = 2. $50.45 + $49.99 =

3. 356 + 1,209 = 4. $44.63 + $72.10 =

5. $39.12 + $23.67 = 6. 2,088 + 346 =

7. $74.16 + $24.18 = 8. $45.02 + $54.20 =

9. 3,866 + 727 =

10. Courtney is having a tea party. She bought a teapot for $25.35 and cookies for $6.15. How much money did she spend?

11. Elizabeth went to the craft store to purchase supplies to make a scrapbook. She bought some stamps for $19.99 and beads for $10.45. How much money did she spend?

Find each sum. Use estimation to check for reasonableness. (Lesson 2–7)

12. 708 + 221 = 13. 578 + 333 =

14. 981 + 602 = 15. 132 + 78 =

3NS2.1, 3NS3.3

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Solve.

Travel Agency Deluxe Package Prices:

Philadelphia $3,501Miami $2,990Baltimore $2,503Kansas City $1,994

1. Cheyenne is going to Philadelphia for her summer vacation. Her friend James is going to Miami. How much will both vacation packages cost?

2. Lee’s mother had to go on two trips last year. She went to Baltimore and Kansas City. What was the total cost of her vacation packages?

3. Carlos paid $39.97 for a bat and $80.12 for his uniform. How much did he pay?

4. Paulita bought jewelry when she went to New Mexico. She bought a beaded necklace that cost $23.56 and a bracelet that cost $14.99. What was the total price she paid?

5. Last year, Mr. Landry worked 2,080 hours. This year, he worked 2,404 hours. How many hours did he work in all?

2–8Problem-Solving PracticeAdd Greater Numbers

3NS2.1, 3NS3.3

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Use the Puzzle Numbers below to complete the Magic Grid. The numbers in each row and in each column must add together to equal 3,000. Use each number only once. One square in the grid is done for you. (Hint: Try using sticky notes with the numbers on them to guess and check your choices. Remember to regroup when adding.)

Puzzle Numbers

996, 997, 998, 999, 1,000, 1,001, 1,002, 1,003, 1,004

1,001

2–8EnrichMagic Grid Addition

3NS2.1, 3NS3.3

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B D M Goal Progress

use the properties of addition

add money

estimate sums

add two-digit, three-digit, and four-digit numbers

decide whether an estimate or an exact answer is needed

Notes

Individual Progress Checklist2

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Choose the best word to complete the sentence.

1. is the addition property that states that the order in which the numbers are added does not change the sum.

2. Renaming a number using place value is called .

3. To find an answer that is close to the exact answer is called .

Find each sum.

4. 6 + 2 =

5. 3 + 8 =

6. 4 + 7 =

7. 3 + 5 =

8. 9 + 6 =

Round to the nearest ten.

9. 42

10. 18

11. 46

12. 79

Solve.

13. Emma sold 24 cups of lemonade and 19 cups of water. How many cups did she sell in all?

14. During the flower sale, 54 roses, 23 irises, and 6 orchids were sold. Last year 80 flowers were sold. Were more or less flowers sold this year?

Chapter Diagnostic Assessment2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

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Find each sum. Tell which property you used.

1. 4 + 0 2. 2 + 3 3. (2 + 3) + 6 3 + 2 2 + (3 + 6)

Tell whether you need to regroup. Then find each sum.

4. 43 + 6 5. 72 + 19

Tell whether you need an estimate or an exact answer.

6. Aisha has $3.00. Does she have enough money to buy all of the items in the table? Explain.

Cookies $1.50

Bananas $0.39

Fruit Juice $1.05

7. Mrs. Hwan is expecting 37 magazines to arrive in the mail on Tuesday and 12 magazines on Wednesday. About how many magazines is Mrs. Hwan expecting to get in the mail over the two days?

Find each sum. Use estimation to check for reasonableness.

8. 592 + 54 9. $1.06 + $4.99

10. $31.29 + 7.09 11. 4,444 + 3,333

Chapter Pretest2

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Find each sum. Identify the property shown.

1. 59 + 0

2. 5 + 6 = 6 + 5 =

3. 6 + (6 + 8) = (6 + 6) + 8 =

Estimate each sum using rounding.

4. 82 + 47

5. 26 + 55

6. 19 + 61

Estimate each sum using front-end estimation.

7. 39 + 54

8. 12 + 68

9. 56 + 58

Solve.

10. Tomas has 6 toy cars, 3 toy trains, and 5 toy airplanes. How many toys does he have in all?

11. Sharise bought a box of crayons with 36 different colors. Her friend Vicki bought a box of crayons containing 27 different colors. Together, how many colors do they have?

12. Sharise paid $19 for her crayons, and Vicki paid $17. About how much was the total cost?

Quiz 1 (Lessons 2–1 through 2–3)2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

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Add. Check for reasonableness.

1. 48 + 3 =

2. 19 + 20 =

3. 35¢ + 55¢ =

4. $0.68 + $0.04 =

5. $22 + $58 =

6. $16 + $19 =

Use the four-step plan to solve each problem. Tell which strategy you used.

7. There are 15 students in the chess club and 22 students in the painting club. How many students are in the clubs in all?

8. One box of dog biscuits costs $13, and one box of cat treats costs $22. If the Geary family buys 2 boxes of dog biscuits and 2 boxes of cat treats, how much will all 4 boxes cost?

9. In the third grade, 52 students play soccer and 46 students play basketball. What is the total number of students who play these sports?

10. A month of drum lessons costs $68, and a month of guitar lessons costs $53. About how much will a month of both lessons cost?

11. Miranda bought a magazine for $6 and a book for $16. How much did she spend in all?

Quiz 2 (Lessons 2–4 through 2–6)2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

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Find each sum. Use estimation to check for reasonableness.

1. $4.25 + $2.86 = 2. $53 + $17 =

3. 78 + 19 = 4. 205 + 815 =

5. $824 + $190 = 6. 74¢ + 17¢ =

Fill in the missing numbers.

7. 5,371 + 1,616 =

8. 4,621 + 3,497 =

9. $27.36 + $71.35 =

10. $62.15 + $23.11 =

Solve. Use estimation to check for reasonableness.

11. The school library bought a new bookshelf for $85.18, and a new table for $69.25. What is the total price?

12. At the Peachtree Diner, a plate of macaroni and cheese costs $4.99 and a dinner salad costs $4.15. How much do both cost?

13. Jessica lives 117 miles from the beach. If her family drives to the beach Saturday morning and drives home on Sunday night, what will be the mileage for both trips?

14. For a camping trip, Lindsey is buying a tent that costs $56 and a sleeping bag that costs $39. How much will she pay?

Quiz 3 (Lessons 2–7 through 2–8)2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

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Find each sum. Tell which property you used.

1. 16 + 0

2. (9 + 5) + 5

9 + (5 + 5)

3. 8 + 33 + 8

Tell whether you need to regroup. Then find each sum.

4. 79 + 20

5. 16 + 25

Find each sum.

6. 75¢ + 23¢

7. $0.49 + $0.36

Use estimation or an exact answer to solve.

8. On Saturday Jeffrey made $39 at his lemonade stand, and on Sunday he made $42. About how much money did he make?

A. About $75 B. About $80 C. $81 D. $83

9. Juan’s wristwatch cost $55, and his best friend’s wristwatch cost $31. How much is the total cost?

F. $100 G. $90 H. $86 J. $76

Mid-Chapter Review (Lessons 2–1 through 2–5)2

1.

2.

3.

4.

5.

6.

7.

8.

9.

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Using the word bank below, complete each sentence by writing the correct word or words in the blank.

Associative Property of Addition

Commutative Property of Addition

cents sign (¢) front-end estimation

decimal point dollar sign ($)

estimate sum

Identity Property of Addition

regroup

1. The states that grouping the addends does not change the sum.

2. To find an answer that is close to the exact answer, you .

3. The goes before the cents.

4. The states that the order in which the numbers are added does not change the sum.

5. The goes before the sum of dollars.

6. The states that the sum of any number and zero is the number.

7. When you add two numbers, you find the .

8. In you add the value of the front-digits of the number.

9. When you you rename a number using place value.

10. The goes after the sum of cents.

Vocabulary Test2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

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Grade 3 56 Chapter 2

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Arrange a selection of small objects. Include 5 of each object. Read each question aloud to the student. Then write the student’s answers on the lines below the question.

1. How many objects do we have?

2. If I combine these five objects with these three objects, how many objects will I have?

3. How many will I have if I add two more objects?

4. Tell how you got your answer.

5. If we take two away, how many will we have left?

6. Tell how you got your answer.

7. If I buy a drink for $1.50 and a sandwich for $2.50, how much money will I spend?

Oral Assessment2

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Grade 3 57 Chapter 2

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Oral Assessment (continued)2

8. Where do we place the dollar sign?

9. Where do we place the decimal point?

10. Do we place a cents sign on the amount?

11. Why or why not?

12. If I buy two apples for $0.30, how much money did I spend?

13. How many ways can we write this amount?

14. Tell how you got your answer.

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Grade 3 58 Chapter 2

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Chapter Project Rubric

Score Explanation

3 Student successfully completed the chapter project.

Student demonstrated appropriate use of chapter information in completing the chapter project.

2 Student completed the chapter project with partial success.

Student partially demonstrated appropriate use of chapter information in completing the chapter project.

1 Student did not complete the chapter project or completed it with little success.

Student demonstrated very little appropriate use of chapter information in completing the chapter project.

0 Student did not complete the chapter project.

Student demonstrated inappropriate use of chapter information in completing the chapter project.

2

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Grade 3 59 Chapter 2

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2

Addition

Four-Door Book Foldable

Score Explanation

3 Student properly assembled Foldables graphic organizer according to instructions.

Student recorded information related to the chapter in the manner directed by the Foldables graphic organizer.

Student used the Foldables graphic organizer as a study guide and organizational tool.

2 Student exhibited partial understanding of proper Foldables graphic organizer assembly.

Student recorded most but not all information related to the chapter in the manner directed by the Foldables graphic organizer.

Student demonstrated partial use of the Foldables graphic organizer as a study guide and organizational tool.

1 Student showed little understanding of proper Foldables graphic organizer assembly.

Student recorded only some information related to the chapter in the manner directed by the Foldables graphic organizer.

Student demonstrated little use of the Foldables graphic organizer as a study guide and organizational tool.

0 Student did not assemble Foldables graphic organizer according to instructions.

Student recorded little or no information related to the chapter in the manner directed by the Foldables graphic organizer.

Student did not use the Foldables graphic organizer as a study guide and organizational tool.

Foldables Rubric

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Name Date

Grade 3 60 Chapter 2

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Read each question carefully. Write your answer on the line provided.

Find each sum. Tell which property you used.

1. 0 + 125

A. 125, associative B. 125, identity C. 130, commutative D. 135, identity

2. 6 + (4 + 9)(6 + 4) + 9

F. 34, associative G. 29, commutative H. 19, associative J. 19, commutative

Tell whether you need to regroup, and then find each sum.

3. 34 + 6

A. No, 40 B. No, 50 C. Yes, 40 D. Yes, 39

4. 88 + 11

F. Yes, 99 G. No, 99 H. Yes, 100 J. No, 181

Find each sum.

5. 57¢ + 27¢

A. 90¢ B. 84¢ C. 80¢ D. 74¢

6. $0.46 + $0.25

F. $0.61 G. $0.66 H. $0.71 J. $0.72

7. Eva saved $29 in May and $32 in June. How much money did she save?

A. $71 B. $61 C. $0.61 D. $60

Chapter Test, Form 12

1.

2.

3.

4.

5.

6.

7.

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Grade 3 61 Chapter 2

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Use estimation or an exact answer to solve each problem.

8. In 15 minutes, Samantha can do 22 math problems and Eric can do 26. About how many problems can they do together?

F. About 50 G. About 60 H. 48 J. 65

9. If Miguel came to school with 56¢ and Carlotta came to school with 45¢, how much money do they have together?

A. 92¢ B. 101¢ C. 145¢ D. About 110¢

Estimate the sum using rounding.

10. 77 + 11

F. 75 G. 88 H. 90 J. 100

Estimate the sum using front-end estimation.

11. 29 + 13

A. 60 B. 50 C. 40 D. 30

Solve. Choose a strategy.

12. Look at the number pattern below. What will the next two numbers be?9, 18, 27, ,

F. 29, 38 G. 38, 49 H. 34, 45 J. 36, 45

Find each sum. Check for reasonableness.

13. $8,205 + $815

A. $9,000 B. $9,010 C. $9,020 D. $9,800

14. The football team raised $2,575 for a charity event. The basketball team raised $2,805. How much money did the two teams raise in all?

F. $6,000 G. $5,380 H. $5,280 J. $4,500

8.

9.

10.

11.

12.

13.

14.

Chapter Test, Form 1 (continued)2

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Grade 3 62 Chapter 2

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Read each question carefully. Write your answer on the line provided.

Find each sum. Tell what property you used.

1. 36 + 0

A. 360, identity B. 38, commutative C. 36, associative D. 36, identity

2. 8 + (2 + 3)(8 + 2) + 3

F. 12, associative G. 13, associative H. 13, commutative J. 15, commutative

Tell whether you had to regroup, and then find each sum.

3. 31 + 10

A. Yes, 41 B. Yes, 35 C. No, 40 D. No, 41

4. 12 + 8

F. No, 22 G. Yes, 21 H. No, 20 J. Yes, 20

Find each sum.

5. $0.54 + $0.28

A. $1.00 B. $82 C. $0.82 D. $0.72

6. $35 + $45

F. $90 G. $85 H. $70 J. $80

7. 22¢ + 39¢

A. 60¢ B. 61¢ C. 62¢ D. 72¢

Chapter Test, Form 2A2

1.

2.

3.

4.

5.

6.

7.

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Grade 3 63 Chapter 2

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Estimate the sum using rounding.

8. 79 + 9

F. 79 G. 80 H. 88 J. 90

Estimate the sum using front-end estimation.

9. 66 + 19

A. 76 B. 80 C. 70 D. 60

Solve. Choose a strategy.

10. Madelyn walked her dog for 46 minutes on Saturday, and for 36 minutes on Sunday. How many minutes was that in all?

F. 70 G. 72 H. 82 J. 106

11. Carlos saved $73 in August, and $15 in September. How much money does he have?

A. $97 B. $88 C. $86 D. 80

12. Bill bought dog food for $49.99 and cat food for $35.60. How much did Bill spend in all?

F. $74.59 G. $84.59 H. $85.59 J. $96.59

13. Terry bought a camera for $45.62 and a camera case for $15.99. How much did he spend altogether?

A. $51.61 B. $61.61 C. $70.60 D. $71.61

Find each sum. Use estimation to check for reasonableness.

14. 125 + 206

F. 401 G. 331 H. 321 J. 330

15. $3.20 + $5.90

A. $9.10 B. $9.00 C. $8.10 D. $8.00

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11.

12.

13.

14.

15.

Chapter Test, Form 2A (continued)2

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Grade 3 64 Chapter 2

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Read each question carefully. Write your answer on the line provided.

Add. Tell what rule you used.

1. 36 + 0

A. 360, identity B. 36, associative C. 36, identity

2. 8 + (2 + 3) (8 + 2) + 3

F. 13, associative G. 13, commutative H. 12, associative

Tell whether you need to regroup. Then add.

3. 31 + 10

A. No, 40 B. Yes, 41 C. No, 41

4. 12 + 8

F. No, 22 G. Yes, 20 H. No, 20

Add.

5. $0.54 + $0.28

A. $1.00 B. $82 C. $0.82

6. $35 + $45

F. $90 G. $80 H. $70

7. 22¢ + 39¢

A. 60¢ B. 61¢ C. 72¢

Chapter Test, Form 2B2

1.

2.

3.

4.

5.

6.

7.

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Grade 3 65 Chapter 2

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Estimate the sum using rounding. 8. 79 + 9

F. 79 G. 80 H. 90

Estimate the sum using front-estimation.

9. 66 + 19

A. 76 B. 70 C. 80

Solve. Choose a strategy.

10. Madelyn walked her dog for 46 minutes on Saturday and 36 minutes on Sunday. How many minutes did she walk her dog?

F. 70 G. 82 H. 106

11. If there are 25 yogurts in one box and 15 containers in the other, about how many yogurts are there in all?

A. About 50 B. 40 C. About 35

12. Bill bought dog food for $49.99 and cat food for $35.60. How much did Bill spend in all?

F. $74.59 G. $84.59 H. $85.59

13. Terry bought a camera for $45.62 and a camera case for $15.99. How much did he spend altogether?

A. $51.61 B. $61.61 C. $70.60

Add.

14. 125 + 206

F. 321 G. 330 H. 331

15. $3.20 + $5.90

A. $9.10 B. $9.00 C. $8.00

Chapter Test, Form 2B (continued)2

8.

9.

10.

11.

12.

13.

14.

15.

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Grade 3 66 Chapter 2

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Read each question carefully. Write your answer on the line provided.

Tell whether you had to regroup, and then find each sum.

1. 31 + 10

2. 12 + 8

Find each sum. Tell what property you used.

3. 36 + 0

4. 8 + (2 + 3) (8 + 2) + 3

Find the missing digit.

5. 18 + 2 = 40

Find each sum.

6. $0.54 + $0.28

7. $35 + $45

8. 22¢ + 39¢

Estimate the sum using rounding.

9. 79 + 9

Chapter Test, Form 2C2

1.

2.

3.

4.

5.

6.

7.

8.

9.

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Grade 3 67 Chapter 2

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Estimate the sum using front-end estimation.

10. 66 + 19

Use estimation or an exact answer to solve.

11. Madelyn walked her dog for 46 minutes on Saturday, and for 36 minutes on Sunday. How many minutes was that in all?

12. Carlos saved $73 in August, and $15 in September. How much money does he have?

13. If Jefferson studies for 37 minutes in the morning and 42 minutes in the evening, about how long will he have studied in all?

14. The grocery store has 2 boxes of yogurt. If there are 25 containers of yogurt in one box and 15 containers in the other, about how many containers are there in all?

Find each sum. Use estimation to check for reasonableness.

15. 125 + 206

16. $3.20 + $5.90

Choose a strategy and solve.

17. Bill bought dog food for $49.99 and cat food for $35.60. How much did Bill spend in all?

18. The Health Center sold 38 bottles of carrot juice, and 7 bottles were still on the shelf. How many bottles were there originally?

Chapter Test, Form 2C (continued)2

10.

11.

12.

13.

14.

15.

16.

17.

18.

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Grade 3 68 Chapter 2

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Read each question carefully. Write your answer on the line provided.

Add. Tell what rule you used.

1. 36 + 0

2. 8 + (2 + 3) (8 + 2) + 3

Find the missing number.

3. 18 + 2 = 40

Tell whether you need to regroup. Then add.

4. 31 + 10

5. 12 + 8

Add.

6. $0.54 + $0.28

7. $35 + $45

8. 22¢ + 39¢

Choose a strategy and solve.

9. The Health Center sold 38 bottles of carrot juice. Only 7 bottles were left on the shelf at the end of the day. How many bottles were there in the morning?

10. Bill bought dog food for $49.99 and cat food for $35.60. How much did Bill spend in all?

Chapter Test, Form 2D2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

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Grade 3 69 Chapter 2

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11. Terry bought a camera for $45.62 and a camera case for $15.99. How much did he spend altogether?

Estimate the sum using rounding.

12. 79 + 9

Estimate the sum using front-end estimation.

13. 66 + 19

Use estimation or an exact answer to solve.

14. Madelyn walked her dog for 46 minutes on Saturday and 36 minutes on Sunday. How many minutes did she walk her dog?

15. Carlos saved $73 in August and $15 in September. How much money does he have?

16. If Taro studies for 37 minutes in the morning and 42 minutes in the evening, about how long will he have studied in all?

17. If there are 25 yogurts in one box and 15 yogurt containers in the other, about how many yogurts are there in all?

Find each sum. Use estimation to check for reasonableness.

18. 125 + 206

19. $3.20 + $5.90

Chapter Test Form 2D (continued)2

11.

12.

13.

14.

15.

16.

17.

18.

19.

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Name Date

Grade 3 70 Chapter 2

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Macm

illan/McG

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ompanies, Inc.

Read each question carefully. Write your answer on the line provided.

Find each sum.

1. $0.54 + $0.28

2. $35 + $45

3. 22¢ + 39¢

Find each sum. Tell what property you used.

4. 36 + 0

5. 8 + (2 + 3) (8 + 2) + 3

Tell whether you had to regroup, and then find each sum.

6. 31 + 10

7. 12 + 8

Find the missing digit.

8. 18 + 2 = 40

1.

2.

3.

4.

5.

6.

7.

8.

Chapter Test, Form 32

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Grade 3 71 Chapter 2

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Estimate the sum using rounding.

9. 79 + 9

Estimate the sum using front-end estimation.

10. 66 + 19

Choose a strategy and solve.

11. The Health Center sold 38 bottles of carrot juice, and 7 bottles were still on the shelf. The Health Center also sold 44 bottles of apple juice and 16 bottles of cranberry juice. How many bottles of carrot juice were there originally?

12. Bill bought dog food for $49.99 and cat food for $35.60. How much did Bill spend in all?

13. Terry bought a camera for $45.62 and a camera case for $15.99. How much did he spend altogether?

Find each sum. Use estimation to check for reasonableness.

14. 125 + 206

15. $3.20 + $5.90

Use estimation or an exact answer to solve.

16. Madelyn walked her dog for 52 minutes on Thursday, 46 minutes on Saturday, and for 36 minutes on Sunday. How many minutes did Madelyn walk her dog?

17. Carlos earns $100 a month. In August, Carlos managed to save $73 of his $100. In September, he saved $15. How much money did he save in both months?

9.

10.

11.

12.

13.

14.

15.

16.

17.

2Chapter Test, Form 3 (continued)

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Grade 3 72 Chapter 2

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Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include all relevant drawings and justify your answers. You may show your solution in more than one way or investigate beyond the requirements of the problem. If necessary, record your answer on another piece of paper.

1. Explain in your own words the meaning of addition.

a. Explain the Commutative Property of Addition and provide an example.

b. Explain the Identity Property of Addition and provide an example.

c. Explain the Associative Property of Addition and provide an example.

2. Sam is at the food court and wants to order a ham sandwich and fruit salad for lunch. How much will it cost?

Food Item Price

ham sandwich $2.15

turkey sandwich $2.50

fruit salad $3.40

tossed salad $1.95

apple wedges $1.50

pretzel sticks $1.00

a. Jill wants to order a tossed salad and pretzel sticks. How much will it cost?

b. Bianca wants to order a turkey sandwich and apple wedges. How much will it cost?

c. What is the total cost of Jill and Bianca’s order?

2Chapter Extended-Response Test

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Grade 3 73 Chapter 2

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Use this recording sheet with pages 102–103 of the Student Edition.

Read each question. Then fill in the correct answer.

1. A B C D

2.

3. A B C D

4.

5. A B C D

6.

7. A B C D

8.

9. A B C D

10.

Student Recording Sheet2

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Grade 3 74 Chapter 2

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Test Example

Makya bought running shoes for $89.67 and a pack of athletic socks for $5.99. How much did he spend in all?

A. $ 85.66 B. $ 85.68 C. $ 94.56 D. $ 95.66

Read the Question

You need to add to find out the amount spent.

Solve the Question

To help eliminate answer choices, estimate the 2 amounts. Round the price of the items to the nearest dollar.

$89.67 $90.00 +$5.99 +6.00 $96.00

You can eliminate answer choices A and B.

Choice C rounded to the nearest dollar is $95.

Choice D rounded to the nearest dollar is $96.

So, the answer is D.

Cumulative Standardized Test Practice2

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Grade 3 75 Chapter 2

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Read each question carefully. Write your answer on the line provided.

1. Suri bought a book that cost $6.99 and a red pen for $1.99. What was the total cost of the two items?

A. $9.98 B. $8.98 C. $7.98 D. $6.99

2. Which number makes this number sentence true? 3 + 4 + 7 = 3 + 7 +

F. 3 G. 4 H. 7 J. 14

3. What is the sum of 34 + 149 rounded to the nearest ten?

A. 190 B. 183 C. 180 D. 170

4. The Sunnyview School sold 2,428 school calendars. The Riverside School sold 4,541 school calendars. How many calendars were sold in all?

F. 5,000 G. 6,000 H. 6,969 J. 6,970

5. Ciana and her cousin have 683 marbles. Which of these equals 683?

A. 6 + 80 + 3 B. 6 + 8 + 3 C. 600 + 80 + 3 D. 600 + 8 + 3

6. Which point on the number line names 173?

150 160 170 180 190

Q R S T

F. Q G. R H. S J. T

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2Cumulative Standardized Test Practice (continued)

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Grade 3 76 Chapter 2

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7. What is 2,267 rounded to the nearest thousand?

A. 3,500 B. 3,000 C. 2,200 D. 2,000

8. What number has a 6 in the tens place and a 1 in the hundreds place?

F. 5,641 G. 5,614 H. 5,461 J. 5,164

9. How is two thousand, two hundred fifty-five written in standard form?

A. 2,552 B. 2,522 C. 2,255 D. 2,252

10. What is the value of the digit 6 in 5,261?

11. How is 3,450 written in word form?

12. What is 7,431 rounded to the nearest thousand?

13. Marta has 322 stamps. Write 322 in expanded form.

14. What is the sum of 497 + 328?

1 5. Lisa planted 172 seeds this year. Kara planted 73 seeds. About how many seeds did Lisa and Kara plant in all?

7.

8.

9.

10.

Cumulative Standardized Test Practice (continued)2

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An

swer

s

Grade 3 A1 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.Answers (Graphic Organizer and Anticipation Guide)

Nam

e D

ate

Gra

de 3

6

Cha

pter

2

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

Bef

ore

you

beg

in C

ha

pte

r 2

• Re

ad e

ach

stat

emen

t.

• D

ecid

e w

heth

er y

ou a

gree

(A)

or

disa

gree

(D

) w

ith t

he

stat

emen

t.

• W

rite

A or

D in

the

firs

t co

lum

n O

R if

you

are

not

sure

whe

ther

yo

u ag

ree

or d

isag

ree,

writ

e N

S (n

ot s

ure)

.

STEP

1A

, D, o

r N

SSt

atem

ent

STEP

2A

or

D 1

. Th

e Id

entit

y Pr

oper

ty o

f Ad

ditio

n st

ates

tha

t th

e su

m

of a

ny n

umbe

r an

d ze

ro is

the

num

ber.

A 2

. The

ord

er in

whi

ch n

umbe

rs a

re a

dded

cha

nges

the

su

m.

D 3

. (2

+ 2

) +

3 a

nd 2

+ (

2 +

3)

have

the

sam

e su

m.

A 4

. Add

ing

cent

s is

like

add

ing

who

le n

umbe

rs e

xcep

t th

at y

ou p

lace

the

cen

t si

gn (

¢) a

fter

the

sum

of

cent

s.

A 5

. The

dol

lar

sign

($)

com

es a

fter

the

num

ber.

D 6

. Est

imat

es a

re n

ever

use

ful.

D 7

. In

fron

t-en

d es

timat

ion,

you

add

the

end

-dig

its o

f th

e nu

mbe

rs.

D 8

. You

sho

uld

regr

oup

whe

n th

e su

m o

f th

e co

lum

n is

gr

eate

r th

an 9

.A

9. U

sing

est

imat

ion

is a

goo

d w

ay t

o ch

eck

for

the

reas

onab

lene

ss o

f a

sum

. A

10. W

hen

addi

ng m

oney

, it

is n

ot n

eces

sary

to

line

up t

he

deci

mal

poi

nts.

D

A

fter

you

com

ple

te C

ha

pte

r 2

• Re

read

eac

h st

atem

ent

and

com

plet

e th

e la

st c

olum

n by

en

terin

g an

A (

agre

e) o

r a

D (

disa

gree

).

• D

id a

ny o

f yo

ur o

pini

ons

abou

t th

e st

atem

ents

cha

nge

from

the

fir

st c

olum

n?

• Fo

r th

ose

stat

emen

ts th

at y

ou m

ark

with

a D

, use

a s

epar

ate

shee

t of

pap

er to

exp

lain

why

you

dis

agre

e. U

se e

xam

ples

, if p

ossi

ble.

STEP

1ST

EP 1

STEP

2ST

EP 2

Ant

icip

atio

n G

uide

Add

ition

2

Chapter Resources

Nam

e D

ate

Gra

de 3

1

Cha

pter

2

Use

thi

s gr

aphi

c or

gani

zer

to t

ake

note

s on

Ch

apte

r 2:

Ad

dit

ion

. Fill

in t

he

mis

sing

info

rmat

ion.

Com

mu

tati

ve P

rop

erty

The

Com

mut

ativ

e Pr

oper

ty o

f Ad

ditio

n st

ates

tha

t th

e in

whi

ch n

umbe

rs a

re

doe

s no

t ch

ange

the

.

Exam

ple

2

+ 4

= 6

+

2 =

ord

eror

der

add

edad

ded

sum

sum

4466

Iden

tity

Pro

per

ty

The

Iden

tity

Prop

erty

of

Addi

tion

stat

es t

hat

the

sum

of

any

and

is

the

.

Exam

ple

2

+

=

nu

mb

ern

um

ber

zero

zero

nu

mb

ern

um

ber

0022

Ass

ocia

tive

Pro

per

ty

The

Asso

ciat

ive

Prop

erty

of

Addi

tion

stat

es t

hat

th

e d

oes

not

chan

ge t

he

.

Exam

ple ( 3

+ 4

) +

5

3 +

(4

+

) 7

+ 5

+

12

12

grou

pin

ggr

oup

ing

add

end

sad

den

ds

sum

sum

5533

99

2G

raph

ic O

rgan

izer

Page 84: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A2 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2–1)

Chapter Resources

Nam

e D

ate

Gra

de 3

9

Cha

pter

2

How

man

y p

iece

s of

fru

it a

re p

ictu

red

ab

ove?

4+

3

+ 2

=

9 p

iece

s of

fru

it

We

can

get

the

sam

e re

sult

by u

sing

add

ition

pro

pert

ies.

Fi

ll in

the

mis

sing

num

bers

bel

ow, u

sing

eac

h pr

oper

ty.

A

. Com

mut

ativ

e: 4

+ 3

+ 2

= 2

+ 4

+ 3

=

B

. Ide

ntity

: 0 +

= 9

C

. Ass

ocia

tive:

(4

+ 3

)+

2=

+ (

+ 2

)=

9

Fin

d e

ach

mis

sin

g n

um

ber

. Id

enti

fy t

he

pro

per

ty s

how

n.

1.

220

+ 0

=

2.

14+

4 =

18

4+

= 1

8

3.

8+

(2+

5)

+ 3

= (

8+

2)

+(5

+ 3

)=

Fin

d e

ach

su

m m

enta

lly.

4.

2

5.

6 6.

4

7

8

1

+ 3

+

2

5+

6

9999

4433

220,

id

enti

ty22

0, i

den

tity

1414co

mm

uta

tive

com

mu

tati

ve18

, ass

ocia

tive

18, a

ssoc

iati

ve

12121616

1616

Skill

s Pr

acti

ceA

dditi

on P

rope

rtie

s

2–1

3NS2

.1, 3

AF1

.1

Nam

e D

ate

Gra

de 3

8

Cha

pter

2

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

You

can

use

diffe

rent

str

ateg

ies

to h

elp

you

add.

Com

mu

tati

ve P

rop

erty

You

can

chan

ge t

he o

rder

of

the

adde

nds,

but

the

sum

is

alw

ays

the

sam

e.

4 +

5 =

95

+ 4

= 9

Iden

tity

Pro

per

tyW

hen

you

add

0 to

a n

umbe

r, th

e su

m is

alw

ays

that

num

ber.

6 +

0 =

6

Ass

ocia

tive

Pro

per

tyYo

u ca

n gr

oup

the

adde

nds

and

keep

the

sum

the

sam

e.

( 2 +

4)

+ 6

2

+ (

4 +

6)

6 +

6

2 +

10

12

12

Fill

in

th

e b

lan

k.

1.

If yo

u kn

ow 3

+ 6

=

, th

en y

ou k

now

+

3 =

.

2.

If yo

u kn

ow 8

+ 0

=

, th

en y

ou k

now

+ 8

=

.

3.

If yo

u kn

ow (

5 +

6)

+ 4

=

, th

en y

ou k

now

5

+ (

+ 4

) =

Fin

d e

ach

su

m.

4.

4 +

7 =

5. 9

+ 2

=

6.

7 +

5 =

7.

3 +

9 =

8. 1

2 +

5 =

9. 0

+ 4

=

9966

9988

0088

1515

661515

11111111

1212

12121717

44

Rete

ach

Add

ition

Pro

pert

ies

2–1

3NS2

.1, 3

AF1

.1

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An

swer

s

Grade 3 A3 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.Answers (Lesson 2–1)

Chapter Resources

Nam

e D

ate

Gra

de 3

11

C

hapt

er 2

Solv

e.

1.

For

a sc

ienc

e pr

ojec

t, Pe

dro

mus

t fin

d 20

aut

umn

leav

es. S

o fa

r, he

’s c

olle

cted

9 y

ello

w le

aves

, 5 r

ed le

aves

, and

1 o

rang

e le

af. H

ow m

any

leav

es d

oes

he h

ave

so f

ar?

How

man

y m

ore

does

he

need

? W

hich

add

ition

pro

pert

y di

d yo

u us

e?

2.

In o

rder

to

solv

e a

mat

h pr

oble

m, R

yan

switc

hed

the

pare

nthe

ses

from

7

+ (

3 +

6)

to (

7 +

3)

+ 6

.

H

e to

ld h

is t

each

er t

hat

he’d

use

d th

e C

omm

utat

ive

Prop

erty

of

Add

ition

. Was

he

corr

ect?

3.

Tam

ika

is m

akin

g a

brac

elet

. She

is u

sing

3 w

oode

n be

ads,

5

gold

bea

ds, 4

blu

e be

ads,

5 s

ilver

bea

ds, a

nd 3

bla

ck

bead

s. W

hat

is t

he t

otal

num

ber

of b

eads

in h

er b

race

let?

4.

Jose

has

9 T

-shi

rts,

2 s

wea

ters

, 3 lo

ng-s

leev

ed p

ullo

vers

, and

1

jack

et. F

ind

how

man

y to

ps h

e ha

s. W

hich

pro

pert

y w

ill

mak

e yo

ur a

dditi

on e

asie

r?

5.

Rita

has

col

lect

ed it

ems

to t

ake

to h

er r

ecyc

ling

cent

er. S

he

has

7 bo

xes

of p

aper

, 2 b

ags

of b

ottle

s, a

nd 1

bag

of

cans

. H

ow m

any

bags

and

box

es d

oes

she

have

?

15, H

e n

eed

s 5

mor

e le

aves

, com

mu

tati

ve15

, He

nee

ds

5 m

ore

leav

es, c

omm

uta

tive

No,

he

use

d t

he

asso

ciat

ive

pro

per

tyN

o, h

e u

sed

th

e as

soci

ativ

e p

rop

erty

20 b

ead

s20

bea

ds

15, c

omm

uta

tive

15, c

omm

uta

tive

10 b

ags

and

box

es10

bag

s an

d b

oxes

Prob

lem

-Sol

ving

Pra

ctic

eA

dditi

on P

rope

rtie

s

2–1

3NS2

.1, 3

AF1

.1

Nam

e D

ate

Gra

de 3

10

Cha

pter

2

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

2–1

Hom

ewor

k Pr

acti

ceA

dditi

on P

rope

rtie

s

Fin

d e

ach

su

m. I

den

tify

th

e p

rop

erty

sh

own

.

1.

5+

4 =

2. 4

6 +

0 =

4+

5 =

3.

( 7+

9)

+ 3

=

4. 1

+ (

9+

5)

=

( 7+

3)

+ 9

=

(1

+ 9

)+

5 =

Fin

d e

ach

mis

sin

g n

um

ber

. Id

enti

fy t

he

pro

per

ty s

how

n.

5.

( 0+

7)

+ 3

=+

( 7+

3)

6. 2

0 +

40

= 4

0 +

Rou

nd

to

the

nea

rest

th

ousa

nd

. (Le

sson

1–9

)

7.

4,80

1

8.

3,19

2

9.

6,59

2

10.

5,03

8

46, i

den

tity

46, i

den

tity

9, c

omm

uta

tive

9, c

omm

uta

tive

19, c

omm

uta

tive

19, c

omm

uta

tive

15, a

ssoc

iati

ve15

, ass

ocia

tive

0, a

ssoc

iati

ve0,

ass

ocia

tive

20, c

omm

uta

tive

20, c

omm

uta

tive

5,00

05,

000

3,00

03,

000

7,00

07,

000

5,00

05,

000

3NS2

.1, 3

AF1

.1

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Grade 3 A4 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lessons 2–1 and 2– 2)

Chapter Resources

Nam

e D

ate

Gra

de 3

13

Cha

pter

2

Som

etim

es w

hen

you

solv

e a

prob

lem

you

nee

d an

exa

ct a

nsw

er.

Oth

er t

imes

you

nee

d an

est

imat

e. D

ecid

ing

if yo

u ne

ed a

n ex

act

answ

er o

r an

est

imat

e w

ill h

elp

you

solv

e th

e pr

oble

m. L

et’s

try

an

exa

mpl

e.

In a

n ho

ur’s

tim

e, L

eah

can

mak

e 12

gre

etin

g ca

rds.

Ste

ven

can

mak

e 9

card

s in

the

sam

e am

ount

of

time.

Tog

ethe

r, ab

out

how

m

any

card

s ca

n th

ey m

ake?

Step

1U

nder

stan

d W

hat

fact

s do

you

kno

w?

• Le

ah m

akes

12

card

s in

an

hour

.•

Stev

en m

akes

9 c

ards

in a

n ho

ur.

Step

2Pl

an

D

o yo

u ne

ed a

n ex

act

answ

er t

o th

is q

uest

ion?

N

o. W

hen

you

see

abou

t, yo

u kn

ow t

hat

an

estim

ated

ans

wer

is n

eede

d.

Step

3So

lve

F

irst,

roun

d ea

ch n

umbe

r.Le

ah

12

card

s �

10

card

sSt

even

9 c

ards

� 1

0 ca

rds

Now

, add

bot

h of

you

r ro

unde

d nu

mbe

rs. T

his

will

gi

ve y

ou a

fin

al e

stim

ate.

10

+ 1

0 =

20

So, L

eah

and

Stev

en c

an m

ake

abou

t 20

gre

etin

g ca

rds

in a

n ho

ur.

Step

4C

heck

L

ook

back

at

the

prob

lem

. Sin

ce it

say

s “a

bout

ho

w m

any,

” yo

u kn

ow t

hat

mak

ing

an e

stim

ate

is

the

corr

ect

plan

. Not

ice

that

sin

ce 1

2 +

9 =

21,

yo

ur e

stim

ate

is v

ery

clos

e to

the

exa

ct a

nsw

er!

Rete

ach

Prob

lem

-Sol

ving

Ski

ll

2–2

3MR2

.5

Nam

e D

ate

Gra

de 3

12

C

hapt

er 2

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

Pat

and

Mat

t ow

n a

doug

hnut

sho

p. T

hey

have

dai

ly s

peci

als.

H

owev

er, t

hey

do n

ot a

lway

s ag

ree

on t

he o

rder

dou

ghnu

ts

shou

ld g

o in

to t

he b

oxes

. Her

e ar

e so

me

othe

r th

ings

you

sh

ould

kno

w:

Whe

n th

e da

ily s

peci

al h

as m

ore

than

13

doug

hnut

s, t

hey

use

two

boxe

s.

Pat

and

Mat

t m

ake

only

fou

r ki

nds

of d

ough

nuts

: gla

zed,

ca

ke, b

lueb

erry

, and

cre

am.

Foll

ow t

he

dir

ecti

ons

for

each

pro

ble

m.

1.

Mon

day’

s sp

ecia

l is

8 do

ughn

uts.

It is

a c

ombi

natio

n of

gl

azed

and

cak

e. P

at a

rran

ged

the

first

box

. Firs

t he

put

in f

ive

glaz

ed. H

ow m

any

cake

dou

ghnu

ts d

id h

e us

e to

fill

the

box

? C

ompl

ete

the

num

ber

sent

ence

.

5

gla

zed

+

cak

e =

8 d

ough

nuts

2.

Mat

t pu

ts t

he c

ake

doug

hnut

s in

the

box

firs

t. C

ompl

ete

the

num

ber

sent

ence

to

show

wha

t M

att

does

. The

n te

ll w

hich

pr

oper

ty y

ou u

sed.

cak

e +

g

laze

d =

8 d

ough

nuts

3.

Frid

ay is

one

of

a ki

nd d

ay. C

ompl

ete

thes

e nu

mbe

r se

nten

ces

that

sho

w h

ow a

box

will

be

fille

d w

ith e

ither

12

gla

zed

or 1

2 ca

ke d

ough

nuts

but

not

bot

h.

gla

zed

+

cak

e =

12

doug

hnut

s

cak

e +

g

laze

d =

12

doug

hnut

s

33

3355 co

mm

uta

tive

com

mu

tati

ve

121200

121200

2–1

Enri

chFi

lling

Dou

ghnu

t B

oxes

3NS2

.1, 3

AF1

.1

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An

swer

s

Grade 3 A5 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.Answers (Lesson 2– 2)

Chapter Resources

Nam

e D

ate

Gra

de 3

15

Cha

pter

2

2–2

Skill

s Pr

acti

cePr

oble

m-S

olvi

ng S

kill

Tell

wh

eth

er a

n e

stim

ate

or a

n e

xact

an

swer

is

nee

ded

. Th

en s

olve

.

1.

Cha

n is

lear

ning

abo

ut d

inos

aurs

. The

hea

d an

d bo

dy o

f C

han’

s fa

vorit

e di

nosa

ur is

36

feet

long

, and

the

tai

l is

19 f

eet

long

. In

all,

how

long

is t

he e

ntire

din

osau

r?

2.

Jasm

ine

and

Cas

ey a

re in

cha

rge

of b

ringi

ng f

ruit

for

the

clas

s pi

cnic

. The

re a

re 3

4 st

uden

ts in

the

ir cl

ass.

Jas

min

e an

d C

asey

buy

11

appl

es, 6

ora

nges

, 7 b

anan

as, a

nd 8

pea

ches

. W

ill t

here

be

enou

gh f

or e

very

one

to h

ave

one

piec

e of

fru

it?

Expl

ain.

3.

For

Exer

cise

2, u

se e

stim

atio

n to

see

whe

ther

or

not

Jasm

ine

and

Cas

ey w

ill h

ave

enou

gh f

ruit

for

the

clas

s. Is

est

imat

ion

a go

od w

ay t

o so

lve

this

pro

blem

?

4.

Ther

e ar

e 75

cha

irs a

t th

e co

ncer

t. Fo

ur c

hairs

are

bro

ken.

H

ow m

any

peop

le c

an s

it on

cha

irs a

t th

e co

ncer

t?

5.

Twen

ty-s

ix b

abie

s ar

e bo

rn e

very

day

at

the

Pine

Val

ley

Hos

pita

l. In

2 d

ays,

abo

ut h

ow m

any

babi

es w

ill b

e bo

rn

ther

e?

Exac

t an

swer

; 36

+ 1

9 =

55

feet

Exac

t an

swer

; 36

+ 1

9 =

55

feet

Exac

t an

swer

; n

o; T

hey

wou

ld o

nly

hav

e 32

, so

they

wil

l

nee

d 2

mor

e.

Exac

t an

swer

; n

o; T

hey

wou

ld o

nly

hav

e 32

, so

they

wil

l

nee

d 2

mor

e.

By

rou

nd

ing

each

nu

mb

er, t

he

sum

of

the

fru

it w

ill

be

40. T

his

is

not

a g

ood

way

to

solv

e th

e p

rob

lem

, sin

ce i

t lo

oks

like

th

ere

are

too

man

y p

iece

s of

fru

it, b

ut

real

ly

ther

e ar

e to

o fe

w.

By

rou

nd

ing

each

nu

mb

er, t

he

sum

of

the

fru

it w

ill

be

40. T

his

is

not

a g

ood

way

to

solv

e th

e p

rob

lem

, sin

ce i

t lo

oks

like

th

ere

are

too

man

y p

iece

s of

fru

it, b

ut

real

ly

ther

e ar

e to

o fe

w.

Exac

t an

swer

; 75

- 4

= 7

1 p

eop

leEx

act

answ

er;

75 -

4 =

71

peo

ple

Esti

mat

e; 3

0 +

30

= 6

0 b

abie

sEs

tim

ate;

30

+ 3

0 =

60

bab

ies

3MR2

.5

Nam

e D

ate

Gra

de 3

14

Cha

pter

2

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

Tell

wh

eth

er a

n e

stim

ate

or a

n e

xact

an

swer

is

nee

ded

. Th

en s

olve

.

1.

On

Satu

rday

, Zac

hary

’s s

iste

r w

orks

in t

he g

arde

n fo

r 2

hour

s an

d ea

rns

$5 e

very

hou

r. Fo

r m

owin

g th

e la

wn,

Zac

hary

is

paid

$12

. Who

will

ear

n m

ore

mon

ey?

2.

The

Litt

leto

n Pu

blic

Lib

rary

get

s 37

new

mag

azin

es a

nd

book

s ev

ery

wee

k. In

3 w

eeks

, abo

ut h

ow m

any

book

s an

d m

agaz

ines

will

be

rece

ived

?

3.

Last

wee

k, M

s. L

lam

as s

pent

$62

for

gas

and

$85

for

rep

airs

on

her

car

. Abo

ut h

ow m

uch

did

she

spen

d on

her

car

?

4.

Raul

cut

2 p

iece

s of

fab

ric. O

ne p

iece

was

12

inch

es lo

ng.

Anot

her

piec

e w

as 4

1 in

ches

long

. Will

Rau

l hav

e en

ough

fa

bric

for

a p

roje

ct t

hat

need

s 67

inch

es o

f fa

bric

? Ex

plai

n.

5.

Abou

t ho

w m

uch

mon

ey w

ould

Kat

ie n

eed

to b

uy t

he

follo

win

g ite

ms

at t

he g

roce

ry s

tore

?

Toy

132

¢

Toy

224

¢

Exac

t; Z

ach

ary

wil

l ea

rn m

ore

bec

ause

he

earn

ed $

12,

and

his

sis

ter

earn

ed $

10. 1

2 >

10

Exac

t; Z

ach

ary

wil

l ea

rn m

ore

bec

ause

he

earn

ed $

12,

and

his

sis

ter

earn

ed $

10. 1

2 >

10

Esti

mat

e; a

bou

t 12

0 b

ooks

an

d m

agaz

ines

Esti

mat

e; a

bou

t 12

0 b

ooks

an

d m

agaz

ines

Esti

mat

e; a

bou

t $1

50Es

tim

ate;

ab

out

$150

Exac

t; n

o; 1

2 +

41

= 5

3; 5

3 <

67

Exac

t; n

o; 1

2 +

41

= 5

3; 5

3 <

67

Esti

mat

e; 3

0¢ +

20¢

= 5

0¢Es

tim

ate;

30¢

+ 2

0¢ =

50¢

Rete

ach

Prob

lem

-Sol

ving

Ski

ll(c

ontin

ued)

2–2

3MR2

.5

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Grade 3 A6 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2– 2)

Chapter Resources

Nam

e D

ate

Gra

de 3

17

Cha

pter

2

2

67

45

3

The

sum

of

the

nu

mb

ers

in e

ach

str

aigh

t li

ne

mu

st b

e th

e sa

me.

Fin

d t

he

mis

sin

g n

um

ber

s.

1.

2.

3.

25

10

1040

25

25

4.

Expl

ain

the

stra

tegy

you

use

d to

fin

d th

e m

issi

ng n

umbe

rs.

sum

of

sid

es =

18;

mis

sin

g n

um

ber

s: l

eft

sid

e 2,

rig

ht

sid

e 6

sum

of

sid

es =

18;

mis

sin

g n

um

ber

s: l

eft

sid

e 2,

rig

ht

sid

e 6

sum

of

sid

es =

140

; m

issi

ng

nu

mb

ers:

rig

ht

sid

e 90

, bot

tom

80

sum

of

sid

es =

140

; m

issi

ng

nu

mb

ers:

rig

ht

sid

e 90

, bot

tom

80

sum

of

sid

es =

75;

mis

sin

g n

um

ber

s: l

eft

sid

e 40

, bot

tom

10

sum

of

sid

es =

75;

mis

sin

g n

um

ber

s: l

eft

sid

e 40

, bot

tom

10

An

swer

s w

ill

vary

dep

end

ing

on

the

stra

tegy

th

e st

ud

ent

use

d.

An

swer

s w

ill

vary

dep

end

ing

on

the

stra

tegy

th

e st

ud

ent

use

d.

Enri

chSt

raig

ht L

ine

Sum

s

2–2

3MR2

.5

Nam

e D

ate

Gra

de 3

16

Cha

pter

2

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

2–2

Hom

ewor

k Pr

acti

cePr

oble

m-S

olvi

ng S

kill

Tell

wh

eth

er a

n e

stim

ate

or a

n e

xact

an

swer

is

nee

ded

. Th

en s

olve

.

1.

The

prin

cipa

l of

Sydn

ey E

lem

enta

ry S

choo

l wan

ts a

t le

ast

50 s

tude

nts

to e

nter

the

Nat

iona

l Poe

try

Con

test

. In

Mr.

Ogd

en’s

cla

ss, 1

9 st

uden

ts e

nter

ed t

he c

onte

st. I

n M

iss

Lee’

s cl

ass,

9 s

tude

nts

ente

red.

Are

the

re e

noug

h st

uden

ts

ente

red?

Exp

lain

.

2.

The

Coo

pert

own

Mus

eum

of

Art

has

12 s

culp

ture

s an

d 39

pie

ces

of p

otte

ry. A

bout

how

man

y to

tal p

iece

s of

art

do

es t

he m

useu

m h

ave?

3.

At M

arta

’s s

choo

l lib

rary

, the

re a

re 1

6 sh

elve

s of

nov

els

and

21 s

helv

es o

f hi

stor

y bo

oks.

How

man

y sh

elve

s ar

e th

ere

in a

ll?

Fin

d e

ach

su

m. I

den

tify

th

e p

rop

erty

sh

own

. (Le

sson

2–1

)

4.

12+

(3+

4)

=5.

5 +

4 +

2 =

(12

+ 3

) +

4 =

5

+ 2

+ 4

=

Esti

mat

e; n

o; 2

0 +

10

= 3

0 st

ud

ents

Esti

mat

e; n

o; 2

0 +

10

= 3

0 st

ud

ents

Esti

mat

e; 1

0 +

40

= 5

0 p

iece

s of

art

Esti

mat

e; 1

0 +

40

= 5

0 p

iece

s of

art

Exac

t; 1

6 +

21

= 3

7 sh

elve

sEx

act;

16

+ 2

1 =

37

shel

ves

19, a

ssoc

iati

ve19

, ass

ocia

tive

11, c

omm

uta

tive

11, c

omm

uta

tive3M

R2.5

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An

swer

s

Grade 3 A7 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

Nam

e D

ate

Gra

de 3

18

Cha

pter

2

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

Rete

ach

Estim

ate

Sum

s

Estim

atio

n ca

n be

a v

ery

usef

ul t

ool.

The

Cor

ner

New

s St

and

sold

122

new

spap

ers

on M

onda

y an

d 94

new

spap

ers

on

Tues

day.

Abo

ut h

ow m

any

new

spap

ers

wer

e so

ld in

all?

Ro

undi

ng w

ill h

elp

you

find

the

answ

er t

o th

is p

robl

em.

Corn

er N

ews

Stan

d

Act

ual

am

oun

tR

oun

d t

o th

e n

eare

st 1

00

Mon

day

122

100

Tues

day

9410

0

Estim

ated

Tot

al20

0

Abou

t 20

0 ne

wsp

aper

s w

ere

sold

on

thes

e tw

o da

ys.

Fron

t-en

d es

timat

ion

is a

noth

er w

ay t

o fin

d an

app

roxi

mat

e su

m.

At t

he c

omm

unity

cen

ter,

36 p

eopl

e ar

e sw

imm

ing

and

54 p

eopl

e ar

e pl

ayin

g go

lf. A

bout

how

man

y pe

ople

are

the

re in

all?

Use

the

fro

nt d

igits

, and

cha

nge

the

othe

r di

gits

to

0.

36�

30

54 �

50

30+

50

= 8

0

So, t

here

are

abo

ut 8

0 pe

ople

at

the

com

mun

ity c

ente

r.

Esti

mat

e ea

ch s

um

usi

ng

rou

nd

ing.

1.

49¢

+ 2

2.

59

+ 3

2

Esti

mat

e ea

ch s

um

usi

ng

fron

t-en

d e

stim

atio

n.

3.

$77

+ $

66

4.

26

+ 5

9

50¢

+ 2

0¢ =

70¢

50

¢+

20¢

= 7

60+

30

= 9

060

+ 3

0 =

90

70+

60

= 1

3070

+ 6

0 =

130

20+

50

= 7

020

+ 5

0 =

70

2–3

3NS1

.4

Answers (Lesson 2– 3)

Chapter Resources

Nam

e D

ate

Gra

de 3

19

Cha

pter

2

Skill

s Pr

acti

ceEs

timat

e Su

ms

Esti

mat

e ea

ch s

um

usi

ng

rou

nd

ing.

1.

95+

31

2.

16

+ 1

2

3.

90+

85

4.

39

+ 7

8

5.

42+

61

6.

22

+ 8

4

Esti

mat

e ea

ch s

um

usi

ng

fron

t-en

d e

stim

atio

n

7.

50+

86

8.

47

+ 2

4

9.

98+

81

10

. 45

+ 8

5

11.2

4+

76

12

. 83

+ 3

1

Solv

e.

13.K

ayla

col

lect

s an

imal

pic

ture

s. S

o fa

r, sh

e ha

s 27

hor

se

pict

ures

and

12

pict

ures

of

bear

s. A

bout

how

man

y pi

ctur

es

does

she

hav

e no

w?

14.T

his

wee

k th

e sc

hool

sto

re s

old

39 p

enci

ls a

nd 1

2 fo

lder

s.

Abou

t ho

w m

any

penc

ils a

nd f

olde

rs d

id t

he s

choo

l sto

re s

ell

this

wee

k?100

+ 3

0 =

130

100

+ 3

0 =

130

20+

10

= 3

020

+ 1

0 =

30

90+

90

= 1

8090

+ 9

0 =

180

40+

80

= 1

2040

+ 8

0 =

120

40+

60

= 1

0040

+ 6

0 =

100

20+

80

= 1

0020

+ 8

0 =

100

50+

80

= 1

3050

+ 8

0 =

130

40+

20

= 6

040

+ 2

0 =

60

90+

80

= 1

7090

+ 8

0 =

170

40+

80

= 1

2040

+ 8

0 =

120

20+

70

= 9

020

+ 7

0 =

90

80+

30

= 1

1080

+ 3

0 =

110

30+

10

= 4

0; a

bou

t 40

pic

ture

s30

+ 1

0 =

40;

ab

out

40 p

ictu

res

40+

10

= 5

0; a

bou

t 50

pen

cils

an

d f

old

ers

40+

10

= 5

0; a

bou

t 50

pen

cils

an

d f

old

ers

2–3

3NS1

.4

13–1

4. S

amp

le e

stim

ates

are

giv

en. A

ccep

t al

l re

ason

able

an

swer

s.

Page 90: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A8 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2–3)

Chapter Resources

Nam

e D

ate

Gra

de 3

21

Cha

pter

2

2–3

Prob

lem

-Sol

ving

Pra

ctic

eEs

timat

e Su

ms

Solv

e.

1.

If Ki

ki b

uys

a di

gita

l cam

era

that

cos

ts $

73 a

nd a

boo

k th

at

cost

s $1

2, a

bout

how

muc

h w

ill s

he p

ay?

2.

Mic

helle

has

sav

ed $

11 f

rom

her

allo

wan

ce, a

nd h

er s

iste

r M

aria

has

sav

ed $

13. T

hey

wan

t to

buy

the

ir m

othe

r a

$30

pair

of e

arrin

gs f

or M

othe

rs’ D

ay. T

oget

her,

will

the

y ha

ve

enou

gh m

oney

? Ex

plai

n.

Use

th

e in

form

atio

n b

elow

for

Exe

rcis

es 3

an

d 4

.

The

Cen

terv

ille

Stor

e se

lls it

ems

for

the

follo

win

g pr

ices

:

ha

t $1

2

shirt

$1

7

3.

Usi

ng f

ront

-end

est

imat

ion,

abo

ut h

ow m

uch

will

it c

ost

if Ro

bert

buy

s a

hat

and

a sh

irt?

4.

Two

sist

ers

are

each

buy

ing

a ha

t an

d a

shirt

. Est

imat

e by

ro

undi

ng t

o fin

d ab

out

how

muc

h th

eir

item

s w

ill c

ost

in a

ll.

Ab

out

$80

Ab

out

$80

no;

Sam

ple

an

swer

: W

hen

I e

stim

ate

the

sum

, I f

ind

th

at 1

0 +

10

= 2

0. $

20 i

s n

ot

enou

gh t

o b

uy

the

earr

ings

.

no;

Sam

ple

an

swer

: W

hen

I e

stim

ate

the

sum

, I f

ind

th

at 1

0 +

10

= 2

0. $

20 i

s n

ot

enou

gh t

o b

uy

the

earr

ings

.

10+

10

= 2

0; a

bou

t $2

010

+ 1

0 =

20;

ab

out

$20

$10

+ $

20 =

$30

; $3

0 +

$30

= $

60$1

0+

$20

= $

30;

$30

+ $

30 =

$60

3NS1

.4

Nam

e D

ate

Gra

de 3

20

Cha

pter

2

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

Esti

mat

e ea

ch s

um

usi

ng

rou

nd

ing.

1.

54+

86

2.

15

+ 2

9

3.

12+

81

4.

28

+ 7

6

Esti

mat

e ea

ch s

um

usi

ng

fron

t-en

d e

stim

atio

n.

5.

46+

89

6.

38

+ 4

5

7.

12+

99

8.

Last

Sat

urda

y, 7

3 pe

ople

wor

ked

out

at t

he F

ernd

ale

Fitn

ess

Cen

ter.

On

Sund

ay, 6

5 pe

ople

wor

ked

out.

Abou

t ho

w m

any

peop

le w

ere

at t

he f

itnes

s ce

nter

on

thos

e tw

o da

ys?

Tell

wh

eth

er a

n e

stim

ate

or a

n e

xact

an

swer

is

nee

ded

. Th

en s

olve

. (Le

sson

2–2

)

9.

Filip

a w

ants

to

lear

n ka

rate

. One

mon

th o

f cl

asse

s co

sts

$55,

an

d a

kara

te s

uit

cost

s $3

5. H

ow m

uch

will

she

pay

?

10.E

very

Sun

day,

Jam

ila a

nd h

er f

amily

vis

it he

r gr

andp

aren

ts.

Then

the

y go

to

visi

t he

r au

nt. H

er f

amily

driv

es 4

9 m

iles

to

see

her

gran

dpar

ents

and

driv

es 1

7 m

ore

mile

s to

her

aun

t’s

hous

e. H

ow m

any

mile

s do

the

y dr

ive?

50+

90

= 1

4050

+ 9

0 =

140

20+

30

= 5

020

+ 3

0 =

50

10+

80

= 9

010

+ 8

0 =

90

30+

80

= 1

1030

+ 8

0 =

110

40+

80

= 1

2040

+ 8

0 =

120

30+

40

= 7

030

+ 4

0 =

70

10+

90

= 1

0010

+ 9

0 =

100

70+

70

= 1

40;

abou

t 14

0 p

eop

le70

+ 7

0 =

140

; ab

out

140

peo

ple

Exac

t an

swer

; $9

0Ex

act

answ

er;

$90

Exac

t an

swer

; 66

mil

esEx

act

answ

er;

66 m

iles

Hom

ewor

k Pr

acti

ceEs

timat

e Su

ms

2–3

3NS1

.4

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An

swer

s

Grade 3 A9 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

Chapter Resources

Nam

e D

ate

Gra

de 3

23

C

hapt

er 2

The

left

side

of

a tw

o-di

git

num

ber

tells

us

how

man

y te

ns w

e ha

ve, w

hile

the

dig

it on

the

rig

ht s

how

s ho

w m

any

ones

we

have

.

For

exam

ple,

if y

ou h

ave

34 m

arbl

es, y

ou h

ave

3 gr

oups

of

ten

mar

bles

and

4 m

arbl

es.

If a

frie

nd g

ives

you

7 m

ore

mar

bles

, you

can

add

6 o

f th

em t

o yo

ur g

roup

of

4 m

arbl

es (

4 +

6 =

10)

to

mak

e an

othe

r te

n-m

arbl

e gr

oup.

Sin

ce (

7 −

6 =

1) ,

you

will

hav

e on

e m

arbl

e le

ft ov

er. U

sing

you

r pe

ncil,

add

the

mar

bles

to

the

char

t ab

ove.

Look

ing

at t

he c

hart

, it

is e

asy

to s

ee t

hat

you

now

hav

e 41

mar

bles

.

Ad

d. C

hec

k fo

r re

ason

able

nes

s.

Rete

ach

Two-

Dig

it A

dditi

on

2–4

3NS2

.1

1.

37 +

2 =

2.

18 +

36

=

3.

41 +

6 =

4.

33 +

16

=

5.

12 +

19

=

6.

50 +

8 =

7.

52 +

9 =

8.

66 +

6 =

9.

43 +

9 =

10. 7

7 +

3 =

11. 3

4 +

7 =

12. 5

1 +

11

=

3939 5454 4747 4949 3131 5858

6161 7272 5252 8080 4141 6262

Nam

e D

ate

Gra

de 3

22

Cha

pter

2

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

2–3

Enri

chA

bout

How

Muc

h?

Ted

and

Jen

are

help

ing

thei

r te

ache

rs p

lan

a fie

ld t

rip t

o sp

ace

cam

p. T

he t

each

ers

wan

t Te

d an

d Je

n to

hel

p th

em m

ake

estim

ates

. Ted

and

Jen

hav

e di

ffere

nt w

ays

of e

stim

atin

g. T

ed

estim

ates

by

roun

ding

. Jen

mak

es f

ront

-end

est

imat

es.

1.

The

teac

hers

tol

d Te

d an

d Je

n th

at t

hey

thin

k sp

ace

cam

p w

ill c

ost

$39

for

the

stud

ents

and

$16

for

the

adu

lts. A

bout

ho

w m

uch

will

all

of t

he t

icke

ts c

ost?

Writ

e w

hat

Ted

and

Jen

wou

ld e

stim

ate.

Who

se e

stim

ate

is c

lose

r to

the

act

ual c

ost?

2.

The

stud

ents

col

lect

ed s

oda

cans

to

recy

cle

to h

elp

pay

for

the

trip

. One

cla

ss c

olle

cted

51

poun

ds o

f ca

ns. A

noth

er

clas

s co

llect

ed 3

2 po

unds

. Abo

ut h

ow m

any

poun

ds o

f ca

ns d

id t

he t

wo

clas

ses

colle

ct?

Writ

e w

hat

Ted

and

Jen

wou

ld e

stim

ate.

3.

The

stud

ents

als

o so

ld r

affle

tic

kets

to

help

pay

for

foo

d an

d bu

s co

sts

for

the

trip

. Mr.

Lin’

s cl

ass

sold

215

tic

kets

. M

rs. R

ico’

s cl

ass

sold

150

tic

kets

. Abo

ut h

ow m

any

ticke

ts d

id

the

two

clas

ses

sell?

Writ

e w

hat

Ted

and

Jen

wou

ld e

stim

ate.

4.

Are

Jen’

s es

timat

es u

sual

ly h

ighe

r, lo

wer

, or

the

sam

e as

Te

d’s

estim

ates

?

Ted

: $4

0 +

$20

= $

60;

Jen

: $3

0 +

$10

= $

40Te

d:

$40

+ $

20 =

$60

; Je

n:

$30

+ $

10 =

$40

Ted

Ted

Ted

: 50

+ 3

0 =

80;

Jen

: 50

+ 3

0 =

80

Ted

: 50

+ 3

0 =

80;

Jen

: 50

+ 3

0 =

80

Ted

: 20

0 +

200

= 4

00;

Jen

: 20

0 +

100

= 3

00Te

d:

200

+ 2

00 =

400

; Je

n:

200

+ 1

00 =

300

low

erlo

wer

3NS1

.4

Answers (Lessons 2–3 and 2– 4)

Page 92: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A10 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2– 4)

Chapter Resources

Nam

e D

ate

Gra

de 3

25

Cha

pter

2

2–4

Hom

ewor

k Pr

acti

ceTw

o-D

igit

Add

ition

Ad

d. C

hec

k fo

r re

ason

able

nes

s.

1.

32+

6

2.

44

+ 1

3

3. 1

9 +

49

4.

21+

34

5.

25

+ 3

6. 4

6 +

10

7.

3

5 8.

2

3 9.

1

4+

16

+ 6

3 +

76

51

9

0

Solv

e.

10.A

t th

e Pa

rk S

choo

l Soc

cer

Cam

p, 2

7 gi

rls a

nd 2

5 bo

ys

atte

nded

. How

man

y at

tend

ed in

all?

11.T

here

are

54

smal

l fis

h an

d 27

big

fis

h in

a p

ond.

How

man

y fis

h ar

e th

ere

alto

geth

er?

Esti

mat

e ea

ch s

um

usi

ng

rou

nd

ing.

(Le

sson

2–3

)

12.1

9+

48

13

. 22

+ 5

8

14.4

3+

46

Esti

mat

e ea

ch s

um

usi

ng

fron

t-en

d e

stim

atio

n.

15. 2

7+

24

16.9

2+

44

17.7

9+

17

38385757

6868

55552828

5656

8686

52 a

tten

ded

52 a

tten

ded

81 f

ish

81 f

ish

70708080

9090 4040 130

130

8080

3NS2

.1

Nam

e D

ate

Gra

de 3

24

C

hapt

er 2

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

Ad

d. C

hec

k fo

r re

ason

able

nes

s.

1.

32 +

12

=

2.

12

+ 1

7 =

3. 4

5 +

25

=

4.

38 +

16

=

5.

31

+ 2

2 =

6. 2

9 +

50

=

ALG

EBR

A F

ind

eac

h m

issi

ng

dig

it.

7.

72 +

2

= 9

4 8.

3

+ 3

7 =

76

9.

0 +

46

= 9

6 10

. 83

+ 3

=

121

11.

6 +

54

= 1

50

12.

5 +

27

= 8

4

13.

4 +

31

= 7

5 14

. 11

+

6 =

97

Solv

e.

15. F

or a

fam

ily p

icni

c, J

avie

r bo

ught

18

peac

hes,

and

his

sis

ter

boug

ht 2

4 ap

ples

. How

man

y pi

eces

of

frui

t di

d th

ey b

uy?

16. A

lond

ra’s

sci

ence

cla

ss p

lant

ed 2

9 zi

nnia

see

ds a

nd 3

1 m

arig

old

seed

s. W

hat i

s th

e to

tal n

umbe

r of

see

ds th

ey p

lant

ed?

44442929

7070

54545353

7979

2299

5588

9977

4488

42 p

iece

s of

fru

it42

pie

ces

of f

ruit

60 s

eed

s60

see

ds

Skill

s Pr

acti

ceTw

o-D

igit

Add

ition

2–4

3NS2

.1

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An

swer

s

Grade 3 A11 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

Chapter Resources

Nam

e D

ate

Gra

de 3

27

C

hapt

er 2

Gen

e’s

fam

ily is

vis

iting

Gre

enw

ay P

ark

for

a va

catio

n.

This

map

sho

ws

the

plac

es t

hey

can

stop

and

vis

it.It

also

sho

ws

whe

re t

hey

can

cam

p.

Visi

tors

'Ce

nter

Old

Mill

Cam

pgro

und

Look

out

Poin

t

Tabl

eRo

ckD

eer

Run

Cam

pgro

und

Park

Entr

ance

The

Cave

s

7 m

iles

4 miles

9 miles

9 miles

9 m

iles

13 miles

13 miles

17 m

iles

15 m

iles

16 m

iles

1.

The

fam

ily w

ent

to t

he V

isito

rs’ C

ente

r af

ter

ente

ring

the

park

. The

n th

ey w

ent

to D

eer

Run

Cam

pgro

und

by t

he

shor

test

rou

te. H

ow m

any

mile

s di

d th

ey t

rave

l fro

m t

he P

ark

Entr

ance

?

2.

Dur

ing

thei

r se

cond

day

in t

he p

ark,

the

y le

ft th

e ca

mpg

roun

d. T

hen

they

wen

t to

Loo

kout

Poi

nt a

fter

stop

ping

at

Tab

le R

ock.

How

man

y m

iles

did

they

tra

vel t

o ge

t to

Lo

okou

t Po

int?

3.

Whi

le t

he f

amily

was

at

Look

out

Poin

t, G

ene

said

he

wan

ted

to s

ee T

he C

aves

bef

ore

goin

g ba

ck t

o th

e ca

mpg

roun

d.

If th

ey t

rave

led

from

Loo

kout

Poi

nt t

o Th

e C

aves

by

the

shor

test

rou

te, h

ow m

any

mile

s di

d th

ey t

rave

l?

22 m

iles

22 m

iles

24 m

iles

24 m

iles

21 m

iles

21 m

iles

Enri

chM

iles

of V

acat

ion

Fun

2–4

3NS2

.1

Nam

e D

ate

Gra

de 3

26

Cha

pter

2

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

Solv

e.

1.

In t

he R

ippl

e C

reek

Zoo

, the

re a

re f

our

diffe

rent

kin

ds o

f an

imal

s. F

ill in

the

cha

rt b

elow

to

find

how

man

y th

ere

are

in

each

gro

up.

Bea

rsM

onke

ysD

eer

Snak

es6

brow

n be

ars

4 ch

impa

nzee

s7

ante

lope

s1

boa

2 po

lar

bear

s2

babo

ons

4 ga

zelle

s2

pyth

ons

86

113

2.

Add

your

sum

s fr

om E

xerc

ise

1 to

fin

d th

e to

tal n

umbe

r of

an

imal

s in

Rip

ple

Cre

ek Z

oo.

3.

Onl

y 50

peo

ple

at a

tim

e ca

n sk

ate

at B

row

n’s

Ice

Skat

ing

Rink

. The

re w

ere

alre

ady

21 p

eopl

e in

the

rin

k w

hen

37

Aubu

rn E

lem

enta

ry S

choo

l stu

dent

s ar

rived

. How

man

y pe

ople

are

now

at

the

rink?

4.

Bria

nna’

s m

othe

r to

ld h

er t

o do

50

min

utes

of

hom

ewor

k. If

sh

e do

es 1

5 m

inut

es o

f m

ath

hom

ewor

k an

d 37

min

utes

of

Engl

ish,

will

thi

s be

eno

ugh

hom

ewor

k tim

e? H

ow lo

ng h

as

Bria

nna

wor

ked?

5.

Pabl

o’s

fam

ily w

ent

on a

trip

to

the

beac

h. In

the

mor

ning

, th

ey d

rove

26

mile

s, a

nd t

hen

afte

r lu

nch

they

dro

ve a

noth

er

45 m

iles.

In a

ll, h

ow f

ar d

id t

hey

trav

el?

28 a

nim

als

28 a

nim

als

58 p

eop

le58

peo

ple

yes;

15

+ 3

7 =

52

min

ute

sye

s; 1

5 +

37

= 5

2 m

inu

tes

71 m

iles

71 m

iles

Prob

lem

-Sol

ving

Pra

ctic

eTw

o-D

igit

Add

ition

2–4

3NS2

.1

Answers (Lesson 2– 4)

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Grade 3 A12 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2– 5)

Chapter Resources

Nam

e D

ate

Gra

de 3

29

Cha

pter

2

2–5

Skill

s Pr

acti

ceA

dd M

oney

Ad

d. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

83¢

+ 1

2¢ =

2. 4

5¢ +

45¢

=

3.

$72

+ $

14 =

4. $

0.33

+ $

0.27

=

5.

$0.5

0+

$0.

01 =

6. $

0.05

+ $

0.79

=

7.

23¢

+ 2

6¢ =

8. $

30 +

$27

=

9.

$70

+ $

12 =

10.

61¢

+ 1

1¢ =

11.$

0.23

+ $

0.38

=12

. $8

4 +

$43

=

Solv

e. U

se t

he

tab

le f

or E

xerc

ises

13

and

14.

Clot

hin

g O

utl

et

Pullo

vers

$1

8

Tenn

is s

hoes

$2

5

Sock

s$4

Swim

suits

$35

13.L

alia

wan

ts t

o bu

y a

swim

suit

and

a pa

ir of

ten

nis

shoe

s.

How

muc

h w

ould

tha

t co

st?

14.J

ustin

is b

uyin

g a

pullo

ver

and

a pa

ir of

soc

ks. H

ow m

uch

will

th

ese

cost

?

15.A

lanz

o w

ants

to

buy

a ba

sket

ball

that

cos

ts $

15 a

nd a

T-s

hirt

th

at c

osts

$14

. How

muc

h w

ill h

e sp

end

in a

ll?

95¢

95¢

90¢

90¢

$86

$86

$0.6

0$0

.60

$0.5

1$0

.51

$0.8

4$0

.84

49¢

49¢

$57

$57

$82

$82

72¢

72¢

$0.6

1$0

.61

$127

$127

$60

$60

$18

+ $

4 =

$22

$18

+ $

4 =

$22

$15

+ $

14 =

$29

$15

+ $

14 =

$29

3NS2

.1, 3

NS3

.3

Nam

e D

ate

Gra

de 3

28

C

hapt

er 2

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

Whe

n yo

u ad

d ce

nts,

it is

just

like

add

ing

one-

or

two-

digi

t nu

mbe

rs, e

xcep

t th

at y

ou p

ut a

cen

t si

gn (

¢) a

fter

each

num

ber.

Addi

ng d

olla

rs is

just

the

sam

e, b

ut a

dol

lar

sign

($)

is w

ritte

n be

fore

eac

h nu

mbe

r.

Sam

anth

a op

ened

her

pig

gy b

ank

and

foun

d 75

¢ in

side

. If

she

has

8¢ in

her

poc

ket,

how

muc

h m

oney

doe

s sh

e ha

ve?

Add

75¢

+ 8

¢.

A. H

ere

is o

ne w

ay t

o fin

d th

e su

m.

1

75

¢

83

¢

B. H

ere

is a

noth

er w

ay t

o w

rite

the

prob

lem

. Use

a d

ecim

al

poin

t to

sep

arat

e do

llars

and

cen

ts. N

otic

e th

at 8

¢ is

now

w

ritte

n $0

.08,

bec

ause

the

re is

not

hing

in t

he t

enth

s (d

imes

) pl

ace.

1

$0

.75

+

$0.

08

$0

.83

Sam

anth

a ha

s a

tota

l of

83¢.

Ad

d. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

1

2.

45

¢ 3.

$

0.0

1

___

___

+ 7

___

___

+ 2

___

____

+ $

0.49

4.

$

65

5.

$15

6.

$2

8

___

___

+ $

16

___

___

+ $

23

__

___

+ $3

1

89¢

89¢

72¢

72¢

$0.5

0$0

.50

$81

$81

$38

$38

$59

$59

Rete

ach

Add

Mon

ey

2–5

3NS2

.1, 3

NS3

.3

Page 95: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

An

swer

s

Grade 3 A13 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

Chapter Resources

Nam

e D

ate

Gra

de 3

31

Cha

pter

2

2–5

Prob

lem

-Sol

ving

Pra

ctic

eA

dd M

oney

1.

Bria

n fo

und

$0.2

5 at

the

bea

ch o

n M

onda

y an

d $0

.16

on

Tues

day.

In a

ll, h

ow m

uch

mon

ey d

id h

e fin

d?

2.

Find

the

Err

or

Java

n ad

ded

$0.2

9 +

$0.

05 a

nd g

ot $

0.79

for

his

tot

al. F

ind

the

corr

ect

answ

er, a

nd e

xpla

in J

avan

’s e

rror

.

3.

For

mat

h cl

ass,

Pia

has

to

buy

a ru

ler

that

cos

ts 4

2¢ a

nd a

co

mpa

ss t

hat

cost

s 49

¢. H

ow m

uch

mon

ey w

ill s

he s

pend

?

4.

Mei

Lin

g bo

ught

din

ner

for

her

fam

ily. T

he s

pagh

etti

cost

$45

an

d th

e de

sser

t co

st $

25. H

ow m

uch

did

her

fam

ily’s

di

nner

cos

t?

5.

Ryan

is in

vitin

g fr

iend

s to

his

par

ty. T

he f

ood

will

cos

t $6

3 an

d th

e de

cora

tions

will

cos

t $1

7. H

ow m

uch

will

he

spen

d al

toge

ther

?

6.

Mel

ons

cost

$2

each

. If

Mon

ica

buys

3 m

elon

s an

d $2

8 w

orth

of

sea

food

, how

muc

h w

ill s

he p

ay?

$0.2

5+

$0.

16 =

$0.

41$0

.25

+ $

0.16

= $

0.41

$0.3

4; H

e sh

ould

hav

e ad

ded

9 +

5

on t

he

righ

t si

de.

$0.3

4; H

e sh

ould

hav

e ad

ded

9 +

5

on t

he

righ

t si

de.

91¢

91¢

$45

+ $

25 =

$70

$45

+ $

25 =

$70

$63

+ $

17 =

$80

$63

+ $

17 =

$80

$2+

$2

+ $

2 =

$6;

$6

+ $

28 =

$34

$2+

$2

+ $

2 =

$6;

$6

+ $

28 =

$343N

S2.1

, 3N

S3.3

Nam

e D

ate

Gra

de 3

30

Cha

pter

2

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

Ad

d. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

41¢

+ 1

8¢ =

2.

$12

+ $

79 =

3.

$0.0

8+

$0.

76 =

4.

$0.

39 +

$0.

50 =

5.

$68

+ $

8 =

6.

$21

+ $

33 =

7.

$13

+ $

78 =

8.

$34

+ $

17 =

9.

$46

+ $

89 =

10

. $0

.15

+ $

0.75

=

11.A

nna

has

$15.

If s

he b

uys

a bo

ok t

hat

cost

s $9

and

a p

oste

r co

stin

g $4

, how

muc

h m

oney

will

she

hav

e le

ft?

12.I

f Yo

land

a bu

ys a

birt

hday

car

d fo

r 36

¢ an

d a

than

k-yo

u ca

rd

for

46¢,

wha

t w

ill s

he p

ay in

all?

Ad

d. C

hec

k fo

r re

ason

able

nes

s. (

Less

on 2

–4)

13.5

5+

32

14

. 19

+ 2

9

15.6

5+

25

16

. 16

+ 2

5

17.

41

18

.

25

19.

3

4+

9

+ 7

+

8

50

32

42

20.

47

21.

7

6 22

.

29

+ 1

5 +

15

+ 4

6

62

9

1

75

59¢

59¢

$91

$91

$0.8

4$0

.84

$0.8

9$0

.89

$76

$76

$54

$54

$91

$91

$51

$51

$135

$135

$0.9

0$0

.90

$2$2 82¢

82¢

87874848

90904141

Hom

ewor

k Pr

acti

ceA

dd M

oney

2–5

3NS2

.1, 3

NS3

.3

Answers (Lesson 2– 5)

Page 96: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A14 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lessons 2– 5 and 2– 6)

Chapter Resources

Nam

e D

ate

Gra

de 3

33

Cha

pter

2

The

book

shel

f at

Sar

ah’s

hou

se h

as 3

she

lves

. Eac

h sh

elf

can

hold

15

book

s. S

arah

has

17

book

s. E

d ha

s 19

boo

ks. J

en h

as

10 b

ooks

. Will

all

of t

heir

book

s fit

on

the

book

shel

f?

Ther

e is

a lo

t to

org

aniz

e an

d un

ders

tand

in t

his

prob

lem

. Use

a f

our-

step

pla

n.

Step

1U

nder

stan

d

You

know

how

man

y bo

oks

each

of

the

3 sh

elve

s w

ill h

old,

an

d ho

w m

any

book

s ea

ch p

erso

n ha

s.

Step

2Pl

an

Ther

e is

a lo

t of

info

rmat

ion,

so

mak

e a

tabl

e.

Step

3So

lve

Shel

fB

ooks

on

Sh

elf

Boo

ks l

eft

over

?Sp

ace

on

shel

f?

Shel

f 1

(Sar

ah)

152

no

Shel

f 2

(Ed)

154

no

Shel

f 3

(Jen

)10

0ye

s—fo

r 5

book

s

Sara

h ha

s 2

book

s le

ft ov

er a

nd E

d ha

s 4

book

s le

ft ov

er.

2+

4 =

6

Ther

e is

roo

m f

or 5

boo

ks o

n Je

n’s

shel

f. Si

nce

6 is

gre

ater

tha

n 5,

all

of t

heir

book

s w

ill n

ot f

it.

Step

4C

heck

Look

bac

k at

the

pro

blem

.

3MR1

.1Re

teac

hPr

oble

m-S

olvi

ng In

vest

igat

ion

2–6

Nam

e D

ate

Gra

de 3

32

C

hapt

er 2

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

2–5

Enri

chM

yste

ry M

oney

Rea

d t

he

clu

es f

or e

ach

pro

ble

m. T

ell

wh

at e

ach

coi

n i

s w

orth

by

wri

tin

g th

e am

oun

t on

a c

ircl

e. T

hen

ad

d t

he

valu

e of

th

e co

ins.

If

the

tota

l is

99

cen

ts o

r le

ss, u

se a

cen

t si

gn

(¢).

If t

he

valu

e is

mor

e th

an 9

9 ce

nts

, use

a $

an

d a

dec

imal

p

oin

t. F

or e

xam

ple

, if

the

tota

l is

34

cen

ts w

rite

34¢

; if

th

e to

tal

is 1

34 c

ents

, wri

te $

1.34

for

1 d

olla

r an

d 3

4 ce

nts

.

1.

Pete

col

lect

s di

mes

, nic

kels

, and

pen

nies

. He

has

twic

e as

m

any

nick

els

as d

imes

. He

has

4 m

ore

penn

ies

than

nic

kels

. H

ow m

uch

mon

ey d

oes

Pete

hav

e?

10

5

5

1

1

1

1

1

1 =

2.

Mis

ty h

as e

ight

coi

ns. O

ne is

a q

uart

er. T

he r

est

are

penn

ies,

ni

ckel

s, a

nd d

imes

. She

has

tw

ice

as m

any

nick

els

as p

enni

es.

She

has

twic

e as

man

y pe

nnie

s as

qua

rter

s. H

ow m

uch

mon

ey d

oes

she

have

?

25

10

1

1

5

5

5

5 =

3.

Tyro

ne h

as s

ix c

oins

tha

t to

tal 6

0¢. H

is c

oin

with

the

gre

ates

t va

lue

is a

qua

rter

. His

coi

n w

ith t

he le

ast

valu

e is

a n

icke

l. Th

ree

of h

is c

oins

hav

e th

e sa

me

valu

e. W

hat

are

the

valu

es

of h

is c

oins

?

25

5

5

5

10

10 =

26¢

26¢

57¢

57¢

60¢

60¢

3NS2

.1, 3

NS3

.3

Page 97: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

An

swer

s

Grade 3 A15 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.

Chapter Resources

Nam

e D

ate

Gra

de 3

35

Cha

pter

2

Solv

e.

1.

Del

mar

’s s

choo

l has

col

lect

ed m

oney

for

cha

rity.

The

y co

llect

ed $

47 f

rom

Mrs

. Joh

nson

’s c

lass

and

$52

fro

m M

r. Ki

ng’s

cla

ss. H

ow m

uch

mon

ey d

o th

ey h

ave

in a

ll?

2.

For

Gar

rett

’s b

irthd

ay p

arty

, he

is b

ringi

ng 2

bag

s of

coo

kies

to

sch

ool.

Each

bag

con

tain

s 24

coo

kies

. How

man

y co

okie

s ar

e th

ere

in a

ll?

3.

Bill

has

$0.

34 in

his

poc

ket.

Aman

da h

as $

0.54

in h

er p

ocke

t. An

app

le c

osts

$0.

85. I

f th

ey c

ombi

ne t

heir

mon

ey, c

an t

hey

buy

the

appl

e to

sha

re?

Expl

ain.

4.

In o

ne a

quar

ium

, the

re a

re 2

2 m

inno

ws.

In a

noth

er

aqua

rium

, the

re a

re 2

7 sn

ails

. Abo

ut h

ow m

any

pond

an

imal

s ar

e th

ere?$4

7+

$52

= $

99$4

7+

$52

= $

99

24+

24

= 4

824

+ 2

4 =

48

yes;

$0.

34 +

$0.

54 =

$0.

88;

$0.8

8>

$0.

85ye

s; $

0.34

+ $

0.54

= $

0.88

; $0

.88

> $

0.85

20+

30

= 5

0 p

ond

an

imal

s20

+ 3

0 =

50

pon

d a

nim

als

2–6

Skill

s Pr

acti

cePr

oble

m-S

olvi

ng In

vest

igat

ion

3MR1

.1

Nam

e D

ate

Gra

de 3

34

Cha

pter

2

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

15+

15

+ 1

5 =

, s

o b

ooks

can

fit

on t

he

book

shel

f.

17+

19

+ 1

0 =

. S

ince

46

> 4

5, o

ne b

ook

will

be

left

over

.

Solv

e.

1.

Stud

ents

wer

e gr

owin

g pl

ants

in s

cien

ce c

lass

. So

far,

4 pl

ants

hav

e flo

wer

ed: 2

pla

nts

have

3 f

low

ers

each

, and

2 pl

ants

hav

e 6

flow

ers

each

. Fin

d th

e to

tal n

umbe

r of

flo

wer

s.

2.

Ever

y ye

ar, D

anie

l’s m

othe

r vo

lunt

eers

abo

ut 2

45 h

ours

in

the

hosp

ital.

In 2

yea

rs, a

bout

how

man

y ho

urs

of v

olun

teer

w

ork

will

she

do?

3.

Ther

e ar

e 15

car

ds in

one

box

and

64

card

s in

ano

ther

box

. H

ow m

any

card

s ar

e th

ere

in a

ll?

4.

Ther

e ar

e 31

stu

dent

s in

Mis

s St

rom

’s c

lass

and

27

stud

ents

in

Mis

s W

ilson

’s c

lass

. Abo

ut h

ow m

any

stud

ents

are

the

re

in a

ll?

45454545

4646

18 f

low

ers

18 f

low

ers

Sam

ple

an

swer

: 20

0 +

200

= 4

00 h

ours

Sam

ple

an

swer

: 20

0 +

200

= 4

00 h

ours

15+

64

= 7

9 ca

rds

15+

64

= 7

9 ca

rds

30+

30

= 6

0 st

ud

ents

30+

30

= 6

0 st

ud

ents

Rete

ach

Prob

lem

-Sol

ving

Inve

stig

atio

n (c

ontin

ued)

2–6

3MR1

.1

Answers (Lesson 2– 6)

Page 98: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A16 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2– 6)

Chapter Resources

Nam

e D

ate

Gra

de 3

37

Cha

pter

2

A pa

lindr

ome

num

ber

is o

ne t

hat

read

s th

e sa

me

forw

ard

and

back

war

d. F

or e

xam

ple,

171

is a

pal

indr

ome.

→ 1

71

171

For

each

pro

ble

m, r

ever

se t

he

dig

its

of t

he

give

n n

um

ber

. A

dd

th

e re

vers

ed n

um

ber

to

the

give

n n

um

ber

. Ch

eck

the

sum

. If

it i

s a

pal

ind

rom

e, c

ircl

e th

e su

m a

nd

sto

p. I

f it

is

not

a p

alin

dro

me,

kee

p a

dd

ing

reve

rsed

nu

mb

ers

un

til

you

ge

t a

pal

ind

rom

e n

um

ber

.

Exam

ple

: 75

+ 5

7 =

132

; 13

2 +

231

= 3

63

1.

58

2.

77

3.

497

4.

Wha

t w

ould

hap

pen

if yo

u tr

ied

to s

ubtr

act

rath

er t

han

add

num

bers

tha

t w

ere

the

reve

rse

of t

he g

iven

num

bers

? D

o yo

u th

ink

you

wou

ld e

ver

get

to a

pal

indr

ome

answ

er?

Why

?

58+

85

= 1

43, 1

43 +

341

= 4

84;

484

shou

ld

be

circ

led

58+

85

= 1

43, 1

43 +

341

= 4

84;

484

shou

ld

be

circ

led

77+

77

= 1

54;

154

+ 4

51 =

605

;60

5+

506

= 1

111;

111

1 sh

ould

be

circ

led

77+

77

= 1

54;

154

+ 4

51 =

605

;60

5+

506

= 1

111;

111

1 sh

ould

be

circ

led

497

+ 7

94 =

1,2

91; 1

,291

+ 1

921

= 3

,212

; 3,

212

+ 2

,123

= 5

,335

; 5,

335

shou

ld b

e ci

rcle

d49

7+

794

= 1

,291

; 1,2

91 +

192

1 =

3,2

12;

3,21

2+

2,1

23 =

5,3

35;

5,33

5 sh

ould

be

circ

led

answ

ers

wil

l va

ry;

acce

pt

reas

onab

le a

nsw

ers;

sa

mp

le a

nsw

er:

you

wou

ld a

lway

s h

ave

to p

ut

wh

ich

ever

nu

mb

er i

s la

rger

on

th

e to

p;

yes,

I t

ried

it

wit

h a

nu

mb

er a

nd

fin

ally

got

to

99;

for

exam

ple

I

star

ted

wit

h 5

68 a

nd

su

btr

acte

d t

hat

fro

m 8

56. I

got

29

7 th

en s

ub

trac

ted

th

at f

rom

792

; N

ext

I go

t 49

5 an

d s

ub

trac

ted

th

at f

rom

594

an

d g

ot 9

9

answ

ers

wil

l va

ry;

acce

pt

reas

onab

le a

nsw

ers;

sa

mp

le a

nsw

er:

you

wou

ld a

lway

s h

ave

to p

ut

wh

ich

ever

nu

mb

er i

s la

rger

on

th

e to

p;

yes,

I t

ried

it

wit

h a

nu

mb

er a

nd

fin

ally

got

to

99;

for

exam

ple

I

star

ted

wit

h 5

68 a

nd

su

btr

acte

d t

hat

fro

m 8

56. I

got

29

7 th

en s

ub

trac

ted

th

at f

rom

792

; N

ext

I go

t 49

5 an

d s

ub

trac

ted

th

at f

rom

594

an

d g

ot 9

9

2–6

Enri

chPa

lindr

ome

Add

ition

3MR1

.1

Nam

e D

ate

Gra

de 3

36

Cha

pter

2

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

Use

th

e fo

ur-

step

pla

n t

o so

lve

each

pro

ble

m.

1.

Erne

sto’

s fr

iend

live

s 7

bloc

ks a

way

fro

m h

is h

ouse

. On

Satu

rday

mor

ning

, Ern

esto

rod

e hi

s bi

ke t

o hi

s fr

iend

’s h

ouse

an

d ro

de b

ack

hom

e la

ter

on. I

n th

e af

tern

oon,

he

rode

to

his

frie

nd’s

hou

se a

gain

, and

late

r on

he

rode

bac

k ho

me.

In

all,

how

man

y bl

ocks

did

he

ride?

2.

Mrs

. She

lley’

s cl

ass

is r

eadi

ng T

heLi

on, t

he W

itch,

and

the

W

ardr

obe.

If t

hey

read

16

page

s ev

ery

wee

k, h

ow m

any

page

s ca

n th

ey r

ead

in 2

wee

ks?

3.

At a

dan

ce r

ecita

l, ba

llet

danc

ers

perf

orm

ed f

or 1

9 m

inut

es

and

mod

ern

danc

ers

perf

orm

ed f

or 2

4 m

inut

es. A

bout

how

lo

ng w

as t

he r

ecita

l?

4.

Al v

isits

his

gra

ndpa

rent

s ev

ery

sum

mer

. Al’s

mot

her

driv

es

him

16

mile

s to

the

bus

sta

tion.

Al t

rave

ls 7

5 m

iles

on t

he

bus

to h

is g

rand

pare

nt’s

hou

se. H

ow m

any

mile

s do

es h

e tr

avel

in a

ll?

Ad

d. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

(Le

sson

2–5

)

5.

46¢

+ 3

7.

12¢

+ 7

6.

$55

+ $

13

8.

$28

+ $

48

28 b

lock

s28

blo

cks

32 p

ages

32 p

ages

abou

t 40

min

ute

sab

out

40 m

inu

tes

91 m

iles

91 m

iles

81¢

81¢

89¢

89¢

$68

$68

$76

$76

Hom

ewor

k Pr

acti

cePr

oble

m-S

olvi

ng In

vest

igat

ion

2–6

3MR1

.1

Page 99: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

An

swer

s

Grade 3 A17 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.Answers (Lesson 2– 7)

Chapter Resources

Nam

e D

ate

Gra

de 3

39

Cha

pter

2

Fin

d e

ach

su

m. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

$5.7

5+

$1.

85

2.

49

+ 1

3

3. 3

42 +

208

Solv

e.

4.

661

+ 9

9

5.

$7.7

8+

$7.

16

6.

144

+ 6

7

7.

711

+ 1

93

8.

682

+ 3

9

9.

For

a PT

A m

eetin

g at

the

Par

kval

e El

emen

tary

Sch

ool,

the

prin

cipa

l has

ord

ered

215

muf

fins

and

155

bage

ls. H

ow

man

y m

uffin

s an

d ba

gels

wer

e th

ere

in a

ll?

10.I

n Fe

brua

ry, L

ucin

da r

ead

a bo

ok t

hat

was

98

page

s lo

ng. I

n M

arch

, she

rea

d a

book

tha

t w

as 1

24 p

ages

long

. How

man

y pa

ges

did

she

read

in F

ebru

ary

and

Mar

ch?

11.M

irand

a’s

sunf

low

er p

lant

s gr

ew 2

7 in

ches

in t

he f

irst

mon

th

and

37 in

ches

the

sec

ond

mon

th. H

ow t

all w

ere

Mira

nda’

s su

nflo

wer

s af

ter

two

mon

ths?

$7.6

0$7

.60

626255

055

0

760

760 $1

4.94

$14.

94

211

211

904

904

721

721

370

mu

ffin

s an

d b

agel

s37

0 m

uff

ins

and

bag

els

222

pag

es22

2 p

ages

64 i

nch

es64

in

ches

2–7

Skill

s Pr

acti

ceTh

ree-

Dig

it A

dditi

on

3NS2

.1, 3

NS3

.3

Nam

e D

ate

Gra

de 3

38

Cha

pter

2

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

2–7

Rete

ach

Thre

e-D

igit

Add

ition

3NS2

.1, 3

NS3

.3

You

can

use

mod

els

to a

dd.

Add

267

+ 4

6.

Step

1

Add

the

ones

. Reg

roup

if

nece

ssar

y.

1

267

Thi

nk: 1

3 on

es =

____

_ +

46

1 t

en, 3

one

s

Step

2

Add

the

tens

. Reg

roup

if

nece

ssar

y.

11

267

Thi

nk: 1

1 te

ns =

____

_ +

46

1 h

undr

ed, 1

ten

Step

3

Add

the

hund

reds

. Reg

roup

if

nece

ssar

y.

11

267

Th

ink:

1 h

undr

ed +

____

_ +

46

2

hund

reds

=

3 hu

ndre

ds

Fin

d e

ach

su

m. U

se m

odel

s to

hel

p.

331313

313

313

1.

146

____

_+

29

2.

473

____

_+

55

11

175

175

528

528

3.

24

5

____

_+

128

4.

18

2

____

_+

275

373

373

457

457

Page 100: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A18 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2– 7)

Chapter Resources

Nam

e D

ate

Gra

de 3

41

Cha

pter

2

Fin

d e

ach

su

m. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

Last

wee

k, S

teph

anie

cle

aned

her

roo

m f

or a

tot

al o

f 12

5 m

inut

es a

nd s

he w

ater

ed t

he g

arde

n fo

r 18

min

utes

. H

ow lo

ng d

id s

he w

ork?

2.

The

Alle

ns a

re r

edec

orat

ing

thei

r liv

ing

room

. A n

ew r

ug w

ill

cost

$24

9 an

d a

new

sof

a w

ill c

ost

$540

. How

muc

h w

ill t

he

rug

and

the

sofa

cos

t al

toge

ther

?

3.

Meg

an’s

old

er s

iste

r go

es t

o a

colle

ge t

hat

is 1

97 m

iles

from

ho

me.

She

com

es h

ome

once

a m

onth

. How

man

y m

iles

does

she

tra

vel c

omin

g ho

me

and

goin

g ba

ck t

o co

llege

?

4.

Mrs

. Lew

is b

ough

t 2

rose

bush

es f

or h

er g

arde

n. O

ne c

ost

$6.2

5 an

d on

e co

st $

3.35

. Wha

t w

as t

he t

otal

cos

t?

5.

A lo

ng-d

ista

nce

phon

e ca

ll to

Ger

man

y co

sts

$4.9

5 fo

r 15

min

utes

. Thi

s w

eek,

Jen

s ca

lled

his

fam

ily in

Ger

man

y tw

ice

and

talk

ed 1

5 m

inut

es e

ach

time.

How

muc

h di

d bo

th

phon

e ca

lls c

ost?

6.

Anw

ar w

ants

to

begi

n co

llect

ing

mar

bles

. He

deci

des

he

wou

ld li

ke 3

15 b

lue

mar

bles

and

15

gree

n m

arbl

es. H

ow

man

y m

arbl

es d

oes

Anw

ar w

ant

in a

ll?

143

min

ute

s14

3 m

inu

tes

$789

$789

394

mil

es39

4 m

iles

$9.6

0$9

.60

$9.9

0$9

.90

330

mar

ble

s33

0 m

arb

les

Prob

lem

-Sol

ving

Pra

ctic

eTh

ree-

Dig

it A

dditi

on

2–7

3NS2

.1, 3

NS3

.3

Nam

e D

ate

Gra

de 3

40

Cha

pter

2

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

Fin

d e

ach

su

m. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

$3.5

1+

$4.

65

2.

29+

66

3.

$4.4

5+

$3.

18

4.

653

+ 2

84

5.

178

+ 9

9

6.

$6.5

2+

$1.

39

Use

th

e fo

ur-

step

pla

n t

o so

lve

each

pro

ble

m. (

Less

on 2

–6)

7.

Kevi

n’s

fam

ily b

ough

t 2

pizz

as t

hat

cost

$12

eac

h. H

ow m

uch

did

thes

e ite

ms

cost

alto

geth

er?

8.

A ca

nary

cos

ts $

89, a

nd a

bird

cage

cos

ts $

82. A

bout

how

m

uch

do t

he b

ird a

nd c

age

cost

alto

geth

er?

9.

A tr

uck

is d

eliv

erin

g fr

esh

vege

tabl

es t

o th

e Sp

ringf

ield

G

roce

ry S

tore

. Sta

rtin

g fr

om B

eals

tow

n, it

goe

s 27

mile

s no

rth

to B

entle

y, a

nd t

hen

goes

39

mile

s w

est

to S

prin

gfie

ld. H

ow

man

y m

iles

is t

he e

ntire

trip

to

Sprin

gfie

ld?

$8.1

6$8

.16

9595

$7.6

3$7

.63

937

937

277

277 $7

.91

$7.9

1

$24

$24

abou

t $1

70ab

out

$170

66 m

iles

66 m

iles

2–7

Hom

ewor

k Pr

acti

ceTh

ree-

Dig

it A

dditi

on

3NS2

.1, 3

NS3

.3

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An

swer

s

Grade 3 A19 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

on o

f T

he M

cGra

w-H

ill C

ompa

nies

, In

c.Answers (Lessons 2–7 and 2– 8)

Chapter Resources

Nam

e D

ate

Gra

de 3

43

Cha

pter

2

Addi

ng t

wo-

and

thr

ee-d

igit

num

bers

is ju

st li

ke a

ddin

g fo

ur-d

igit

num

bers

.

Read

the

pro

blem

.O

ne m

ile is

equ

al t

o 5,

280

feet

. Hun

ter

wen

t on

a n

atur

e hi

ke.

Firs

t, he

hik

ed o

ne m

ile, a

nd t

hen

he h

iked

ano

ther

1,3

23 f

eet.

How

man

y fe

et d

id h

e hi

ke?

One

way

to

find

the

sum

is b

y re

grou

ping

. Firs

t, es

timat

e to

the

ne

ares

t th

ousa

nd.

5

,280

+ 1

,323

=

Now

, fin

d th

e ex

act

answ

er.

5,00

05,

000

1,00

01,

000

6,00

06,

000

2–8

Rete

ach

Add

Gre

ater

Num

bers

3NS2

.1, 3

NS3

.3

Step

1

Add

the

ones

.0

+ 3

=

Step

2

Add

the

tens

.8

+ 2

=

Regr

oup

as a

hu

ndre

d.

Step

3

Add

the

hund

reds

.[ 1

]+

2 +

3

=

Step

4

Add

the

thou

sand

s 5

+ 1

=

So, H

unte

r hi

ked

fee

t on

th

e na

ture

hik

e.

331010

6666

6,60

36,

603

Fin

d e

ach

su

m. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

349

+ 1

,223

2. $

48.2

8 +

$31

.84

3.

At C

liffs

ide

Park

, the

re a

re 1

21 m

aple

tre

es a

nd 3

82 o

ak

tree

s. H

ow m

any

tree

s ar

e in

the

par

k?

1,57

21,

572

$80.

12$8

0.12

503

tree

s50

3 tr

ees

Nam

e D

ate

Gra

de 3

42

Cha

pter

2

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

Jean

, Ped

ro, a

nd B

etsy

bel

ong

to a

sta

mp

colle

ctin

g cl

ub. C

lub

mem

bers

mus

t ha

ve a

t le

ast

225

stam

ps t

o jo

in. J

erra

d is

thi

nkin

g ab

out

join

ing

and

is w

aitin

g fo

r an

ord

er o

f ne

w s

tam

ps t

o ar

rive.

Th

e ch

art

show

s ho

w m

any

stam

ps e

ach

club

mem

ber

has.

2–7

Enri

chSt

amp

Col

lect

ing

3NS2

.1, 3

NS3

.3

1.

Find

a t

otal

num

ber

of s

tam

ps

for

the

thre

e m

embe

rs. F

irst,

add

Jean

’s a

nd P

edro

’s. T

hen

add

thei

r to

tal t

o B

etsy

’s. H

ow m

any

stam

ps

do t

he c

urre

nt m

embe

rs h

ave

all

toge

ther

?

Stam

psCo

llect

edSt

amp

Colle

ctor

Jean

Pedr

o

Bet

sy

Jerr

ad

352

496

247

Show

how

you

wou

ld a

dd u

sing

reg

roup

ing.

2.

Bet

sy o

rder

ed 1

59 m

ore

stam

ps. A

fter

her

ord

er a

rriv

es, w

ill

she

have

mor

e or

less

sta

mps

tha

n Je

an?

3.

Supp

ose

Jerr

ad h

as 1

36 m

ore

stam

ps t

han

Pedr

o. W

rite

a nu

mbe

r se

nten

ce t

hat

show

s ho

w m

any

stam

ps J

erra

d ha

s no

w.

Whi

ch c

olum

ns n

eede

d re

grou

ping

to

solv

e th

e pr

oble

m?

352

+ 4

96 =

848

; w

ork

shou

ld s

how

reg

rou

pin

g 84

8 +

247

= 1

,095

; w

ork

shou

ld s

how

reg

rou

pin

g 1,

095

352

+ 4

96 =

848

; w

ork

shou

ld s

how

reg

rou

pin

g 84

8 +

247

= 1

,095

; w

ork

shou

ld s

how

reg

rou

pin

g 1,

095

247

+ 1

59 =

406

; w

ork

shou

ld s

how

reg

rou

pin

g;

stu

den

ts m

igh

t al

so w

rite

406

> 3

52;

Bet

sy w

ill

hav

e m

ore

than

Jea

n.

247

+ 1

59 =

406

; w

ork

shou

ld s

how

reg

rou

pin

g;

stu

den

ts m

igh

t al

so w

rite

406

> 3

52;

Bet

sy w

ill

hav

e m

ore

than

Jea

n.

496

+ 1

36 =

632

496

+ 1

36 =

632

the

ones

an

d t

he

ten

sth

e on

es a

nd

th

e te

ns

Page 102: Chapter 2 Resource Masters - MHSchoolmhschool.com/math/2009/ca/teacher/crm/grade3/3crmca02.pdf · Chapter 2 Game ... mathematics study notebooks. Anticipation Guide (page 6) ... Leveled

Grade 3 A20 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Lesson 2– 8)

Chapter Resources

Nam

e D

ate

Gra

de 3

45

Cha

pter

2

Hom

ewor

k Pr

acti

ceA

dd G

reat

er N

umbe

rs

2–8

Fin

d e

ach

su

m. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

1.

4,09

1+

238

=

2.

$50

.45

+ $

49.9

9 =

3.

356

+ 1

,209

=

4.

$44

.63

+ $

72.1

0 =

5.

$39.

12+

$23

.67

=

6.

2,0

88 +

346

=

7.

$74.

16+

$24

.18

=

8.

$45

.02

+ $

54.2

0 =

9.

3,86

6+

727

=

10.C

ourt

ney

is h

avin

g a

tea

part

y. S

he b

ough

t a

teap

ot f

or

$25.

35 a

nd c

ooki

es f

or $

6.15

. How

muc

h m

oney

did

sh

e sp

end?

11.E

lizab

eth

wen

t to

the

cra

ft st

ore

to p

urch

ase

supp

lies

to

mak

e a

scra

pboo

k. S

he b

ough

t so

me

stam

ps f

or $

19.9

9 an

d be

ads

for

$10.

45. H

ow m

uch

mon

ey d

id s

he s

pend

?

Fin

d e

ach

su

m. U

se e

stim

atio

n t

o ch

eck

for

reas

onab

len

ess.

(Le

sson

2–7

)

12.7

08+

221

=

13

. 57

8 +

333

=

14.9

81+

602

=

15

. 13

2 +

78

=

4,32

94,

329

$100

.44

$100

.44

1,56

51,

565

$116

.73

$116

.73

$62.

79$6

2.79

2,43

42,

434

$98.

34$9

8.34

$99.

22$9

9.22

4,59

34,

593 $3

1.50

$31.

50

$30.

44$3

0.44

929

929

911

911

1,58

31,

583

210

210

3NS2

.1, 3

NS3

.3

Nam

e D

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44

Cha

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2

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

Skill

s Pr

acti

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dd G

reat

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2–8

Fin

d e

ach

su

m. U

se e

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1.

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Solv

e

11.I

n a

surv

ey, s

tude

nts

wer

e as

ked

whi

ch jo

b th

ey w

ould

pr

efer

. The

se w

ere

the

resu

lts:

Scie

ntis

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295

Writ

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Estim

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how

man

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artic

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the

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12.R

ache

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in a

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ace.

She

bou

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or $

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for

$42.

93. H

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she

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13.L

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e cl

eane

d hi

s ro

om f

or 3

,120

min

utes

and

m

owed

the

law

n fo

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5 m

inut

es. H

ow lo

ng d

id h

e w

ork?

6,23

66,

236

1,00

91,

009

$85.

05$8

5.05

2,02

62,

026

1,74

71,

747

2,12

22,

122

$56.

12$5

6.12

$23.

96$2

3.96

1,93

81,

938

8,53

58,

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Sam

ple

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swer

: 1,

000

+ 9

0 =

1,0

90 s

tud

ents

Sam

ple

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: 1,

000

+ 9

0 =

1,0

90 s

tud

ents

$72.

06$7

2.06

3,12

0+

305

= 3

,425

min

ute

s3,

120

+ 3

05 =

3,4

25 m

inu

tes

3NS2

.1, 3

NS3

.3

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An

swer

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Grade 3 A21 Chapter 2

Cop

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46

Cha

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2

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

Solv

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Trav

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Lee’

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wo

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She

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hat

was

the

tot

al c

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vaca

tion

pack

ages

?

3.

Car

los

paid

$39

.97

for

a ba

t an

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0.12

for

his

uni

form

. How

m

uch

did

he p

ay?

4.

Paul

ita b

ough

t je

wel

ry w

hen

she

wen

t to

New

Mex

ico.

She

bo

ught

a b

eade

d ne

ckla

ce t

hat

cost

$23

.56

and

a br

acel

et

that

cos

t $1

4.99

. Wha

t w

as t

he t

otal

pric

e sh

e pa

id?

5.

Last

yea

r, M

r. La

ndry

wor

ked

2,08

0 ho

urs.

Thi

s ye

ar, h

e w

orke

d 2,

404

hour

s. H

ow m

any

hour

s di

d he

wor

k in

all?

$6,4

91$6

,491

$4,4

97$4

,497

$120

.09

$120

.09

$38.

55$3

8.55

4,48

4 h

ours

4,48

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2–8

Prob

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Pra

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3NS2

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Chapter Resources

Nam

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C

hapt

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Use

th

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um

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s b

elow

to

com

ple

te t

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Mag

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rid

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e n

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s in

eac

h r

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nd

in

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mu

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dd

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nu

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Answers (Lesson 2– 8)

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Grade 3 A22 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Answers (Vocabulary Test and Oral Assessment)

Nam

e D

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Gra

de 3

56

C

hapt

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

Arr

ange

a s

elec

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of

smal

l ob

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s. I

ncl

ud

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of e

ach

ob

ject

. Rea

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ach

qu

esti

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lou

d t

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e st

ud

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Th

en w

rite

th

e st

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ent’

s an

swer

s on

th

e li

nes

bel

ow t

he

qu

esti

on.

1.

How

man

y ob

ject

s do

we

have

?

2.

If I c

ombi

ne t

hese

fiv

e ob

ject

s w

ith t

hese

thr

ee o

bjec

ts, h

ow

man

y ob

ject

s w

ill I

have

?

3.

How

man

y w

ill I

have

if I

add

two

mor

e ob

ject

s?

4.

Tell

how

you

got

you

r an

swer

.

5.

If w

e ta

ke t

wo

away

, how

man

y w

ill w

e ha

ve le

ft?

6.

Tell

how

you

got

you

r an

swer

.

7.

If I b

uy a

drin

k fo

r $1

.50

and

a sa

ndw

ich

for

$2.5

0, h

ow

muc

h m

oney

will

I sp

end?

answ

ers

wil

l va

ryan

swer

s w

ill

vary

8 ob

ject

s8

obje

cts

10 o

bje

cts

10 o

bje

cts

8 +

2 =

10

8 +

2 =

10

8 ob

ject

s8

obje

cts

10 -

2 =

810

- 2

= 8

$4.0

0$4

.00

Ora

l Ass

essm

ent

2N

ame

Dat

e

Gra

de 3

55

C

hapt

er 2

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

Usi

ng

the

wor

d b

ank

bel

ow, c

omp

lete

eac

h s

ente

nce

b

y w

riti

ng

the

corr

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wor

d o

r w

ord

s in

th

e b

lan

k.

Asso

ciat

ive

Prop

erty

of

Addi

tion

Com

mut

ativ

e Pr

oper

ty o

f Ad

ditio

n

cent

s si

gn (

¢)

fron

t-en

d es

timat

ion

deci

mal

poi

nt

dolla

r si

gn (

$)

estim

ate

su

m

Iden

tity

Prop

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Addi

tion

regr

oup

1.

The

sta

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that

gro

upin

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e ad

dend

s do

es

not

chan

ge t

he s

um.

2.

To f

ind

an a

nsw

er t

hat

is c

lose

to

the

exac

t an

swer

, yo

u .

3.

The

goe

s be

fore

the

cen

ts.

4.

The

sta

tes

that

the

ord

er in

whi

ch t

he

num

bers

are

add

ed d

oes

not

chan

ge t

he s

um.

5.

The

goe

s be

fore

the

sum

of

dolla

rs.

6.

The

sta

tes

that

the

sum

of

any

num

ber

and

zero

is t

he n

umbe

r.

7.

Whe

n yo

u ad

d tw

o nu

mbe

rs, y

ou f

ind

the

.

8.

In

you

add

the

fro

nt-d

igits

of

the

num

ber.

9.

Whe

n yo

u y

ou r

enam

e a

num

ber

usin

g pl

ace

valu

e.

10. T

he

goe

s af

ter

the

sum

of

cent

s.

Voca

bula

ry T

est

2

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Ass

ocia

tive

P

rop

erty

of

Ad

dit

ion

Ass

ocia

tive

P

rop

erty

of

Ad

dit

ion

esti

mat

ees

tim

ate

dec

imal

p

oin

td

ecim

al

poi

nt

Com

mu

tati

ve

Pro

per

ty o

f A

dd

itio

n

Com

mu

tati

ve

Pro

per

ty o

f A

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itio

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dol

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sign

($)

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sign

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P

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Ad

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tity

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Ad

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sum

sum

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( ¢)

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An

swer

s

Grade 3 A23 Chapter 2

Cop

yrig

ht ©

Mac

mill

an/M

cGra

w-H

ill,

a di

visi

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c.

Name Date

Ass

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Grade 3 57 Chapter 2

Cop

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c.

Oral Assessment (continued)2

8. Where do we place the dollar sign?

9. Where do we place the decimal point?

10. Do we place a cents sign on the amount?

11. Why or why not?

12. If I buy two apples for $0.30, how much money did I spend?

13. How many ways can we write this amount?

14. Tell how you got your answer.

to the left of the dollar amountto the left of the dollar amount

between the dollar amount and cent amountbetween the dollar amount and cent amount

nono

answers will varyanswers will vary

$0.60$0.60

We can write this amount two ways.We can write this amount two ways.

we can write $0.60 or 60¢we can write $0.60 or 60¢

Answers (Oral Assessment)

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Grade 3 A24 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

commutativecommutative

regroupingregrouping

estimationestimation

88

1111

1111

88

1515

4040

2020

5050

8080

43 cups43 cups

moremore

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

identity, 4identity, 4

commutative, 5commutative, 5

associative, 11associative, 11

No, 49No, 49

Yes, 91Yes, 91

Exact answer; Yes, she only needs $2.94

Exact answer; Yes, she only needs $2.94

Estimate; About 50 magazines

Estimate; About 50 magazines

646646

$6.05$6.05

$38.38$38.38

7,7777,777

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

59, identity59, identity

11, commutative

11, commutative

20, associative

20, associative

130130

9090

8080

8080

7070

100100

14 toys14 toys

63 colors63 colors

About $40About $40

Chapter 2 Assessment Answer KeyChapter Diagnostic Assessment Chapter Pretest Quiz 1 (2–1 through 2–3)

Page 49 Page 50 Page 51

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An

swer

s

Grade 3 A25 Chapter 2

Cop

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ht ©

Mac

mill

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c.Chapter 2 Assessment Answer Key

Quiz 2 (2–4 through 2–6) Quiz 3 (2–7 through 2–8) Mid-Chapter ReviewPage 52 Page 53 Page 54

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

5151

3939

90¢90¢

$0.72$0.72

$80$80

$35$35

37 students, four-step

plan

37 students, four-step

plan

$70, four-step plan$70, four-step plan

98 students, four-step plan98 students,

four-step plan

About $120, four-step planAbout $120,

four-step plan

$22; four-step plan$22; four-step plan

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

$7.11$7.11

$70$70

9797

1,0201,020

$1,014$1,014

91¢91¢

6,9876,987

8,1188,118

$98.71$98.71

$85.26$85.26

$154.43$154.43

$9.14$9.14

234 miles234 miles

$95$95

1.

2.

3.

4.

5.

6.

7.

8.

9.

16, identity16, identity

19, associative

19, associative

11, commutative

11, commutative

No, 99No, 99

Yes, 41Yes, 41

98¢98¢

$0.85$0.85

BB

HH

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(continued on the next page)

Grade 3 A26 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Chapter 2 Assessment Answer KeyChapter Test Form 1 Chapter Test Form 2APage 60 Page 61 Page 62

1.

2.

3.

4.

5.

6.

7.

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An

swer

s

Grade 3 A27 Chapter 2

Chapter 2 Assessment Answer KeyChapter Test Form 2A Chapter Test Form 2B Page 63 Page 64 Page 65

8.

9.

10.

11.

12.

13.

14.

15.

JJ

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(continued on the next page)

Grade 3 A28 Chapter 2

Copyright ©

Macm

illan/McG

raw-H

ill, a division of The M

cGraw

-Hill C

ompanies, Inc.

Chapter 2 Assessment Answer KeyChapter Test Form 2C Chapter Test Form 2DPage 66 Page 67 Page 68

1.

2.

3.

4.

5.

6.

7.

8.

9.

No, 41No, 41

Yes, 20

Yes, 20

36, identity36, identity

13, associative13, associative

22

$0.82$0.82

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61¢61¢

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12.

13.

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15.

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18.

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About 50About 50

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2.

3.

4.

5.

6.

7.

8.

9.

10.

36, identity36, identity

13, associative13, associative

22

No, 41No, 41

Yes, 20Yes, 20

$0.82$0.82

$80$80

61¢61¢

4545

$85.59$85.59

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An

swer

s

Grade 3 A29 Chapter 2

Cop

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c.Chapter 2 Assessment Answer Key

Chapter Test Form 2D Chapter Test Form 3Page 69 Page 70 Page 71

11.

12.

13.

14.

15.

16.

17.

18.

19.

$61.61$61.61

9090

7070

8282

$88$88

About 80About 80

About 50About 50

331331

$9.10$9.10

1.

2.

3.

4.

5.

6.

7.

8.

$0.82$0.82

$80$80

61¢61¢

36, identity36, identity

13, associative13, associative

No, 41No, 41

Yes, 20Yes, 20

22

9.

10.

11.

12.

13.

14.

15.

16.

17.

9090

7070

4545

$85.59$85.59

$61.61$61.61

331331

$9.10$9.10

134 minutes

134 minutes

$88$88

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Grade 3 A30 Chapter 2

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Chapter 2 Assessment Answer KeyPage 72, Extended-Response Test

Scoring Rubric

Level Specific Criteria

4 The student demonstrates a thorough understanding of the mathematics concepts and/or procedures embodied in the task. The student has responded correctly to the task, used mathematically sound procedures, and provided clear and complete explanations and interpretations. The response may contain minor flaws that do not detract from the demonstration of a thorough understanding.

3 The student demonstrates an understanding of the mathematics concepts and/or procedures embodied in the task. The student’s response to the task is essentially correct with the mathematical procedures used and the explanations and interpretations provided demonstrating an essential but less than thorough understanding. The response may contain minor errors that reflect inattentive execution of the mathematical procedures or indications of some misunderstanding of the underlying mathematics concepts and/or procedures.

2 The student has demonstrated only a partial understanding of the mathematics concepts and/or procedures embodied in the task. Although the student may have used the correct approach to obtaining a solution or may have provided a correct solution, the student’s work lacks an essential understanding of the underlying mathematical concepts. The response contains errors related to misunderstanding important aspects of the task, misuse of mathematical procedures, or faulty interpretations of results.

1 The student has demonstrated a very limited understanding of the mathematics concepts and/or procedures embodied in the task. The student’s response to the task is incomplete and exhibits many flaws. Although the student has addressed some of the conditions of the task, the student reached an inadequate conclusion and/or provided reasoning that was faulty or incomplete. The response exhibits many errors or may be incomplete.

0 The student has provided a completely incorrect solution or uninterpretable response, or no response at all.

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Grade 3 A31 Chapter 2

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c.Chapter 2 Assessment Answer Key

Page 72, Extended-Response TestSample Answers

In addition to the scoring rubric found on page A30, the following sample answers may be used as guidance in evaluating open-ended assessment items. 1. Addition is when you add two or more numbers together.

a. The Commutative Property of Addition states that the order in which the numbers are added does not change the sum.

Example: 4 + 6 = 10 and 6 + 4 = 10.

b. The Identity Property of Addition states that the sum of any number and zero is the number.

Example: 4 + 0 = 4 and 7 + 0 = 7.

c. The Associative Property of Addition states that grouping the addends does not change the sum.

Example: (9 + 2) + 3 = 14 and 9 + (2 + 3) = 14.

2. $5.55

a. $2.95

b. $4

c. $6.95

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Grade 3 A32 Chapter 2

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Chapter 2 Assessment Answer KeyCumulative Standardized Test Practice Page 75 Page 76

1.

2.

3.

4.

5.

6.

BB

GG

CC

HH

CC

HH

7.

8.

9.

10.

11.

12.

13.

14.

15.

DD

JJ

CC6060

three thousand four hundred fifty

three thousand four hundred fifty

7,0007,000

300 + 20 + 2300 + 20 + 2

825825

200 + 70 = 270 seeds; Sample

estimates given. Accept all reasonable

estimates.