Chapter 1 Resource Masters - Macmillan/McGraw-Hill

Copyright © by the McGraw-Hill Companies, Inc. All rights reserved. Permission is granted to reproduce the material contained herein on the condition that such materials be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with California Mathematics program. Any other reproduction, for sale or other use, is expressly prohibited. Send all inquiries to: Macmillan/McGraw-Hill 8787 Orion Place Columbus, OH 43240 ISBN: 978-0-02-105816-7 MHID: 0-02-105816-4 Printed in the United States of America 4 5 6 7 8 9 10 ROV 18 17 16 15 14 13 12 11 10

ii

Grade 3 Chapter 1 Table of Contents Teacher’s Guide to Using Chapter 1 Resources ..........................................iv Chapter 1 Graphic Organizer ................................... 1 Student Glossary .......................................................... 2 Family Letter ................................................................ 4 Family Letter Spanish ................................................. 5 Chapter 1 Anticipation Guide .................................. 6 Chapter 1 Game .......................................................... 7

Lesson 1–1 Number Patterns Reteach ........................................................................... 8 Skills Practice ................................................................ 9 Homework Practice .................................................10 Problem-Solving Practice ........................................11 Enrich.............................................................................12

Skills Practice ..............................................................34 Homework Practice .................................................35 Problem-Solving Practice ........................................36 Enrich.............................................................................37

Lesson 1–7 Order Numbers Reteach .........................................................................38 Skills Practice ..............................................................39 Homework Practice .................................................40 Problem-Solving Practice ........................................41 Enrich.............................................................................42

Lesson 1–8 Round to the Nearest Ten and Hundred

Lesson 1–2 Problem-Solving Strategy: Use the Four-Step Plan

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

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

Lesson 1–9 Round to the Nearest Thousand

Lesson 1–3 Place Value Through 1,000 Reteach .........................................................................18 Skills Practice ..............................................................19 Homework Practice .................................................20 Problem-Solving Practice ........................................21 Enrich.............................................................................22

Lesson 1–4 Place Value Through 10,000 Reteach .........................................................................23 Skills Practice ..............................................................24 Homework Practice .................................................25 Problem-Solving Practice ........................................26 Enrich.............................................................................27

Lesson 1–5 Problem-Solving Investigation: Use the Four-Step Plan Reteach .........................................................................28 Skills Practice ..............................................................30 Homework Practice .................................................31 Enrich.............................................................................32

Lesson 1–6 Compare Numbers Reteach .........................................................................33

Reteach .........................................................................48 Skills Practice ..............................................................49 Homework Practice .................................................50 Problem-Solving Practice ........................................51 Enrich.............................................................................52

Chapter Tests: Inventory Placement Test .......................................53 Individual Progress Checklist ................................55 Chapter Diagnostic Assessment ...........................56 Chapter Pretest ..........................................................57 Quiz 1 ..........................................................................58 Quiz 2 ..........................................................................59 Quiz 3 ..........................................................................60 Mid-Chapter Review .................................................61 Vocabulary Test ..........................................................62 Oral Assessment ........................................................63 Chapter Project Rubric .............................................65 Foldables Rubric ........................................................66 Test Form 1 .................................................................67 Test Form 2A ...............................................................69 Test Form 2B...............................................................71 Test Form 2C...............................................................73 Test Form 2D ..............................................................75 Test Form 3 .................................................................77 Extended-Response Test .........................................79 Student Recording Sheet ....................................80 Cumulative Standardized Test Practice..............................................................81 Answer Pages ...........................................................A1

iii

Teacher’s Guide to Using the Chapter 1 Resource Masters The Chapter 1 Resource Masters includes the core materials needed for Chapter 1. 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. Edition. The Reteach worksheet closes with computational practice of the concept.

Chapter Resources Graphic 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.

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.

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 1–1. Remind them to add these pages to their mathematics study notebooks.

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

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.

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 problemsolving 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

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

Resources for Computational Lessons Reteach 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

iv

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.

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.

Assessment Options The assessment masters in the Chapter 1 Resource Masters offer a wide variety of assessment tools for monitoring progress as well as final assessment.

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.

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.

Leveled Chapter Tests • Form 1 assesses basic chapter concepts through multiple-choice questions. • Form 2A 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.

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

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

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.

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

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.

• Form 3 is a free-response test written for above-level students. • Extended-Response Test is an extended response test for on-level students.

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

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

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.

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

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.

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.

Date

Graphic Organizer Chapter Resources

1

Name

Use this graphic organizer to take notes on Chapter 1: Place Value and Number Sense. What I Want to Know

What I Learned

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

What I Know

Grade 3

1

Chapter 1

1

Name

Date

Student-Built Glossary

This is an alphabetical list of new vocabulary terms you will learn in Chapter 1: Place Value and Number Sense. 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 Term

Page

Definition/Description/Example

expanded form

is equal to


is greater than

is less than

pattern

Grade 3

2

Chapter 1

Date

Student-Built Glossary

(continued) Chapter Resources

1

Name

place value

round


standard form

word form

Grade 3

3

Chapter 1

1

Name

Date

Family Letter

Dear Family, umber nd Number alue and lace Value N 1:: Place aChapter V started P Today my1 class Sense I will be learning to find patterns in numbers and to read, write, Sense. and identify place value of numbers through ten thousands. Here are my vocabulary words and an activity that we can do together. Love, ______________________

Key Vocabulary pattern A sequence of numbers, figures, or symbols that follows a rule or design. Example: 2, 4, 6, 8, 10 place value The value given to a digit by its place in a number. In 349 the 3 is in the hundreds place and has a value of 300. is equal to Having the same value

any small f o 0 5 t u o ab Assemble the house d n u o r a e v ha ons, items you r clips, butt e p a p , s s. ie (penn put 3 item , w o r t s r fi etc.). In the ew row for n h c a e to s any Add 2 item sk: How m A . s w o r l a sever row? in the next o g l il w s item w? What is o n k u o y o Ask: How d ke turns arranging ? Ta the pattern ns. new patter in s m e it the

Books to Read: How Many Snails by Paul Giganti, Jr. The King’s Commissioner by Aileen Freidman 17 Kings and 42 Elephants by Margaret Mahy Grade 3

4

Chapter 1


round To change the value of a number to one that is easier to work with. 27 rounded to the nearest ten is 30.

Activity

Name

Estimada familia: Hoy mi clase comenzó el Capítulo 1: El valor de posición y el sentido numérico. Aprenderé a encontrar patrones en los números y a leer, a escribir y a identificar el valor de posición de los números hasta las centenas de millar. A continuación, están mis palabras de vocabulario y una actividad que podemos hacer juntos. Cariños, ___________________

Vocabulario clave patrón Sucesión de números, figuras o símbolos que sigue una regla o un diseño. Ejemplo: 2, 4, 6, 8, 10

Actividad

valor de posición El valor de un dígito según su lugar en el número. Ejemplo: En 5,349 el 3 está en el lugar de las centenas y tiene un valor de 300. es igual a Que tiene el mismo valor redondear Cambiar el valor de un número por uno con el que es más fácil trabajar. Ejemplo: 27 redondeado a la décima más cercana es 30.

r e cualquie d 0 5 e d a rc que Reúnan ce pequeños s to je b o e as de tipo d sa (moned a c la n e n n tenga .). Coloque tc e , s e n to o . 1¢, clips, b primera fila la n e s to a fila 3 obje tos por cad je b o 2 n . a Añad varias filas e d o g r la n nueva a lo objetos irá s to n á u C ¿ : Pregunten regunten: P ? la fi te n en la siguie mos? ¿Cuál es el abe ar ¿Cómo lo s ra acomod a p e s n e n r os patrón? Tú ones nuev tr a p n e s los objeto

Libros recomendados: How Many Snails de Paul Giganti, Jr. The King’s Commissioner de Aileen Freidman 17 Kings and 42 Elephants de Margaret Mahy Grade Grade 3 3

5

5

Chapter Chapter 1 1

Chapter Resources

Date

Name

1

Date

Anticipation Guide Place Value and Number Sense STEP 1

Before you begin Chapter 1

• 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 1 A, D, or NS

Statement

STEP 2 A or D

1. Number patterns can be found anywhere. 2. Using a diagram can be a valuable way to solve a problem. 3. If a digit 3 is in the thousands place, its value is 300. 4. The sign < means “is less than.” Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5. You can use a number line to round. 6. A pattern is a series of numbers or figures that follow a rule. 7. If the digit 7 is in the ten thousands place, its value is 70,000. 8. When you move to the left on a number line, the numbers get larger. STEP 2

After you complete Chapter 1

• 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. Grade 3

6

Chapter 1

1

Name

Date

Game Chapter Resources

WHO HAS THE GREATER NUMBER?

You will need: 23 index cards Markers

Write 2 sets of the digits 0 through 9 on the index cards, 1 digit per card. On the 3 remaining cards, draw the symbols >, , , , 2

more tens 8>7

346 285 279 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Since there are no more numbers to compare you do not need to compare the ones.

Step 3 Put the amounts in order from greatest to least.

Order the numbers from least to greatest. 1. 3,456

3,565

3,446

2. 1,606

1,609

1,669

3. 8,009

8,909

8,099

Order the numbers from greatest to least. 4. 6,589

6,879

6,599

5. 5,668

5,887

5,688

6. 3,033

3,003

3,330

Grade 3

38

Chapter 1

1–7

Name

Date

Skills Practice

3NS1.2 Chapter Resources

Order Numbers Order the numbers from greatest to least. 1. 822; 1,304; 877 2. 6,423; 3,654; 6,236 3. 8,000; 8,001; 8,100 4. 3,343; 3,453; 4,352 5. 9,019; 9,110; 9,919 6. 5,909; 9,509; 5,919 7. 1,564; 1,643; 1,765


8. 2,443; 4,324; 2,344

Order the numbers from least to greatest. 9. 1,879; 1,289; 1,978 10. 5,103; 5,310; 1,531 11. 6,445; 6,544; 4,655 12. 4,455; 5,444; 4,545 13. 7,776; 7,667; 6,776 14. 3,990; 3,997; 3,799 15. 2,220; 2,202; 2,022 16. 2,993; 9,239; 2,393

Grade 3

39

Chapter 1

1–7

Name

Date

Homework Practice

3NS1.2

Order Numbers Order the numbers from greatest to least. 1. 5,668; 5,886; 8,585 2. 5,660; 6,550; 6,560 3. 6,432; 4,634; 4,346 4. 7,701; 7,101; 7,001 Order the numbers from least to greatest. 5. 9,544; 9,455; 9,564 6. 7,878; 7,087; 7,778 7. 3,553; 3,335; 3,355

Compare. Write >, Chapter 1

1–8

Name

Date

3NS1.4

Reteach

Chapter Resources

Round to the Nearest 10 and 100 You can use a number line to help you round numbers. Round 448 to the nearest ten and to the nearest hundred. 448

400 410 420 430 440 450 460 470 480 490 500

448 is closer to 450 than to 440. To the nearest ten, 448 rounds to 450. 448 is closer to 400 than to 500. To the nearest hundred, 448 rounds to 400.


Round each number to the nearest ten and nearest hundred. Use a number line to help you. 1. 166

ten

hundred 166

100 110 120 130 140 150 160 170 180 190 200

2. 709

ten

hundred

3. 185

ten

hundred

4. 234

ten

hundred

5. 561

ten

hundred

6. 478

ten

hundred

Grade 3

43

Chapter 1

Name

1–8

Date

Skills Practice

3NS1.4

Round to the Nearest 10 and 100 Round to the nearest ten. 1. 37

2. 17

3. 388

4. 68

5. 243

6. 566

7. 59

8. 254

9. 934

Round to the nearest hundred. 10. 218

11. 343

12. 5,617

13. 532

14. 777

15. 1,855

16. 715

17. 1,233

18. 5,787

Find the missing digit to make the sentence true. 19. 6

23. 9

, 524 rounds to 8,000. 3 rounds to 940.

20. 2 22. 4,5 24. 3

8 rounds to 250. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

21.

8 rounds to 630.

3 rounds to 4,600. 5 rounds to 370.

Solve. 25. Carlos has 37 CDs in his music collection. To the nearest ten, how many CDs does Carlos own?

26. Nathan scored 2,349 points playing a video game. To the nearest hundred, how many points did he score?

Grade 3

44

Chapter 1

1–8

Name

Date

Homework Practice


Round to the Nearest 10 and 100 Round to the nearest ten. 1. 56

2. 588

3. 444

4. 648

5. 506

6. 409

Round to the nearest hundred. 7. 569

8. 1,413

9. 2,978

10. 915

11. 5,533

12. 1,119

Order the numbers from least to greatest. (Lesson 1-7)


13. 5,688; 5,866; 5,668 14. 4,209; 4,029; 4,299 15. 6,877; 6,788; 7,899 16. 3,362; 3,382; 3,128 Order the numbers from greatest to least. 17. 5,551; 5,051; 5,105 18. 3,225; 2,335; 3,235 19. 9,876; 9,879; 9,987 20. 1,027; 1,207; 1,072 21. 8,600; 8,006; 8,060 22. 7,474; 7,447; 7,744 Grade 3

45

Chapter 1

1–8

Name

Date

Problem-Solving Practice

3NS1.4

Round to the Nearest 10 and 100 Solve. 1. It takes Juan 13 minutes to walk to the store near his home. About how many minutes does it take to the nearest ten?

2. Garrett’s dog weighs 48 pounds. About how much does the dog weigh to the nearest ten?

3. There are 509 televisions at Sam’s Electronics. There are 449 cables. To the nearest hundred, how many televisions are there? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

To the nearest hundred, how many cables are there?

4. The U.S. Bank Tower in Los Angeles is 1,017 feet tall. How tall is it to the nearest hundred feet?

5. Which three-digit numbers round to 500 when rounded to the nearest hundred, and also round to 460 when rounded to the nearest ten?

Grade 3

46

Chapter 1

1–8

Name

Date

Enrich


Up or Down Use the digits in each box to help answer the questions. Do not use the same digit more than once in a number.

3

4

50 6

5

1. Write four two-digit numbers that can be rounded to the number in the balloon. ,

,

,


100

0

1

3

5

7

9

2. Write two two-digit numbers and one three-digit number that can be rounded to the number in the balloon. ,

,

700

0

6

7

9

3. Write six three-digit numbers that can be rounded to the number in the balloon. , Grade 3

,

,

,

,

47

Chapter 1

Name

1–9

Date

Reteach

3NS1.4

Round to the Nearest 1,000 Use a place-value chart to help you round numbers. Round 7,485 to the nearest thousand. Thousands Hundreds

7

4

Tens

Ones

8

5

To round to the nearest thousand, look at the hundreds place. The number of hundreds is less than 5. Round down to 7,000. Round to the nearest thousand. 1.

Thousands Hundreds

5

2.

Thousands Hundreds

Thousands Hundreds

1

4.

0

9

Thousands Hundreds

4

5

Ones

3

4

Tens

Ones

4

8

Tens

Ones

1

6

Tens

Ones

2

0

5. 2,466

6. 2,335

7. 1,290

8. 7,022

9. 6,690

10. 7,988

11. 4,703

12. 5,824

13. 3,915

14. 9,152

15. 8,619

16. 6,397

Grade 3

48


3

3.

8

Tens

Chapter 1

1–9

Name

Date

Skills Practice


Round to the Nearest 1,000 Round to the nearest thousand. 1. 1,600

4. 5,790

7. 38,288

2. 5,689

5. 4,560

8. 5,604

3. 3,334

6. 15,699

9. 2,298

Use data from the table for problems 10–13.


Road Trips Trips

Distance

Trip A

2,925 mi

Trip B

1,730 mi

Trip C

2,598 mi

Trip D

3,407 mi

10. What is the distance of Trip D rounded to the nearest thousand?

11. Which trip has a distance of about 2,000 miles?

12. What is the distance of Trip C rounded to the nearest thousand?

13. What is the distance of Trip C rounded to the nearest hundred?

Grade 3

49

Chapter 1

1–9

Name

Date

Homework Practice

3NS1.4

Round to the Nearest 1,000 Round to the nearest thousand. 1. 4,569

2. 1,284

3. 8,877

4. 3,569

5. 8,440

6. 2,899

Solve. 7. Luis and his family flew 1,487 miles last summer while on vacation. Rounded to the nearest thousand, how many miles did they fly?

8. Miles bought a lawn mower that cost $3,556. To the nearest thousand, how much did the lawn mower cost? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Round to the nearest ten. (Lesson 1-8) 9. 54

10. 323

11. 578

12. 143

13. 193

14. 566

Round to the nearest hundred. 15. 2,349

16. 3,441

17. 3,219

18. 677

19. 5,788

20. 8,892

21. 155

22. 4,975

23. 6,864

Grade 3

50

Chapter 1

1–9

Name

Date



Round to the Nearest 1,000 Solve. 1. The Hanson’s new refrigerator cost $1,085. How much did the refrigerator cost to the nearest thousand dollars?

2. The distance from Los Angeles to St. Louis is 1,845 miles. What is the distance between the cities to the nearest thousand miles?


3. The Morrisons paid $9,825 to have their house remodeled. The Wongs paid $400 less. How much to the nearest thousand dollars did the Wongs pay?

4. Hector lives in a city with a population of 8,702 people. What is the city’s population to the nearest thousand?

5. The top-selling toy for 2005 had sales of 4,229. To the nearest thousand, about how many toys were sold in 2005?

6. The Garcias bought a pool for $7,567. What is the price rounded to the nearest thousand?

Grade 3

51

Chapter 1

1–9

Name

Date

Enrich

3NS1.4

Planet Puzzles The diameter of a planet is the distance of a line from one point on the surface to another point on the surface that goes through the middle of the planet. Use the clues to help you find the diameter of each planet. 1. Earth • The diameter is between 5,000 and 8,000. • 926 are the last digits in this number. • The number is bigger than 7,000. How many miles is it? What is this number rounded to the nearest thousand? 2. Mercury • The number is between 1,000 and 4,000. • The last two digits are 32. • There is a zero in the hundreds place. What is the diameter? What is the number rounded to the nearest thousand? 3. Mars • When rounded this number is half of the rounded number for the Earth. • There is a 4 in the thousands place. • The sum of its digits is 14. • There is a 7 in the ones place. • The digit in the hundreds place is two less than the digit in the thousands place. What is the diameter? What is the number rounded to the nearest thousand? Grade 3

52

Chapter 1


• The number is bigger than 2,999 but less than 3,500.

1

Name

Date

Inventory/Placement Test

1. There are 11 people in line. Roberta is fifth. How many people are behind Roberta?

1.

2. Estimate 31 + 22.

2. Assessment

Read each question carefully. Write the correct answer on the line.

3. Which does not belong to the fact family? A. 5 + 6 = 11 B. 6 + 5 = 11

C. 11 - 6 = 5 D. 10 - 5 + 5

3.

Compare. Write < , >, or = . 4. Compare. 87 78

11 12 1 2 10 3 9 4 8 7 6 5

5. What time do the clocks show? F. 8:17 G. 8:07

H. 7:17 J. 4:40

817

4.

5.

6. How much money is shown?

A. 33¢ B. 32¢

6.

C. 23¢ D. 35¢

7. What part is shaded? 1 F. _

2 1 _ G. 3

3 H. _

7.

C. 160 D. 250

8.

4 1 _ J. 4

8. 677 - 517 A. 150 B. 140 Grade 3

53

Chapter 1

1

Name

Date

Inventory/Placement Test

(continued)

9. What is 700 - 400? F. 500 G. 400

H. 300 J. 200

10. The Pipers went pepper picking. How many more peppers did Penny pick than Peter? A. 4 peppers B. 3 peppers

C. 2 peppers D. 1 pepper

11. 564 + 232 F. 799 G. 789

9. Peppers Picked by the Pipers Peter

Penny

Patsy

10.

Paul

Perry

H. 796 J. 765

11.

12. Name the three-dimensional figure. C. rectangular prism D. cone

12.


A. cube B. cylinder

13. Which shape has three sides? F. pentagon G. square

H. triangle J. parallelogram

13.

C. 123 D. 213

14.

14. 34 + 13 + 56 A. 103 B. 113

15. How many pints are in a quart? F. 1 pint G. 2 pints

H. 3 pints J. 4 pints

15.

16. What subtraction fact is related to 5 + 3 = 8? A. 8 - 3 = 5 B. 5 - 8 = 3

Grade 3

C. 3 - 8 = 5 D. 11 - 8 = 5

16. 54

Chapter 1

Name

1

B

Date

Individual Progress Checklist

D

M

Goal

Progress

find patterns in numbers

Assessment

read, write, and identify place value of whole numbers through ten thousands compare numbers through ten thousands order numbers through ten thousands using a number line and place value round numbers to the nearest ten round numbers to the nearest hundred


round numbers to the nearest thousand

Notes

Grade 3

55

Chapter 1

1

Name

Date

Chapter Diagnostic Assessment

What is the next number in the pattern? 1. 3, 5, 7, 9,

1.

2. 15, 20, 25, 30,

2.

3. 50, 40, 30, 20,

3.

4. 12, 14, 16, 18,

4.

Write the number for the words. 5. six

5.

6. thirteen

6.

7. one hundred seventy

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

8. two thousand, two hundred three

8.

Name the number of tens and ones in the following numbers. 9. 13

9.

10. 43

10.

11. 78

11.

12. 56

12.

Grade 3

56

Chapter 1

1

Name

Date

Chapter Pretest

1. 14, 16, 18,

1.

2. 45, 50, 55,

2.

3. 67, 65, 63,

3.

4. 111, 115, 119,

4.

Assessment

Find the missing number.


Write the place of each underlined digit. 5. 56

5.

6. 343

6.

7. 13,980

7.

Compare. Write >, , means

2. An example of a(n)

.

could be: 4, 6, 8, 10.

2.

3.

4. The value given to a digit by its place in a number is called .

4.

5. When we , we change the value of a number to one that is easier to work with.

5.

6. The usual way of writing numbers that shows only . its digits, not words, is called

6.

7. The symbol < means

.

7.

8. The symbol = means

.

8.

Grade 3

62


3. One thousand thirty-five is an example of writing a number in .

Chapter 1

1

Name

Date

Oral Assessment

Write the numbers listed below on index cards. On a separate piece of paper, show students a place-value chart. 367

4,956

Assessment

Read each question aloud to the student. Then write the student’s answers on the lines below the question. Show the student the index card with 367 written on it. Ask: 1. What is this number in word form?


2. Using the place-value chart to help you, which digit in 367 is in the ones place?

3. In this number, 3 has what place value?

Show the student the index card with 4,956 written on it. Ask: 4. What is this number written in word form?

5. Using the place-value chart to help you, which digit in 4,956 is in the hundreds place?

6. Which digit is in the thousands place?

7. In this number, 6 has what place value?

Grade 3

63

Chapter 1

1

Name

Oral Assessment

Date (continued)

8. What happens when you write a number in word form?

9. What happens when you write a number in expanded form?

10. Why does it sometimes help to round a number?


11. In a number like 4,578, explain the value of each number.

12. What would 512 be rounded to the nearest 10?

13. What would 512 be rounded to the nearest 100?

Grade 3

64

Chapter 1

Name

1

Date

Chapter Project Rubric

Score 3

Explanation Student successfully completed the chapter project.

2

Assessment

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

Grade 3

65

Chapter 1

Name

1

Date

Foldables Rubric

Place Value and Number Sense Pocket Chart Foldables Score 3

Explanation 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.

1


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

Grade 3

66

Chapter 1

1

Name

Date

Chapter Test, Form 1

Read each question carefully. Write your answer on the line. What is the missing number?

A. 26 2. 3, 6, 9, F. 10

, 32 B. 28

C. 30

D. 34

1.

G. 12

H. 13

J. 14

2.

Assessment

1. 16, 20, 24,

, 15

What is the number in standard form? 3. 2 thousands, 1 hundred, 7 ones A. 2,017

B. 2,107

C. 2,117

D. 2,170

3.

H. 8,060

J. 8,160

4.

4. eight thousand sixteen F. 8,006

G. 8,016

What is the number in expanded form? 5. 5,680 A. 5,000 + 600 + 8 B. 5,000 + 600 + 1 + 8

C. 5,000 + 600 + 10 + 8 D. 5,000 + 600 + 80

5.

H. 2,000 + 900 + 1 J. 2,000 + 900 + 10

6.

6. 2,091 F. 2,000 + 90 + 1 G. 2,000 + 90 + 10

What is the value of the 3 in the number? 7. 20,387 A. 3,000

B. 300

C. 30

G. 3,000

H. 300

D. 3

7.

8. 43,006 F. 30,000 Grade 3

67

J. 30

8. Chapter 1

1

Name

Date


(continued)

9. 64,239 A. 3,000

B. 300

C. 30

D. 3

9.

Order the numbers from least to greatest. 10. 4,620; 997; 3,502 F. 3,502; 4,620; 997 H. 4,620; 3,502; 997

G. 997; 3,502; 4,620 J. 997; 4,620; 3,502

10.

B. 1,892; 1,295; 1,923 D. 1,295; 1,892; 1,923

11.

11. 1,892; 1,923; 1,295 A. 1,923; 1,892; 1,295 C. 1,295; 1,923; 1,892

Order the numbers from greatest to least.

F. 5,600; 5,477; 5,531 H. 5,477; 5,600; 5,531

G. 5,600; 5,531; 5,477 J. 5,477; 5,531; 5,600

12.

B. 9,662; 9,893; 9,456 D. 9,456; 9,893; 9,662

13.


12. 5,531; 5,600; 5,477

13. 9,893; 9,456; 9,662 A. 9,456; 9,662; 9,893 C. 9,893; 9,662; 9,456

14. Angel has 301 points. Tina has 310 points. Joe has 31 points. Who has three hundred one points? F. Angel

G. Tina

H. Joe

J. Louis

14.

15. Jennifer biked 231 miles. Ron biked 213 miles. Katie biked 23 miles. Who biked two hundred thirteen miles? A. Katie

Grade 3

B. Jennifer

C. Mark

68

D. Ron

15.

Chapter 1

1

Name

Date

Chapter Test, Form 2A

Read each question carefully. Write your answer on the line. What is the missing number? , 42

A. 32 2. 4, 8, 12, F. 13

B. 34

C. 36

D. 48

G. 14

H. 15

J. 16

1.

Assessment

1. 18, 24, 30,

, 20 2.

What is the number in standard form? 3. 6 thousand 3 hundred 5 ones A. 6,635

B. 6,305

C. 6,350

D. 6,035 3.

4. four thousand, nineteen Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

F. 4,009

G. 4,190

H. 4,019

J. 4,191 4.

What is the number in expanded form? 5. 2,250 A. 2,000 + 200 + 50 C. 2,000 + 200 + 1 + 5

B. 2,000 + 200 + 5 D. 2,000 + 200 + 10 + 8

5.

G. 4,000 + 40 + 30 J. 4,000 + 400 + 43

6.

6. 4,043 F. 4,000 + 40 + 3 H. 4,000 + 400 + 3

What is the value of the 5 in the number? 7. 40,532 A. 5,000

B. 500

C. 50

G. 5,000

H. 500

D. 5

7.

8. 85,421 F. 50,000 Grade 3

69

J. 50

8. Chapter 1

1

Name

Date

Chapter Test, Form 2A

(continued)

9. 51,868 A. 50,000

B. 5,000

C. 500

D. 5

9.

Order the numbers from least to greatest. 10. 8,930; 668; 2,170 F. 668; 2,170; 8,930 H. 668; 8,930; 2,170

G. 8,930; 2,170; 668 J. 2,170; 668; 8,930

10.

B. 1,056; 1,151; 1,511 D. 1,056; 1,511; 1,151

11.

G. 2,834; 2,867; 2,803 J. 2,834; 2,803; 2,867

12.

B. 1,730; 1,235; 1,463 D. 1,730; 1,463; 1,235

13.

11. 1,151; 1,511; 1,056 A. 1,511; 1,151; 1,056 C. 1,511; 1,056; 1,151

Order from greatest to least. 12. 2,834; 2,803; 2,867 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

F. 2,867; 2,834; 2,803 H. 2,867; 2,803; 2,834 13. 1,463; 1,235; 1,730 A. 1,235; 1,463; 1,730 C. 1,463; 1,235; 1,730

14. Kate has 710 points. Amy has 701 points. Jason has 71 points. Who has seven hundred ten points? F. Amy

G. Kate

H. Jason

J. Jeremy

14.

15. Lisa biked 103 miles. Jacob biked 113 miles. Matt biked 13 miles. Who biked one hundred three miles? A. Lisa

B. Matt

C. Jacob

D. Laura

15.

16. Jeff has 364 comic books. To the nearest ten, how many comic books does Jeff have? F. 350 books Grade 3

G. 360 books

H. 400 books 70

J. 460 books 16. Chapter 1

1

Name

Date

Chapter Test, Form 2B

Read each question carefully. Write your answer on the line. What number is missing?

A. 15 2. 10, 20, 30, F. 5

, 18 B. 16

C. 17

1.

H. 15

2.

C. 3,208

3.

Assessment

1. 10, 12, 14,

, 50 G. 40

Write in standard form. 3. 3 thousands 2 hundreds 8 ones A. 3,328

B. 3,288

4. four thousand three hundred eighteen Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

F. 4,318

G. 3,418

H. 4,183

4.

5. Write the word name for 5,309. A. five thousand three hundred B. five thousand three hundred nine C. five hundred thirty nine

5.

6. Write 4,908 in expanded form. F. 4,000 + 900 + 80 H. 4,000 + 800 + 90

G. 4,000 + 900 + 8 6.

7. Write 3,449 in expanded form. A. 3,000 + 40 + 9 C. 3,000 + 400 + 40 + 9

B. 3,000 + 40 + 90 7.

What is the value of 3 in this number? 8. 5,432 F. 300 Grade 3

G. 30

H. 3 71

8. Chapter 1

1

Name

Date

Chapter Test, Form 2B

(continued)

What is the value of 3 in these numbers? 9.

9. 3,241 A. 300

B. 3,000

C. 30 10.

10. 70,352 F. 3,000

G. 30

H. 300

Order the numbers from least to greatest. 11. 4,365; 4,356; 4,306 A. 4,306; 4,356; 4,365 C. 4,356; 4,365; 4,306

B. 4,306; 4,365; 4,356

11.

G. 5,902; 5,920; 9,520

12.

12. 5,902; 5,920; 9,520 F. 5,902; 9,520; 5,920 H. 9,520; 5,902; 5,920


Order the numbers from greatest to least. 13. 4,677; 4,766; 4,667 A. 4,766; 4,677; 4,667 C. 4,766; 4,667; 4,677

B. 4,677; 4,667; 4,766

14. 3,598; 3,599; 3,589 F. 3,589; 3,598; 3,599 H. 3,598; 3,589; 3,599

G. 3,599; 3,598; 3,589

15. Luis has 201 points. Colin has 210 points. Jake has 21 points. Who has two hundred ten points? A. Colin

B. Jake

Grade 3

G. Devon

14.

15.

C. Luis

16. Devon biked 143 miles. Jorge biked 134 miles. Jasmine biked 43 miles. Who biked one hundred forty three miles? F. Jorge

13.

16.

H. Jasmine 72

Chapter 1

1

Name

Date

Chapter Test, Form 2C

Read each question carefully. Write your answer on the line provided. What is the missing number? , 21

2. 8, 12, 16,

, 24 Assessment

1. 9, 12, 15,

What is the number in standard form? 3. 3 thousands 2 hundreds 4 tens


4. six thousand eight

5. What is the word name for 3,506?

What is the number in expanded form? 6. 7,279

7. 2,091

What is the value of the 5 in the number? 8. 15,348

Grade 3

9. 1,735

10. 51,248

73

Chapter 1

1

Name

Date

Chapter Test, Form 2C

(continued)

11. What digit is in the ten thousands place? 29,451

11.

12. What digit is in the thousands place? 29,007

12.

Order the numbers from least to greatest. 13. 7,241; 896; 5,009

13.

14. 436; 831; 635 14. Order the numbers from least to greatest. 15. 16.

16. 6,921; 6,038; 6,215 17. Joy has 410 points. Susan has 401. Al has 41 points. Who has four hundred ten points?

17.

18. Adina got a score of 82 on a test. What is her score rounded to the nearest ten?

18.

19. Over the summer, Kathy checked out 134 books. To the nearest ten, how many books did Kathy check out?

19.

20. Keisha brought 2,422 bottles and cans to her recycling center. To the nearest thousand, how many bottles and cans did Keisha bring to the recycling center?

20.

Grade 3


15. 572; 527; 1,521

74

Chapter 1

1

Name

Date

Chapter Test, Form 2D

1. 12, 18, 24,

, 36

1.

2. 10, 15, 20,

, 30

2.

Assessment

What number is missing?

Write in standard form. 3. 8 thousands 4 hundreds 6 tens

3.

4. 2 thousand seven

4.

5. Write the word name for 2,461. 5.


Write the number in expanded form. 6. 3,330

6.

7. 5,114

7.

What is the value of the 2 in these numbers? 8. 12,576

8.

9. 28,341

9.

10. 23,894

10.

11. What number is in the hundreds place? 12,390

11.

12. What number is in the thousands place? 80,521 Grade 3

12. 75

Chapter 1

1

Name

Date

Chapter 1 Test, Form 2D

(continued)

Order the numbers from least to greatest. 13.

13. 3,457; 3,721; 3,367

14.

14. 8,224; 8,314; 8,256

Order the numbers from greatest to least. 15.

15. 2,578; 2,465; 2,542 16. 4,350; 4,329; 4,399

16.

17.

18. Juan got a score of 74 on a test. What is his score rounded to the nearest ten?

18.

19. Paul has 152 baseball cards. To the nearest ten, how many baseball cards does Paul have?

19.

20. Jasmine’s family drove 1,321 miles on vacation. To the nearest thousand, how many miles did Jasmine’s family drive?

Grade 3

76


17. Justin has 610 points. Phillip has 601. Beth has 16 points. Who has six hundred one points?

20.

Chapter 1

1

Name

Date


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

1. 27, 36, 45,

, 63

1.

2. 16, 24, 32, ______, 48

2.

Assessment

Provide the missing number.


Write each number in standard form. 3. 8 thousands 9 hundreds 2 tens

3.

4. nine thousand seven

4.

5. What is the expanded form for 7,089?

5.

Write each number in expanded form. 6.

6. 89,983 7. 62,555 What is the value of the 5 in the number?

7.

8. 52,674 8.

9. 84,235

9.

10. 52,163 11. What digit is in the ten thousands place? 89,674 Grade 3

10. 11.

77

Chapter 1

1

Name

Date


(continued)

12. What digit is in the thousands place?

12.

43,672 Order the numbers from least to greatest. 13. 3,007; 3,115; 3,119

13.

14. 5,676; 5,776; 5,677

14.

Order numbers from greatest to least. 15.

16. 2,282; 2,882; 2,228

16.

17. During the basketball season, Abby scored 113 points. Caleb scored 103 points. Emily scored 31 points. Who scored one hundred thirteen points?

17.

18. Anwar got a score of 87 on a test. What is Anwar’s score rounded to the nearest ten?

18.

19. Over the summer, Allison rented 129 movies. To the nearest ten, how many movies did Allison rent?

19.

20. Marissa brought 1,453 cans to her recycling center. To the nearest thousand, how many cans did Marissa bring to the center?

20.

Grade 3

78


15. 9,455; 9,495; 9,459

Chapter 1

1

Name

Date

Chapter Extended-Response Test

Assessment

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 what a pattern is and then give 3 examples of number patterns. a. b. c.


2. Use the four-step plan to solve the following problem. Explain each step. Richard has two scarves. One is 20 inches and the other one is 30 inches. How much longer is the longer scarf? 3. For the number 4,572 identify the place value of each digit. 4. Explain the difference between standard form, expanded form and word form, then complete the chart below. Write 5,682 in 3 different ways. Standard form Expanded form Word form

Grade 3

79

Chapter 1

Name

1

Date

Student Recording Sheet

Use this recording sheet with pages 68–69 of the Student Edition. Read each question. Then fill in the correct answer. 1. A

B

C

D

2. F

G

H

J

3. A

B

C

D

4. F

G

H

J

5. A

B

C

D

6. F

G

H

J

7. A

B

C

D

8. F

G

H

J

9. A

B

C

D

10. F

G

H

J

Grade 3

80

Chapter 1

1

Name

Date

Cumulative Standardized Test Practice

Test Example Which number does point B best represent on the number line? B

A. 4,500

5,500

6,500

B. 5,500

7,500

C. 5,000

Assessment

4,500

D. 6,000

Read the Question You need to find the number that shows point B on the number line. Solve the Question Find point B on the number line. Point B is halfway between 4,500 and 5,500. The difference is 1,000. Half of 1,000 is 500. Add 500 to 4,500 to find point B. 500 + 4,500 = 5,000 So, point B is 5,000. The answer is C.

Grade 3

81

Chapter 1

Name

1

Date

Cumulative Standardized Test Practice (continued)

Read each question carefully. Write your answer on the line provided. 1. Which point on the number line names 315? N 300

P 310

R

S 320

A. N

330

B. P

340

350

C. R

D. S

1.

2. Which is the standard form for 462? F. 462 H. four hundred sixty-two

2.

G. 264 J. 426

3. Which digit is in the hundreds place in the number 3,518? A. 1

B. 3

C. 5

D. 8

G. 6,049

H. 6,409

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

4. How is six thousand, forty-nine written in standard form? F. 6,140

3.

J. 6,904

5. Juan has 352 coins in his coin collection. Which of these equals 352? A. 3 + 5 + 2 C. 300 + 20 + 5

5.

B. 30 + 50 + 2 D. 300 + 50 + 2

6. Which set of numbers is in order from greatest to least? F. 345, 642, 346 H. 673, 352, 349

6.

G. 378, 387, 399 J. 358, 301, 491

7.

7. What is 5,421 rounded to the nearest thousand? A. 4,000

Grade 3

B. 5,000

C. 5,400

82

D. 5,200

Chapter 1

Name

1

Date

Cumulative Standardized Test Practice (continued) Thousands

hundreds

tens

Ones ones

2

,

hundreds

tens

ones

6

5

1

8. 9.

F. 2,561 H. 2,651

G. 2,165 J. 2,516

10.

Assessment

8. What is this number in standard form?

11.

9. What is the value of the digit 3 in 4,231? A. 30 C. 3

B. 300 D. 3000

12.

10. What is the number 2,636 rounded to the nearest ten?


F. 2,630 H. 2,460

G. 2,640 J. 2,660

13.

14.

11. What is the value of the digit 3 in 6,593? 12. What is the number 5,312 rounded to the nearest hundred?

15. 16.

13. What is the number 8,982 rounded to the nearest thousand? 14. Which digit is in the ten thousands place in the number 34,579?

17.

15. John has 378 cards in his baseball card collection. What is 378 written in expanded form?

18.

16. What is the standard form for 5,478?

20.

17. Write the word name for 3,271. Compare the numbers using , and =. 18. 438

483

21. 589

19. 299

279

22. 1,234

20. 3,466 Grade 3

19.

21.

598 1,342

22.

4,365 83

Chapter 1

Chapter 1 Assessment Answer Key Page 79, Extended-Response Test Scoring Rubric

Level

Specific Criteria 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.

Grade 3

84

Chapter 1

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

4

Chapter 1 Assessment Answer Key

In addition to the scoring rubric found on page 84, the following sample answers may be used as guidance in evaluating open-ended assessment items.

1. Answers will vary. Example answer: A pattern is a series of numbers or figures that follow a rule.

3. The 4 is in the thousands place and the value is 4,000. The 5 is in the hundreds place and the value is 500. The 7 is in the tens place and the value is 7 tens. The 2 is in the ones place and the value is 2 ones.

a. Example 1: 2, 4, 6, 8, 10 (add 2) b. Example 2: 3, 6, 9, 12 (add 3) c. Example 3: 5, 10, 15, 20 (add 5)

4. Standard form shows only the digits. Expanded notation shows the sum of the value of the digits. Word notation uses words.

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

2. Step 1: I know that one scarf is 20 inches and one scarf is 30 inches. I need to find the difference in the length of the two scarves.

Write 5,682 in 3 different ways.

Step 2: I plan to compare the length of both scarves. When I compare I will subtract the smaller number from the bigger number.

Standard form

5,682

Expanded 5,000 + 600 + 80 + 2 form

Step 3: 30 inches – 20 inches = 10 inches. So, one scarf is 10 inches longer than the other scarf.

Word form

Five thousand, six hundred eighty-two

Step 4: I will use addition to check my subtraction. 20 + 10 = 30. Since 30 is the number I started with, my answer makes sense.

Grade 3

85

Chapter 1

Chapter Resources

Page 79, Extended-Response Test Sample Answers

Grade 3

Graphic Organizer

Name

Date

Grade 3

What I Know

1

What I Want to Know

What I Learned

Use this graphic organizer to take notes on Chapter 1: Place Value and Number Sense.

1

Chapter 1


STEP 1

Before you begin Chapter 1

Place Value and Number Sense

Anticipation Guide

Name

Date

A1

D

3. If a digit 3 is in the thousands place, its value is 300.

D

8. When you move to the left on a number line, the numbers get larger.

Chapter 1

Answers

Grade 3

6

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

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

Chapter 1

A

7. If the digit 7 is in the ten thousands place, its value is 70,000.

After you complete Chapter 1

A

6. A pattern is a series of numbers or figures that follow a rule.

5. You can use a number line to round.

A A

A

4. The sign < means “is less than.”

A

2. Using a diagram can be a valuable way to solve a problem.

STEP 2 A or D

1. Number patterns can be found anywhere.

Statement

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

STEP 2

STEP 1 A, D, or NS

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

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

• Read each statement.

1

Answers (Graphic Organizer and Anticipation Guide) Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Chapter Resources

A2

Chapter 1

Number Patterns

Reteach

Name

Date

10

80

30

, 15,

, 70,

, 40,

20

60

50

, 25, , ,

50

60

30

Grade 3

Alissa

Erik

Collette

Ryan

Kristen

Thomas

12 hats 14 hats 8

6. Each student in the class has a hat collection. If the pattern continues, how many hats will Erik and Alissa have?

225 , 325,425 ,525

323 , 324 , 325, 326

5. 25, 125,

4. 322,

3. 100, 90,

2. 10, 20,

1. 5,

Identify the pattern. Then find the missing numbers.

3, 6, 9, 12, 15. What is the pattern? Add 3.

+3

2, 4, 6, 8. What is the pattern? Add 2.

3NS1.1

Chapter 1


Grade 3

When looking for a pattern, see how the next number changes. +2

1–1 Number Patterns

Skills Practice

Name

Date

10

92 ,

90 , 88

115 , 120, 125

, 22

,

18

30

Grade 3

8. Sharika wants to do 3 more sit-ups each day. If she continues, how many sit-ups will she do on Saturday and Sunday?

7. Dylan collects 4 more cans for the recycling center than the day before. If the pattern continues, how many cans will he collect on Thursday and Friday?

Solve.

6. 96, 94,

5. 105, 110,

, 16,

55

16

, 25,

19

, 14,

20

, 65, 60,

12

, 15,

13

70

4. 7, 10,

3. 75,

2. 6, 8, 10,

1. 5,

9

14

55

Sunday

Saturday

61 64

58

Thursday Friday

52

Wednesday

Friday

18 22

Wednesday Thursday

6 10

Tuesday

3NS1.1

Monday


1–1

Chapter 1

Answers (Lesson 1–1)


Chapter Resources

Grade 3

Number Patterns

Homework Practice

Name

Date

8 hours

Alex

A3

3 1 7 6 0 2 9 1

tens

tens

tens

tens

tens

tens

tens

tens

6 8 3 5 9 8 7 1 ones

ones

ones

ones

ones

ones

ones

ones

Grade 3

20 beads 10

16. Kayla has 25 beads. She gives 5 beads to a friend. How many beads does she have left? (Previous Grade)

15. 11 ones =

14. 97 ones =

13. 28 ones =

12. 9 ones =

11. 65 ones =

10. 73 ones =

9. 18 ones =

8. 36 ones =

Write how many tens and ones. (Previous Grade)

Vanessa

11 hours 14 hours

5 hours

Rachel

Antonio

2 hours

Vincent

3NS1.1

119 , 123, 127 44 4. 48, 46, , 42, 40 6. 7, 9 , 11, 13 , 15 2. 111, 115,

7. Some friends volunteer at a pet shelter. If the pattern continues, how many hours will Antonio and Vanessa volunteer?

1. 3,

, 9, 12 , 15 30 3. 50, 40, , 20, 10 5. 98, 100, 102 , 104, 106

6


1–1

Chapter 1


Number Patterns


Name

Date


Chapter 1

Answers

Grade 3

11

83 degrees

6. The average temperature increases 3 degrees each month from May through August. If the average temperature in May is 74 degrees, what is the average temperature in August?

15 lb

5. Hannah’s new puppy gains 2 pounds each week. If the puppy weighed 7 pounds in the first week, how much will it weigh in the fifth week?

$28

4. Danielle is saving for a bicycle. Her last four bank deposits were $16, $19, $22, and $25. If the pattern continues, how much will her next bank deposit be?

30 laps

3. The football team runs five more laps each day. If they run 10 laps on Monday, how many laps will they run on Friday?

4 blue triangles

2. Juan draws 16 triangles. He colors every fourth triangle blue. How many blue triangles are there?

68 Elm Street

1. Jasmine lives at 62 Elm Street. The house numbers on her side of the street increase by 2. There are 4 houses on the street. If Jasmine’s house is the first house, what is the address of the last house?

Solve.

1–1 3NS1.1

Chapter 1


Chapter Resources

A4

Chapter 1

Date

3NS1.1

Grade 3

12

answers will vary but numbers in a chart should reflect a pattern

5. Choose your own numbers to feed into the machine. Make a chart to show which numbers went in and which numbers came out.

17, 19; 22, 24

4. Write what you think the next two sets of numbers in the chart will be.

increase by 2 each time; the numbers that come out also increase by 2

Chapter 1

20

16

13

14

9 11

12

10

5 7

Output

the numbers that are put into the machine

3. Tell what other pattern you see when you look from left to right at the numbers in the chart.

5 is added to each number

2. Write what you think happens to the numbers when they are in the machine.

15, 18

1. Write the numbers that belong in the chart’s blank spaces.

The numbers put into the machine are in the left row of the chart. The numbers that came out are in the right row.

Input

Manny and Maxine’s Magnificent Math Machine

Enrich

Name


Grade 3

This is Manny and Maxine’s Magnificent Math Machine. Manny puts a number in the machine, turns the crank, and then a new number comes out of the machine.

1–1 Problem-Solving Strategy

Reteach

Name

Date

20

times.

Grade 3

Step 4 Check

80

.

13

Explain why your answer make sense.

Check your solution to make sure it makes sense.

Kayla’s game piece is on box

60 + 20 = 80

Add 20.

40 + 20 = 60

Add 20.

Start at 40.

Chapter 1

Use your plan to solve the problem.

2

Step 3 Solve

boxes

40

To find out where Kayla’s game piece is, start with 40 and add 20 two times.

What do you need to find?

game piece ahead

What do you know? Kayla starts on

What facts do you know?

Step 2 Plan

Step 1 Understand

. She moves her

3MR1.1, 3NS2.1

Kayla’s game piece is on box 40 of a gameboard. She moves it ahead 20 boxes two times. Where is her game piece now?

The Four-Step Plan

1–2

Answers (Lessons 1–1 and 1–2)


Chapter Resources

Grade 3

Problem-Solving Strategy

Reteach

Name

(continued)

Date

3MR1.1, 3NS2.1

650

– 300 = 350

A5

+ 300 = 650

Rosa ends a game with 600

Add 200 to

Grade 3

14

Chapter 1

800 – 200 = 600

600 + 200 = 800



Rosa’s points to find out how many points Tyler has.

Plan what you will do and in what order.

points. Tyler has 200 more points than Rosa.


2. Rosa ends a game with 600 points. Tyler has 200 more points than Rosa. How many points does Tyler have?

350



compare you subtract.

starting points with the ending points. When you

Compare the

Pablo started with 650 points.

Plan what you will do and in what order.

He lost 300 points.


1. Pablo started a game with 650 points. He lost 300 points. How many points did he have at the end of the game?

Solve. Use the four-step plan.

1–2



Skills Practice

Name

Date


Chapter 1

Answers

Grade 3

15

400 points; no; Ricardo will have 340 + 60 = 400 points, which is less than 410.

6. Ricardo has 340 points. He has one turn left. The record is 410 points. If Ricardo scores 60 more points, how many points will he have? Will he break the record? Explain.

no; 950 points

5. Luke scores 450 points in the first round, 100 points in the second round, and 400 points in the third round. Does he score more than 1,000 points? How many points does he have?

$430

4. Austin starts with $400 in play money. In three rounds of a game, Austin wins $10 in each round. How much money does Austin have after those three rounds?

13¢

3. Amber buys a toy for 62¢. She gives the clerk three quarters. What is her change?

Kevin

2. Javier has 500 points. Daniel has 200 points less than Javier. Kevin has 300 points more than Daniel. Who is the winner?

75 points

Chapter 1

3MR1.1, 3NS2.1

1. Stephen hits a target worth 60 points. He then hits a target worth 5 points three times. How many points does Stephen have now?


1–2


Chapter Resources

A6

Chapter 1


Homework Practice

Name

60

,

16

70

, 14,

, 65,

12

18

75

,

74

10. 15,

18

8. 108, 105,

6. 76,

, 21, 24,

Grade 3

16

9 flowers

12. Fran likes to buy flowers each week. The first week she buys 1 flower, the second week she buys 3 flowers, and the third week she buys 5 flowers. If the pattern continues, how many will she buy in the fifth week?

25 circles

70 ,

27

102 , 99, 96

, 72,

11. Henry draws 5 circles, 10 circles, 15 circles, and then 20 circles. If the pattern continues, how many circles will Henry draw in the next row?

9. 560, 660, 760 , 860 , 960

7. 55,

5. 8, 10,

Chapter 1

68

8 kinds of cookies

4. Rebecca and Haley went to a fair. Each girl bought four different kinds of cookies. How many kinds of cookies did they buy in all?

box 40

3. Sylvia’s game piece is on box 25 of a game board. She moves it ahead 5 boxes, three times. Where is her game piece now?

3MR1.1, 3NS2.1

Identify the pattern. Then find the missing numbers. (Lesson 1-1)

2¢

2. Victoria buys a toy for 13¢. If she gives the cashier a dime and a nickel, how much change will she get?

400 points

1. Tania starts a game with 300 points. In four rounds of the game, she adds 25 points each round. How many points does Tania have at the end of four rounds?

Date


Grade 3


1–2 Treasure Chests

Enrich

Name Date

Grade 3

200 + 00 + 1

201 17

3. The number of coins in chest A uses a 0 as a placeholder in the tens place. It is the least number you can make using these rules: There is a digit less than 5 and greater than 1 in the hundreds place. The digit in the ones place is not a 0. What is the number?

90 + 9

99

1. The number of coins in chest A has two digits. Each digit is the same as the other. If you add one to this number there will be a 1 in the hundreds place. What is the number?

chest A

chest B

3NS1.5

Chapter 1

seven hundred sixty-four

700 + 60 + 4

Sample answer: 764

4. This is your treasure chest! Use three of the digits that were not used in the other chests. What is the number? Write it in words.

800 + 50 + 8

858

2. The number of coins in chest B has three digits. It is the greatest number you can make using these rules: The digit 5 is in the tens place. None of the other digits is a 5. None of the digits is a 9. What is the number?

Hint: Expanded form shows the place value parts of a number that are added together to make the number. For example, 25 in expanded form is 20 + 5.

Each treasure chest holds a different number of gold coins. Read the clues. Write a number for how many coins each chest holds. Under each number, write the number in expanded form.

1–2



Chapter Resources

Grade 3

Place Value through 1,000

Reteach

Name

Date

3NS1.3, 3NS1.5

Word Form: one thousand, two hundred twenty-five

Standard Form: 1,225

Expanded Form: 1,000 + 200 + 20 + 5

A7

Grade 3

18

seventy-five

two hundred

275

200 + 70 + 5

three hundred four

one thousand,

Word form:

one thousand,

1,211

Chapter 1

two hundred eleven

Standard form:

Expanded form:1,000 + 200 + 10 + 1

Word form:

Standard form:

1,304

Expanded form: 1,000 + 300 + 4

Word form:

Standard form:

Expanded form:

Look at the model. Write the number in the three forms.

1 thousand 2 hundreds 2 tens 5 ones

The models show 1,225.

You can write numbers in expanded form, standard form, and word form.

1–3



Skills Practice

Name

2,080

609

2,435

657


Chapter 1

Answers

Grade 3

12. 3,704

11. 2,050

10. 4,190

9. 293

Date

three thousand, eight hundred

three hundred seventy-four

19

3,000 + 700 + 4

2,000 + 50

4,000 + 100 + 90

200 + 90 + 3

Write each number in expanded form.

8. 3,800

7. 374

Write each number in word form.

6. two thousand eighty

5. six hundred nine

4. 5 + 30 + 400 + 2,000

3. 600 + 50 + 7

2.

1.

Write each number in standard form.

1–3

1,320

429

Chapter 1

3NS1.3, 3NS1.5


Chapter Resources

Answers (Lesson 1– 3)

Grade 3

A8

Chapter 1

Grade 3

Check It Out

Enrich

Name

Date

3NS1.3, 3NS1.5

A9

Grade 3

22

7,061; seven thousand, sixty-one

3. A check should be written for 7,000 + 60 + 1 dollars. Under the question mark, write the digits that belong in the circle for a check with this value. How would you fill out the box and the line below it on a check for this value?

eight or four thousand, eight-hundred twenty-five

4,528 or 4,825; four thousand, five-hundred twenty-

2. Use the digits in the circle. Write a check for a four-digit number that is less than 5,000 with a 2 in the tens place.

hundred thirty-two

9,732; nine thousand, seven

1. What is the greatest amount that you can write using the digits in the circle? What would you write in the box on the check? What would you write on the line below that?

2 5

2 7

5

4 8

3 9

Chapter 1

?

7

6

A check is a form of payment that uses digits and words. The digits in the box are the number value for the check. The words for that number are written on the line below the box.

1–3



Reteach

Name

Date

3NS1.3, 3NS1.5

8

6

3

Tens

5

Ones

7 Expanded Form:

5

9

8

Tens

1

Ones


Chapter 1

Answers

Grade 3

6. 32,897

5. 32,897

4. 32,897

3. 32,897

2. 32,897

2,000

30,000

90

7

800

23

Chapter 1

Hint: Think about the expanded form of 32,897.

50,000 + 7,000 + 900 + 80 + 1

Ten Thousands Hundreds Thousands

Now, write the value of each underlined digit.

1.

Write the number 57,981 in the place value chart. Then write the number in expanded form.

Standard Form: 78,635

Expanded Form: 70,000 + 8,000 + 600 + 30 + 5 (The place value of 7 is ten thousands. It has a value of 70,000.)

7

Ten Thousands Hundreds Thousands

You can use a chart to find the place value of each digit in a number. Look at the number in the chart below. Then see how to write the number in expanded form and in standard form.

1–4

Answers (Lessons 1– 3 and 1– 4)

Chapter Resources

A10

Chapter 1


Skills Practice

Name

Date

3NS1.3, 3NS1.5

hundreds; 800

hundreds; 600

thousands; 3,000

tens; 50

8. 93,405

6. 45,887

4. 7,443

2. 78,998

60,000

600

60

4

5

Grade 3

21. 32,001 (ones)

1

19. 75,092 (ten thousands)

17. 98,641 (tens)

15. 4,521 (hundreds)

7

6

22. 1,309 (tens)

0

20. 23,026 (ten thousands)

18. 77,611 (hundreds)

5

60,000

60

6,000

2

Chapter 1

ten thousands; 90,000

thousands; 5,000

hundreds; 400

ten thousands; 70,000

16. 45,013 (thousands)

14. 69,423

12. 27,061

10. 36,898

24

Write the digit in each place named.

13. 67,422

11. 35,615

9. 65

Write the value of the 6 in each number.

7. 876

5. 5,608

3. 43,066

1. 554


Grade 3

Write the place of each underlined digit. Then write its value.

1–4 Place Value through 10,000

Homework Practice

Name

Date

3NS1.3, 3NS1.5

hundreds; 300

thousands; 4,000

6. 15,221

4. 67,842

2. 48,351

1,000 + 200 + 50 + 9

30,000 + 4,000 + 700 + 50 + 9

60,000 + 800 + 70 + 2

43,377

54,982

15. 5,000 + 500 + 5 5,505

Grade 3

11 fish 25

Chapter 1

13. 1,000 + 400 + 20 + 8 1,428

hundreds; 200

ones; 2

tens; 50

16. Jacob bought 2 tropical fish on Monday, 5 on Tuesday, and 8 on Wednesday. If this pattern continues, how many tropical fish will he buy on Thursday?

Solve.

14. 6,000 + 30 + 5 6,035

12. 3,000 + 500 + 90 + 2 3,592

Write each number in standard form. (Lesson 1-3)

11. 40,000 + 3,000 + 300 + 70 + 7

10. 50,000 + 4,000 + 900 + 80 + 2

Write each number in standard form.

9. 1,259

8. 34,759

7. 60,872

Write each number in expanded form.

5. 23,901 ten thousands; 20,000

3. 55,303

1. 4,559

Write the place of each underlined digit. Then write its value.

1–4



Chapter Resources

Grade 3



Name

Date

A11

Grade 3

23,456

26

Clue 1: Each digit increases by one. For example: 45,678. Clue 2: If you add all six numbers, the answer is 20. What is the five-digit number?

5. Use the two clues below to find the five-digit number.

75,400 flowers

4. There are 70,000 + 5,000 + 400 flowers in the Mayville Town Park. In standard form, how many flowers are there?

4,000

3. Last month, Fresh Juice Company sold 54,019 bottles of orange juice. What is the value of the 4 in this number?

900

Chapter 1

3NS1.3, 3NS1.5

2. The town that Jose lives in has 31,988 people. What is the value of the 9 in this number?

40,000 + 5,000 + 600 + 70 + 2

1. The North Avenue Library owns 45,672 books. Write that number in expanded form.

Solve.

1–4


Make Your Own Numbers

Enrich

Name

Date


Chapter 1

Answers

Grade 3

27

124, 678

4. Now write the least number you can make with these same numbers.

put it in the place with the least value.

The number 1 is the least number in the box, so I

3. How did you know which number to put in the ones place?

put it in the place with the greatest value.

The number 8 is the greatest number in the box, so I

2. How did you know which number to put in the hundred thousands place?

least (ones place).

a place from greatest (hundred thousands place) to

from greatest to least, and then put each number in

876,421; Possible answer: I ordered the numbers

1. Write the greatest six-digit number you can with the numbers in the box. Explain your steps.

4, 1, 8, 2, 6, 7

Chapter 1

3NS1.3, 3NS1.5

Use the numbers in the box below to answer the following questions about place value.

1–4


Chapter Resources

A12

Chapter 1

Problem-Solving Investigation

Reteach

Name

3MR1.1, 3NS2.1

Grade 3

Step 4 Check

Step 3 Solve

• Use the four-step plan

Step 2 Plan

Step 1 Understand

28

How can you check your answer?

Reread the problem.

addition

Count the x marks. There are 8. So, the dog ate 8 muffins. Is the solution reasonable?

Chapter 1

Put an x through one muffin at a time until you are left with 24.

Draw 32 muffins.

Carry out your plan.

The number of x marks tells you how many muffins the dog ate.

You can demonstrate this by drawing the number of muffins and putting an x through one muffin at a time until you are left with 24.

You know Tammy baked 32 muffins. You know she has 24 muffins left.

What do you need to find? how many her dog ate Make a plan.

What do you know? Tammy baked 32 muffins. She has 24 muffins left.

Make sure you understand the problem.

Tammy baked 32 muffins for her class picnic. Her dog ate some of them, and now Tammy only has 24 muffins left. How many did her dog eat?

Date


Grade 3

Use the Four-Step Plan

1–5

Date

Grade 3

29

7 tickets

6. Lindsey saw 3 movies at the theater with her friend Emma. If another friend joined them for one movie, how many tickets were bought altogether?

6 slices

5. Sean and his brother ate some pizza. The pizza had 12 slices. They each had 3 slices. How many slices were left?

90 points

4. Meg ends a game with 60 points. Ted has 30 points more than Meg. How many points does Ted have?

45 points

3. Pablo started a game with 65 points. He lost 20 points. How many points did he have at the end of the game?

22 slices

2. Will found a plate of orange slices in the kitchen. He ate 4 of them. When he counted the slices, there were 18 left. How many orange slices were on the plate to start with?

$4

1. Tanya bought a book for her father’s birthday that cost $21. She paid the cashier with $25. How much change did Tanya receive?

Chapter 1

3MR1.1, 3NS2.1

Problem-Solving Investigation (continued)

Reteach

Name

Solve using the four-step plan.

1–5



Chapter Resources

Grade 3


Skills Practice

Name

Date

A13

Grade 3

30

students’ work.

See

6. Write a problem that you solve using the four-step plan.

6 stars

5. In Gabriella’s picture, she has made every third item a star. If her picture contains 18 items, how many of them are stars?

$6

4. Henry bought 2 shirts at $3 each. How much did he spend in all?

6 fish hooks

3. Travis plans to use a new fish hook every two days on his camping trip. If the trip lasts 12 days, how many fish hooks will Travis use?

20 minutes

2. Javier wants to practice soccer twice as long as he did the day before. If he practiced for 10 minutes yesterday, how long will Javier practice today?

114 points

Chapter 1

3MR1.1, 3NS2.1

1. Jamie has 545 points in a game. Darren has 431 points. How many more points does Jamie have than Darren?


1–5



Homework Practice

Name

Date


Chapter 1

Answers

Grade 3

6. 34,332

5. 47 ,898

4. 85,609

31

tens; 30

thousands; 7,000

hundreds; 600

Write the place of each underlined digit. Then write its value. (Lesson 1-4)

25 inches

3. Jason’s dog is 13 inches tall. David’s dog is 12 inches taller than Jason’s dog. How tall is David’s dog?

32 plants

2. Miranda’s garden has three rows. There are 13 rose plants in the first row, 7 lily plants in the second row, and 12 daisy plants in the third row. How many plants are in Miranda’s garden?

8 feet

Chapter 1

3MR1.1, 3NS2.1

1. The pine tree in Mr. George’s yard is 35 feet tall. The oak tree in his yard is 43 feet tall. How much taller is the oak tree than the pine tree?


1–5


Chapter Resources

A14

Chapter 1

Coin Questions

Enrich

Name

Date

3MR1.1, 3NS2.1

32

Chapter 1

Grade 3

9. 880

808

581

310

744

3. 347 5. 301

745

1. 754

>

< >

7.

3,000 + 400 + 20 + 1

five hundred 8. seventy-seven four thousand, six hundred 9. ninety-two

4,598; 4,589; 4,344 8,990; 8,909; 8,099

10.

663

11.

4,940

12.

3,251

A27

5,000 + 600 + 5. 90 + 9 five thousand, six hundred ninety nine 10,000 + 2,000 6. + 300 + 40 + 8 twelve thousand, three hundred forty eight 7.

37,333

8.

22,695

9.

12,504

10.

16,354

11.

47,629

40,000 + 7,000 + 600 + 20 + 9 twelve thousand, four hundred thirty 12. two

Chapter 1

Answers

4. thousands; 3,000

Chapter 1 Assessment Answer Key Quiz 3 (1–7 through 1–9) Page 60

1. 2. 3. 4. 5. 6.

7.

8.

9.

10.

< < > < = >

Mid-Chapter Review Page 61

1.

true

2.

false

3.

false

4.

A

5.

H

1,872; 1,287; 1,278 3,210; 3,201;

6.

B

7.

J

8.

understand;

Chapter Test, Form 1 Page 67

1.

B

2.

G

3.

B

4.

G

5.

D

6.

F

7.

B

8.

G

3,102 6,581; 6,516; 5,618

4,573; 4,743; 4,753

11.

2,348; 2,378; 2,432

12.

7,012; 7,021; 7,210

plan; solve; check 9. 4000 + 700 +

90+ 8

(continued on the next page) Grade 3

A28

Chapter 1

Chapter 1 Assessment Answer Key Form 1 Page 68

10.

11.


12.

13.

14.

15.

Form 2A Page 70

C 1.

C

9.

A

2.

J

10.

F

3.

B

11.

B

4.

H

12.

F

5.

A

13.

D

6.

F

14.

G

7.

B

15.

8.

G

16.

G D Answers

9.

Form 2A Page 69

G C F D A G


A29

Chapter 1

Chapter 1 Assessment Answer Key Chapter Test, Form 2B Page 71

1.

B

2.

G

3.

4.

C

F

B

6.

G

7.

8.

C

G

Page 72

9.

10.

11.

12.

13.

14.

15.

16.

B

H

1.

18

2.

20

3.

3,240

4.

6,008

A

G

5.

three thousand five hundred six

7,000 + 200 + 70 +9 6.

A

7.

G

2,000 + 90 + 1

8.

5,000

9.

5

10.

50,000

A

G


A30

Chapter 1


5.

Chapter Test, Form 2C Page 73


2

11.

9

12.

Chapter Test, Form 2D Page 75

1. 2.

3.

896; 5,009; 7,241

13.

14.

436; 635; 831


15. 527; 572; 1,521 16.

6,038; 6,215; 6,921

17.

Joy

18.

80

19.

20.

Grade 3

130 books

Page 76

30 25

13.

3,367; 3,457; 3,721

14.

8,224; 8,256; 8,314

15.

2,578; 2,542; 2,465

16.

4,399; 4,350; 4,329

17.

Phillip

18.

70

19.

150 cards

20.

1,000 miles

8,460

2,007 two thousand four hundred sixty-one 5. 4.

3,000 + 300 + 30 6. 5,000 + 100 + 10 + 4 7.

8.

2,000

9.

20,000

10.

20,000

11.

3

12.

0

2,000 bottles and cans

A31

Chapter 1

Answers

Chapter Test, Form 2C Page 74

Chapter 1 Assessment Answer Key Chapter Test, Form 3 Page 77

1.

54

2.

40

Page 78

12.

13. 3.

8,920

4.

9,007

5.

7,000 + 80 +9

7. 60,000 + 2,000

3,007; 3,115; 3,119

14.

5,676; 5,677; 5,776

15.

9,495; 9,459; 9,455

16.

2,882; 2,282; 2,228

17.

Abby

18.

90


6. 80,000 + 9,000 + 900 + 80 + 3

3

+ 500 + 50+ 5 8.

50,000

9.

5

10. 11.

Grade 3

50,000

19.

130 movies

20.

1,000 cans

8

A32

Chapter 1



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.

Grade 3

A33

Chapter 1

Answers

Page 79, Extended-Response Test Scoring Rubric

Chapter 1 Assessment Answer Key Page 79, Extended-Response Test Sample Answers In addition to the scoring rubric found on page 84, the following sample answers may be used as guidance in evaluating open-ended assessment items.

1. Answers will vary. Example answer:

A pattern is a series of numbers or figures that follow a rule. a. Example 1: 2, 4, 6, 8, 10 (add 2) b. Example 2: 3, 6, 9, 12 (add 3) c. Example 3: 5, 10, 15, 20 (add 5)

3. The 4 is in the thousands place

and the value is 4,000. The 5 is in the hundreds place and the value is 500. The 7 is in the tens place and the value is 7 tens. The 2 is in the ones place and the value is 2 ones. 4. Standard form shows only the

digits. Expanded notation shows the sum of the value of the digits. Word notation uses words.

2. Step 1: I know that one scarf is 20

inches and one scarf is 30 inches. I need to find the difference in the length of the two scarves.

Write 5,682 in 3 different ways.

Step 3: 30 inches – 20 inches = 10 inches. So, one scarf is 10 inches longer than the other scarf.

Standard form

5,682

Expanded form

5,000 + 600 + 80 + 2

Word form Five thousand, six hundred eighty-two

Step 4: I will use addition to check my subtraction. 20 + 10 = 30. Since 30 is the number I started with, my answer makes sense.

Grade 3

A34

Chapter 1


Step 2: I plan to compare the length of both scarves. When I compare I will subtract the smaller number from the bigger number.

Chapter 1 Assessment Answer Key Cumulative Standardized Test Practice Page 82

2.

3.

4.


5.

8.

H

9.

A

10.

G

11.

3

12.

5,300

13.

9,000

14.

3

15.

300 + 70 + 8

16.

5,478

C

F C

G

D

6.

H

7.

B

three thousand, two hundred 17. seventy-one 18. 19. 20. 21. 22.

Grade 3

Answers

1.

Page 83

A35

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