Mrs. Rausch 5th Grade Math - Number and …...Investigations, Grade 5 Student Activity Book Second Edition Investigations IN NUMBER, DATA, AND SPACE Student Activity Book The Investigations

Number and Operations 1

1 UNIT

Grade 5

This book belongs to:

Multiplying by 10, 100 and 1000

□ x 10 = □ + □ + □ + ... (The number multiplied by 10)

□ x 100 = □ x 10 x 10

□ x 1000 = □ x 10 x 10 x 10

Strategies for Multiplying Basic Facts

□ x 2 = □ + □

□ x 4 = □ x 2 x 2

□ x 8 = □ x 4 x 2

□ x 6 = □ x 3 x 2

□ x 9 = □ x 3 x 3

□ x 10 = □ x 5 x 2

□ x 11 = □ x 10 + (□ x 1)

□ x 12 = □ x 6 x 2

Parrot Fire Kris Northern

“ Rather than zoom into the fractal you can zoom into the edge of it and continually

find the same pattern repeating itself much like the shoreline of a lake viewed from

a plane.”– Kris Northern

Custom Edition for Minneapolis Public Schools

Taken from:

Investigations, Grade 5 Student Activity Book

Second Edition

InvestigationsIN NUMBER, DATA, AND SPACE

Student Activity Book

The Investigations curriculum was developed by TERC, Cambridge, MA

The material is based on work supported by the National Science Foundation (NSF) under Grant No. ESI-0095450. Any opinions, findings, and conclusion or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Cover Art: Parrot Fire by Kris Northern.

Taken from:Investigations, Grade 5 Student Activity Book, Second EditionCopyright © 2008 by Pearson Education, Inc.Upper Saddle River, New Jersey 07458

Copyright © 2015 by Pearson Learning SolutionsAll rights reserved.

This copyright covers material written expressly for this volume by the editor/s as well as the compilation itself. It does not cover the individual selections herein that first appeared elsewhere. Permission to reprint these has been obtained by Pearson Learning Solutions for this edition only. Further reproduction by any means, electronic or mechanical, including photocopying and recording, or by any information storage or retrieval system, must be arranged with the individual copyright holders noted.

All trademarks, service marks, registered trademarks, and registered service marks are the property of their respective owners and are used herein for identification purposes only.

Pearson Learning Solutions, 501 Boylston Street, Suite 900, Boston, MA 02116A Pearson Education Companywww.pearsoned.com

Printed in the United States of America

1 2 3 4 5 6 7 8 9 10 XXXX 18 17 16 15 14

000200010271890319

JK

MPS 2016 Edition

From Grade 5, Unit 1, Investigation 1, Sessions 1.1 and 1.2 of Investigations in Number, Data, and Space ® Student Activity Book. © Pearson Education.

Number Puzzles: 1 Clue (page 1 of 2)

For each number puzzle, follow these steps.a. Find two numbers that fit each clue.b. Draw rectangles, and label the dimensions to show

that your numbers fit the clue.c. List other numbers that also fit the clue.

1. This number of tiles will make a rectangle that is 2 tiles wide.

Number: Number:Rectangle: Rectangle:

What other numbers fit this clue?

2. This number of tiles will make a rectangle that is 5 tiles wide.



3. This number of tiles will make only one rectangle.



DateNameNumber Puzzles and Multiple Towers

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MPS Lesson 1


Number Puzzles: 1 Clue (page 2 of 2)

4. This number of tiles will make a square.



5. There are some numbers that can be made into onlyone rectangle (Problem 3). Find all of these numbersup to 50.

6. There are some numbers that can make a square(Problem 4). Find all of these numbers up to 100.


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MPS Lesson 1

DateNameNumber Puzzles and Multiple Towers Daily Practice

From Grade 5, Unit 1, Investigation 1, Session 1.1 of Investigations in Number, Data, and Space ® Student Activity Book. © Pearson Education.

Factors and Multiples

1. List all of the factors of 42.

2. List five multiples of 42.

3. Explain the difference between a factor and a multiple.

Ongoing Review

4. Which number is not a factor of 36?

A. 4 B. 8 C. 9 D. 12

5. Which number is a multiple of 36?

A. 200 B. 108 C. 76 D. 48

NOTE Students find factors and multiples of 2-digit numbers.

18–19

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MPS Lesson 1

Homework



Seeing Number

Dot PatternsLook at each picture in different ways. Write equations to show different ways to multiply that you can see in the picture.

1. Example 5 � 3 � 2 � 30

2.

3.

NOTE Students are beginning a new Investigation, a review of multiplication. For each picture below, they write multiplication equations representing different ways to find the number of dots.

23–24

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MPS Lesson 1

2 × 1 Multiplication

1. 14 × 6

60 24

10 + 4

× 6

24

+ 60

84

2. ____________

×

+

3. ____________

×

+

4. ____________

×

+

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Name __________________________

MPS Lesson 2 Classwork

Resources for Teaching Math

© 2010 National Council of Teachers of Mathematics http://illuminations.nctm.org

2 × 2 Multiplication1. 13 × 16

100 30

60 18

10 + 3

× 10 + 6

18

60

30

+ 100

208

2. ____________

×

+

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Name __________________________




3. ____________

×

+

4. ____________

×

+

- 7 -Name __________________________




5. ____________

×

+

6. ____________

×

+

- 8 -

Name __________________________



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Name __________________________

MPS Lesson 2 Homework



3. ____________

4. ____________

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Name __________________________

MPS Lesson 2 Homework


NOTE 19,BT4 bodyMultiplying 2-Digit NumbersSolve these problems and show your work.

1. 26 � 12

2. 18 � 34

Ongoing Review

3. 12 � 18 �

A. more than 400 C. about 200

B. about 300 D. less than 100

NOTE 19,BT4 bodyNOTE Students multiply two 2-digit numbers.

30–32


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MPS Lesson 3

Homework


Factors of 50 and 72Find as many ways as you can to multiply using whole numbers to make each product.

1. Multiplying to Make 50

Ways to multiply with two factors:

Ways to multiply with more than two factors:

2. Multiplying to Make 72

Ways to multiply with two factors:

Ways to multiply with more than two factors:

NOTE Students practice finding multiplication combinations with two factors and with more than two factors for 50 and 72.

23–24


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MPS Lesson 3

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MPS Lesson 4

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MPS Lesson 4

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MPS Lesson 4

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MPS Lesson 4

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MPS Lesson 5

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MPS Lesson 5

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MPS Lesson 5-6

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Two Algorithms:

What Do They Mean? (page 1 of 2)

In both algorithms recorded below, the same problem is solved by breaking the numbers apart by place. With your partner, look closely at the solutions and make sense of what the notation shows.

Solution 1

142� 363,0001,200

60600240

� 125,112

Solution 2 12 1

142� 36

852 �4,260

5,112

Use each algorithm to record the solution to 138 � 24.

Solution 1

138 � 24

Solution 2

138 � 24

DateNameHow Many People? How Many Teams?

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MPS Lesson 6



Two Algorithms:

What Do They Mean? (page 2 of 2)

Talk about these questions with your partner. Write your answers.

1. How would you explain to someone else what thenumbers in each solution show? What do the small 1sand the small 2 in Solution 2 mean?

2. How are these two notations different from each other?How are they the same?

3. Challenge: Use both algorithms to show the solutionto 184 � 61.

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MPS Lesson 6


DateNameHow Many People? How Many Teams? Daily Practice

Finding Products 2Solve the following problems. Show your work clearly.

1. 225 � 32 �

2. 97 � 63 �

Ongoing Review

3. 103 � 26 �

A. 2,500 B. 2,678 C. 2,978 D. 26,780

NOTE Students solve multiplication problems and show their solutions.

30–32

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MPS Lesson 6


Homework


TeamsSolve the problems below. Use clear and concise notation in your answers.

1. There are 64 teams in a basketball tournament.Each team has 14 players. How many basketballplayers are in the tournament in all?

2. There are 135 teams in a soccer tournament. Eachteam has 32 players. How many soccer players arein the tournament in all?

3. There are 85 teams in a local softball league. Eachteam has 24 players. How many softball players arein the league in all?

NOTE Students solve multiplication problems involving teams.

30–32

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MPS Lesson 6


Dividing by

2-Digit Numbers

1. Solve the following problem. Show yoursolution clearly.162 � 12

2. Write a story problem that represents 162 � 12.

3. What is the answer to your story problem?

Ongoing Review

4. Is the product of 19 � 45

A. about 500? C. about 1,500?

B. about 1,000? D. about 2,000?

NOTE Students solve a division problem, show their solution, and write a story problem.

38–39



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MPS Lesson 7


Solve in Two WaysSolve this problem in two different ways. Show your work clearly.

46 � 37 �

First way:

Second way:

NOTE Students are working on solving multiplication problems in several ways. Solving a problem in two different ways helps develop flexibility and allows students to double-check their work.

30–32

Homework


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MPS Lesson 7


Problems about Multiples of 21 (page 1 of 2)

Use the multiple tower for 21 or your list of multiples of 21 to help you with these problems. Be sure to use your answers to the earlier problems to help you with the later problems.

1. 10 � 21 �

2. 105 � 21 �

3. 315 � � 21

4. � 21 � 420

5. 5 � 21 �

6. 210 � 21 �

7. 15 � 21 �



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MPS Lesson 8


Problems about Multiples of 21 (page 2 of 2)

8. � 21 � 630

9. 945 � � 21

10. 441 � 21 �

11. Write and solve two division problems usingmultiples of 21.


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MPS Lesson 8



Story Problems:

Reading a Long Book

1. Noemi borrowed a new book from the library.At 1,000 pages, it is the longest book shehas ever tried to read! The first day, she read115 pages. How many more pages does shehave to read to reach the end?

2. During the next week, Noemi read 388 pages.How many pages has she read altogether?

3. At the end of 2 weeks, Noemi had read 816 pages.How many pages does she have left to finishthe book?

NOTE Students practice solving addition and subtraction problems in a story problem context.

8–9, 10–13


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MPS Lesson 8


Homework

DateNameNumber Puzzles and Multiple Towers Homework


Solving 315 � 21

1. Write a story problem for 315 � 21.

2. Solve 315 � 21.

NOTE Students have been solving division problems. Students should think about what multiplication combinations they know that can help them solve this problem.

38–39

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MPS Lesson 8

Grade 5 – Mathematics Unit 1 Lesson Plan 9

Name ___________________________________ Date _____________________

Unit 1 Lesson 9 Practice

1. Desmond wants to split his collection ofcards into groups of 8. If he has 168 cards,how many groups will he create?

2. Nadir sets a goal to do 250 pushups. Heplans to do 14 pushups a day. How manydays will it take Nadir to reach his goal of250 pushups?

3. Rahama has 68 boxes of stickers. Each boxhas 24 stickers inside. How many stickersdoes Rahama have in all?

4. Selena has 436 marbles. She wants toplace her marbles inside bags. If she fillseach bag with 28 marbles, how many bagswould she completely fill?

5. Write a word problem for the following expression:

171 ÷ 9

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

Solve:

- 31 -



500 ÷ 23

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

Solve:


612 ÷ 18

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

Solve:

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Name _________________________________Date _______________________

Unit 1 Lesson 9 Homework

1. Abdi is ordering 500 pieces of pizza for his10th birthday party. If there are 34 peopleattending the party, how many slices ofpizza can everyone share equally?

2. Janet is interested in buying 46 pumpkinsfor her harvest party. At the market, thecost for one pumpkin is $2.50. How muchmoney will Janet need to buy all 46pumpkins?

3. Alex is baking cookies for his teacher’sbirthday. He wants to make 187 cookies. IfAlex bakes 15 cookies at a time, how manygroups of cookies will he need to bake?

4. The high school is planning a field trip.There are 975 students and 44 seats oneach school bus. How many buses areneeded to take the trip?


2,260 ÷ 45

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

_____________________________________________

Solve:

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- 34 -




Division ProblemsSolve the following problems. Make sure anyone looking at your work can tell how you solved the problem.

1. Write a word problem for 21 � _____

252 and solve it.

2. There are 415 biographies in the school library. If eachshelf holds 27 books, how many shelves are completelyfilled? How many books are left?

3. Write a word problem for the equation525 � 21 � . Then solve it.

4. There are 748 students eating lunch in the cafeteriaat school. The same number of students is sitting ateach of 22 tables. How many students are sittingat each table?

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MPS Lesson 10




Story Problems:

School Supplies

1. Mr. Mancillas had $200 to spend on art supplies.He spent $103.80 on drawing paper and $86.35on paint brushes.

a. How much did he spend on art supplies?

b. How much money did he have left after hebought the art supplies?

2. Mrs. Kim had $300 to spend on science materials.She spent $77.49 on thermometers and $219.99on a microscope.

a. How much did she spend on science materials?

b. How much money did she have left after shebought the science materials?


8–9, 10–13

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MPS Lesson 10

Name ____________________________________Date _____________________

Lesson 10 Homework

1) Felix has 774 bananas stored in boxes. If there are 86 boxes, how manybananas must go in each box?

2) Christina has 1840 blocks. If she divides them equally between 23 boxes,how many blocks will each box hold?

3) Write a word problem for the equation 425 19 = _______________.Then solve it.

4) Bianca has 3045 stickers. If she shares them equally among 35 friends, howmany stickers does each friend get?

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Numbers Off the TowerUse the multiple tower to solve these problems. Make sure that your work is clear enough that someone looking at it will know how you solved the problem.

1. 1,344 � 21 � 2. � 21 � 1,512

3. 21 � _______1,275 4. 2,121 � � 21

5. Write two of your own problems, using multiples noton the tower. Solve the problems.

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MPS Lesson 11




Story Problems:

Stamp Collection

1. Helena has a collection of stamps. Shehas 734 South American stamps and555 African stamps.

a. How many stamps does Helena have?

b. How many more stamps does she need to have1,500 altogether?

2. Kaetwan also has a stamp collection. He has839 stamps from Africa and 472 stamps fromNorth America.

a. How many stamps does Kaetwan have?

b. How many more stamps does he need to have1,500 altogether?

3. How many more stamps does Kaetwan have in hiscollection than Helena has in her collection?


8–9, 10–13

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MPS Lesson 11


Homework

DateNameNumber Puzzles and Multiple Towers Homework


Multiple Tower for 15 (page 1 of 2)

1. Complete the multiple tower at the right, andstop when you get to 480.

2. How many 15s are in 450? Solve withoutcounting and show how you did it.

3. The 10th, 20th, and 30th multiples of 15 are 150, 300,and 450. What are the 40th and 50th multiples of 15?How do you know?

NOTE Students have been using a list of multiples (similar to the strip on the right side of this page) to solve division problems.

20

907560453015

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MPS Lesson 11


Homework


Multiple Tower for 15 (page 2 of 2)

4. Jean has 270 flowers and 15 vases. If she puts anequal number of flowers in each vase, how manyflowers will go in each one?

5. Solve 15 � _____

645. Show your solution.

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MPS Lesson 11

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MPS Lesson 12-14

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MPS Lesson 12-14



Division Solve the following problems. Show your solutions clearly.

1. 288 � 16 �

2. 600 � 15 �

Ongoing Review

3. 900 � 20 �

A. 450 B. 45 C. 40 D. 20

NOTE Students solve division problems and show their solutions.

38–39

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MPS Lesson 12


Homework


Division PracticeSolve these division problems. Your notation should be clear enough so that anyone looking at your work will know how you solved the problem.

1. There are 432 magazines in the library. Eachshelf holds 12 magazines. How many shelveshold magazines?

2. There are 8 schools in town, and 408 bookswere donated to the school libraries. If thebooks are distributed evenly, how many bookswill each library receive?

3. 850 � 25 �

4. 935 � 21 �

NOTE Students practice solving division problems.

38–39

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MPS Lesson 12

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MPS Lesson 13-14

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MPS Lesson 13-14

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MPS Lesson 13-14

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MPS Lesson 13-14



Story Problems: Selling Fruit

1. On Monday, a grocery store received a shipmentof 1,000 apples. The apples were quite tasty, andthe store sold 346 of them that day. How manyapples were left to sell?

2. On Wednesday, the store received a shipment of1,200 oranges. The store sold 263 oranges that day.How many oranges were left to sell?

3. On Saturday, the store received a shipment of2,000 mangos. The store sold 415 mangos onSaturday and 680 mangos on Sunday.

a. How many mangos did the store sell on theweekend (Saturday and Sunday)?

b. How many mangos were left to sell?


8–9, 10–13

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MPS Lesson 13

- 52 -


Homework


Practicing Multiplication

and Division (page 1 of 2)

Solve the following problems. Make sure that anyone looking at your work can tell how you solved the problem.

1. There are 64 teams at the basketball tournament.Each team has 12 players. How many players areat the basketball tournament?

2. Write a word problem for 35 � _____

490 and solve it.

3. Michael has 275 baseball cards that he wants to storein envelopes. If he puts 25 cards in each envelope,how many envelopes does he need?

NOTE Students continue to practice solving multiplication and division problems.

14

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MPS Lesson 13

Homework



Practicing Multiplication

and Division (page 2 of 2)

4. There are 118 rows in the auditorium. If 29 people sit ineach row, how many people are in the auditorium?

5. Mrs. Garcia teaches fifth grade. She has 720 patternblocks and 24 plastic containers. If she wants to dividethe pattern blocks evenly, how many will she put ineach container?

6. Write a word problem for 13 � 42 and showyour solution.

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MPS Lesson 13




Coin Jars Find two different solutions to each of these problems.

1. Duante has a coin jar full of pennies, dimes, nickels,and quarters. Most of the coins in his jar are pennies.He knows that there is $7.00 in his coin jar. Whatcombination of coins could be in Duante’s coin jar thatwould equal $7.00?

First Solution Second Solution

2. Ursula also has a coin jar. There are only two kinds ofcoins in her coin jar. She knows that there is $3.75 inher jar. What combination of coins could be in Ursula’scoin jar that would equal $3.75?

First Solution Second Solution

NOTE Students solve problems about combinations of coins.

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MPS Lesson 14



Division PracticeSolve the following problems. Use clear and concise notation in your solutions.

1. 860 � 64 �

2. There are 774 students at school. They will be placedin teams of 24 for a fundraiser. How many teams willthere be?

3. 32 � _______1,750

4. Georgia has 1,200 baseball cards that she wants tokeep in envelopes. If she puts 26 cards in eachenvelope, how many envelopes does she need?

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MPS Lesson 15



Sharing Equally Share the supplies equally among the students in each class.

Students in Ellen’s class: 24 Stickers on each roll: 80

1. The class has 1 roll. Each student gets stickers.

2. The class has 2 rolls. Each student gets stickers.

3. The class has 5 rolls. Each student gets stickers.

Students in Ami’s class: 32 Counting cubes in each bucket: 120

4. The class has 1 bucket. Each student gets cubes.

5. The class has 2 buckets. Each student gets cubes.

6. The class has 5 buckets. Each student gets cubes.

Students in Matteo’s class: 22 Pens in each box: 240

7. The class has 1 box. Each student gets pens.

8. The class has 2 boxes. Each student gets pens.

9. The class has 5 boxes. Each student gets pens.

Ongoing Review

10. Violet gave the clerk $5 for a $3.62 bag of grapes.How much change did she get back?

A. $18.10 B. $8.62 C. $2.38 D. $1.38

NOTE Students use number sense to solve division problems. In these questions, the number of items left over does not matter.

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MPS Lesson 15


Homework


Dividing by Multiples of 10 Try to solve all the following problems mentally. If you do not solve a problem mentally, show how you solved it.

1. 120 � 20 �

3. 500 � 50 �

5. 4,900 � 70 �

7. 3,200 � 80 �

9. 4,800 � 20 �

2. 90___30

4. 90 � _____720

6. 3,000 � 60 �

8. 450 � 30 �

10. 5,600 � 80 �

NOTE Students practice dividing numbers that are multiples of 10.

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MPS Lesson 15



Counting Around the Room Solve the following problems. Use clear and concise notation in your solutions.

1. The school marching band is counting around the roomby 11s. Each person says only one number. The firststudent says 11, and the last student says 737. Howmany students counted?

2. The school Math Club counts by a certain number.Each person says only one number. The last studentsays 910. If there are 35 students in the Math Clubby what number are they counting?

3. Mr. Smith’s class is counting by 75s, and students cancount more than once. The first person says 75, andthe last person says 4,050. How many 75s do thestudents count?

4. There are 32 students in Ms. Chen’s class. They countby a certain number, and the last student says 1,280.If each person says only one number, by what numberare they counting?

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MPS Lesson 16



Dividing 500 by 16 Find the quotient and remainder for Problem 1. Use your answer to solve the other problems.

1. 500 � 16 is with a remainder of .

2. Vicky needs 500 paper plates. There are 16 plates ina bag. How many bags should she buy?

3. Sean has 500 pounds of apples for 16 horses. Howmany pounds can each horse have?

4. Ed has 500 tomato plants. He is putting 16 plants ineach box. How many boxes can he fill?

5. Sharon is shipping 500 wind-up toy cows. She willput 16 or 17 cows in a box. Describe the shipmentof cows.

boxes with 16 cows and boxes with 17 cows

Ongoing Review

6. Which set of multiples are shaded inthe table?

A. multiples of 3

B. multiples of 4

C. multiples of 5

D. multiples of 6

NOTE Students interpret remainders in division situations.

37

2 4 6 83 6 9 124 8 12 165 10 15 20

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MPS Lesson 16


Classroom Counting Puzzles Solve these problems. Use clear and concise notation in your solutions.

1. Ms. Green’s class has 29 students and counts by45s. Each person says only one number. If the firstperson says 45, what does the last person say?

2. Mr. Black’s class counts by 25s. Each person saysonly one number. The first person says 25, and thelast person says 700. How many students are inMr. Black’s class?

3. Mr. Blue’s class has 31 students. They count by acertain number, and the last person says 899. If eachperson says only one number, by what number arethey counting?

4. Ms. Yellow’s class has 28 students. They count by 65s,and each person says only one number. If the firststudent says 65, what does the last student say?

DateNameHow Many People? How Many Teams? Homework

NOTE Students continue to practice solving multiplication and division problems.

14

- 61 -

MPS Lesson 16

- 62 -


Division Starter Problems (page 1 of 3)

For Problems 1–6, choose a starter problem (first step), “a” or “b,” to complete each problem. If you would like to use a different starter problem from the two listed, write it on the blank labeled “c.” Then, use the starter problem you have chosen to solve the final problem.

1. 2,000 � 42 �a. Start by solving 840 � 42.

b. Start by solving 40 � 42.

c.

2. Renaldo has 650 marbles. He wants to put them inbags that hold 28 marbles each. How many full bagsof marbles will he have?a. Start by solving 560 � 28.


c.


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MPS Lesson 17



3. 30 � _______2,554

a. Start by solving 30 � 80.

b. Start by solving 1,200 � 30.

c.

4. Tomas made 825 cookies for a bake sale. He putsthem in 22 boxes. If each box has the same numbersof cookies, how many cookies are in each box?How many cookies are left over?a. Start by solving 22 � 30.


c.


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MPS Lesson 17



5. 499 � 2a. Start by solving 2 � 200.


c.

6. There are 1,080 students at Packer Elementary School.They are organized in 40 equal-sized groups for a fieldtrip. How many students are in each group?a. Start by solving 800 � 40.


c.


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MPS Lesson 17


Classroom Supplies (page 1 of 2)

Use the information below to answer the following questions. Record your work on a separate sheet of paper.

Item Unit Cost

Pencils 12 per package $0.99Pens 12 per package $1.98Erasers 10 per package $1.29Glue sticks 18 per package $3.49

1. The third-grade teachers want topurchase 3 pencils for eachstudent.How many packages of pencilsdo they need to buy?

What is the total cost?

2. The third-grade teachers wantto purchase 1 glue stick foreach student.How many packages of gluesticks do they need to buy?


3. The fourth-grade teachers wantto purchase 2 erasers for eachstudent.How many packages of erasersdo they need to buy?


4. The fourth-grade teacherswant to buy 2 pencils and1 glue stick for each student.How many packages ofpencils do they need to buy?Of glue sticks?



Grade Number of Students

Third 80Fourth 100Fifth 150

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MPS Lesson 17


Classroom Supplies (page 2 of 2)

5. The fifth-grade teachers wantto buy 2 pencils and 2 pensfor each student.How many packages of pencilsdo the teachers need to buy?

Of pens?


6. A local business gave the fifth-grade teachers $50.00 forclassroom supplies. Whatevermoney the teachers do notspend, they have to return, sothey want to spend as muchas possible on supplies.What items could the teachersbuy?

How many of each item would each student get?


How much money do the teachers have to return?


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MPS Lesson 17


Finish It Up! You are given the first step for solving each problem. Use this step to find the solution. Show your work on another sheet of paper.

1. Find 401 � 13 by first solving 400 � 10.401 � 13 �





Ongoing Review

6. Each square on the grid shows 1 squareblock. What is the shortest distance fromthe square to the triangle?

A. 3 blocks C. 4 blocks

B. 5 blocks D. 7 blocks


NOTE Students solve multiplication and division problems, using a given first step.

30–32, 38–39

5

4

3

2

1

01 2 3 4 5

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MPS Lesson 17


Counting PuzzlesSolve these problems. Use clear and concise notation in your solutions.

1. Ms. Jones’s class has 26 students and they count by thesame number. Each student says only one number. Thelast student to count says 1,040. By what number arethey counting?

2. Mr. Smith’s class counts by 75s. Each student says onlyone number. The last student to count says 2,025. Howmany students counted?

3. Ms. Plant’s room counts by 42s. Each student says onlyone number. The first student says 42, and the laststudent says 1,218. How many students counted?

DateNameHow Many People? How Many Teams? Homework

NOTE Students solve division problems.

38–39

- 69 -

MPS Lesson 17

- 70 -

Grade 5– Mathematics Unit 1: Numbers and Operations Student Work Lesson 18

Name ___________________________________Date _____________________

Lesson 18 Practice

1) 2)

3) 4)

9 9 1 2

6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7

6 9 5 7

8 8 6 9 9 2 0 7 7

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Name _______________________________Date _________________________

Lesson 18 Practice

5) Sarah has 634 pencils to give away. The pencils are in boxes of 100, packages of 10 and

individual pencils. She wants to share all 634 pencils equally with 8 people. How many

pencils will each person get?

Who is the problem about?

What is this problem about?

What is the question I am solving for?

Answer sentence: _______________________________________________________________

Model: Equation:

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Name ________________________________Date _________________________


Directions: Solve the problems using the blank templates to show all you work.

1) 826 4 = 2) 716 6 =

3) 613 5 4) 4,169 6 =

1) 2)

3) 4)

6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7

- 73 -


Name _______________________________Date _________________________


5) Thea has 299 skittles bought for her birthday party. She wants to share all 299 skittles

equally with 8 people. How many skittles will each person get?




Answer sentence: ______________________________________________________________

Model: Equation:

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Name _______________________________Date _________________________

Division Template

1) 2)

3) 4)

5) 6)

6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7

9 2 0 7 7 9 2 0 7 7

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Grade 5– Mathematics Unit 1 Student Work Lesson 18

Name ____________________________________Date _______________________________

1) You have 300 pieces of candy to sharefairly with 7 children. How many piecesof candy will each child receive?

Model and Workspace

Answer Sentence:

2) Each jar holds 8 ounces of liquid. If thereare 465 ounces in the pitchers, how manyjars will that fill?

Model and Workspace

Answer Sentence:

3) The rope is 2,563 feet long. How many 12-foot jump ropes can be made for the double dutch team?

Model and Workspace

Answer Sentence:

4) The ferry can hold 25 cars. How manytrips will it have to make to carry 476 carsacross the river?

Model and Workspace

Answer Sentence:

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Name _____________________________________Date ______________________________

5) 36 children are planning to share a bag of500 pieces of bubble gum. About howmany pieces would each child get?

Model and Workspace

Answer Sentence:

6) Henry has 1,050 marbles. He puts an equal amount of marbles into each of the 42 jars. How many marbles are in each jar?

Model and Workspace

Answer Sentence:

7) There are 156 students going on a classfield trip to the Como Zoo. The bus canhold 48 students. How many busses areneeded for the field trip?

Model and Workspace

Answer Sentence:

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Name ___________________________________________Date _________________________

8) At the factory that makes and boxescolored markers, there is a bin that holds1,683 markers. If the sorting machineput 24 markers into each box, how manyboxes can the machine fill?

Model and Workspace

Answer Sentence:

9) Ms. Esposito has 576 pencils. She has 20boxes of pencils and 8 packages of pencils.The box holds 24 pencils each. How manypencils are in each package, if the packagehas the same number of pencils?

Model and Workspace

Answer Sentence:

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Name _______________________________Date _________________________

Division Template

1) 2)

3) 4)

5) 6)

6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7

9 2 0 7 7 9 2 0 7 7

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Name ___________________________________Date _____________________

Lesson 19 Practice

1) 2)

3) 4)

8 8 2 30

6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7

9 3 4 25

48 7 36

8

9 2 0 7 7 9 2 0 7 7

59 1 2 2 7 98

5

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Name _______________________________Date _________________________

Lesson 19 Practice

5) Edward's dad bought 447 centimeters of string. If he wanted to cut the string into pieces

with each piece being 45 centimeters long, how many full sized pieces could he make?




Answer sentence: ______________________________________________________________

______________________________________________________________________________

Model: Equation:

- 81 -

- 82 -


Name _______________________________Date _________________________


Directions: Solve the problems using the blank templates to show all you work.

1) 8,640 60 = 2) 9,337 24 =

3) 3,942 11 = 4) 9,421 99 =

1) 2)

3) 4)

6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7 6 9 5 7

- 83 -


Name _______________________________Date _________________________


5) A box of computer paper has 1004 sheets left in it. If each printer in a computer lab needed

39 sheets how many printers would the box fill up?




Answer sentence: _______________________________________________________________

Model: Equation:

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Documents

Mrs. Rausch 5th Grade Math - Number and …...Investigations, Grade 5 Student Activity Book Second Edition Investigations IN NUMBER, DATA, AND SPACE Student Activity Book The Investigations