Answer Key • Lesson 8: Workshop: Multiplication …mtb4dev.kendallhunt.com/teacher/pdf/g5/u04/G5_TG_U04_L08...Answer Key • Lesson 8: Workshop: Multiplication Strategies Workshop:

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TG • Grade 5 • Unit 4 • Lesson 8 • Answer Key 1

Answer Key • Lesson 8: Workshop: Multiplication Strategies

Workshop: Multiplication StrategiesMultiplication Digits GameTanya and Jerome were playing the Multiplication Digits Game. They wanted toget the largest product.

1. Tanya’s playing board looked like this:

A. Find Tanya’s product using the all-partials method.

B. Solve the problem a second way to check the reasonableness of youranswer.

2. Jerome’s playing board looked like this:

A. Find Jerome’s product using the compact method.

B. Solve the problem a second way to check the reasonableness of youranswer.

3. Who had the largest product?

Use a variety of multiplication strategies on the Practice Multiplication Strategiespages in the Student Activity Book. When you are finished, play MultiplicationDigits Game with a partner.

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7 4

8 6

8

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8 7

6 4

SG • Grade 5 • Unit 4 • Lesson 8 Workshop: Multiplication Strategies200

Copyright © Kendall H

unt Publishing Company

Student Guide - Page 200

Workshop: Multiplication Strategies SG • Grade 5 • Unit 4 • Lesson 8 201

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Use Strategies to Solve ProblemsAna is going to ride in a bike-a-thon this weekend to help raisemoney for charity. She asked family and friends to pledge acertain amount of money for every mile she rides. The coursefor thebike-a-thon is 26 miles long. Ana wrote all of herpledges on a table.

Self-Check: Questions 4

4. A. How much money will Ana raise for one mile?

B. How much total money willAna raise for riding all 26miles?

C. Explain the method youused to multiply inQuestion B. Why did youchoose that method?

D. Are you able to use avariety of multiplicationstrategies?

Use Self-Check: Question 4 and the Workshop Menu: Use Strategies to SolveProblems to review your progress with choosing and using a variety ofstrategies to multiply multidigit numbers and solve multistep problems.

Ana’

Name

s Bike-A-Thon PledgesAna’

per MilePledge

s Bike-A-Thon Pledges

Jackie, Grace, & MingAunt LauraUncle CarloMs. Davis

. MrMrsDadMom

gg

Jackie, Grace, & MingAunt LauraUncle CarloMs. Davis

Ortegas. Rodriguez

DadMom

per Mile

$1$5$2$3$3$2$3$3

GrandmaJackie, Grace, & Ming

o

GrandmaJackie, Grace, & Ming

G

$2$1

Working On It! Getting It! Got It!

Choose and use a variety of strategies to multiply multidigit numbers and solve multistep problems.

Estimate products.

I could use some extra help.I just needsome morepractice.

I’m readyfor a challenge.

Q# 8–9, 11, 13 Q# 6, 8–9, 11, 13 Q# 5, 7, 10–13

Workshop Menu: Use Strategies to Solve Problems

Can I Do This?

orking On It!d

WluoI c

orkshop Menu: Use Strategies to Solve PrW

Getting It!d

orking On It!eet nsI ju

orkshop Menu: Use Strategies to Solve Pr

Getting It!dee I

oblemsorkshop Menu: Use Strategies to Solve Pr

Got Got It!ydeam r’ICan I Do This?

multistep prnumbers and solve to multiply multidigit variety of strategies Choose and use a

Can I Do This?a hel

oblems.multistep prnumbers and solve to multiply multidigit variety of strategies Choose and use a

xtre mse sou d luoI c

Q# 8–9, 11, 13

.pa hele md .ceitcapr e momso eet nsI ju

Q# 6, 8–9, 11, 13Q# 8–9, 11, 13

. ere mo deec

Q# 5, 7, 10–13Q# 6, 8–9, 11, 13

fI .

Q# 5, 7, 10–13

egenllhac a rof ydeam rI

Estimate products.Estimate pr

d


Student Guide

Workshop: Multiplication Strategies (SG pp. 200–208)Questions 1–23

1. A.*

B.* Possible response:

2. A.*

B.* Possible response:

3.*Tanya4. A. $24

B. $624C. Responses will vary.D. Responses will vary.

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246364

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8 6�

7

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4

8 6�

7

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Compactmethod 74

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246

4

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348 5220

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6 4�

42

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7

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80 � 7 60 � 4

28320420

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*Answers and/or discussion are included in the lesson.

2 TG • Grade 5 • Unit 4 • Lesson 8 • Answer Key



5. Estimates will vary. Possible response:$1000 � 546 � $546,000

6. $8177. Answers will vary based on the cost of a

stamp. At $.44 per stamp, postage costs wouldbe 22 � $.44 � $9.68.

8. A. higherB. Estimates may vary. 550 � 4 = 2200

bottles of water9. 2752 energy bars

10. A. 464 timesB. Estimates may vary. About 12,000 times




5. A total of 546 riders are signed up for the bike-a-thon this year. Last year, atypical rider raised between $750 and $1375. Estimate how much moneythe bike-a-thon might raise this year.

6. At last year’s bike-a-thon, Ana’s pledges totaled $43 per mile, but thecourse was only 19 miles long. How much money did Ana raise last year?

7. After this year’s ride, Ana will send thank-you letters and collectionenvelopes to everyone on the list including her parents. Each collectionenvelope will need a stamp on it, and each letter will have to be stampedtoo. If Ana uses first-class stamps, how much will Ana spend on stamps?

8. Four water stations are being set up along the course. The organizer of thebike-a-thon wants to have enough water so that each of the 546 riders canhave one bottle of water at each station.

A. If you were going to estimate the number of bottles needed, should yourestimate be higher or lower than the actual number?

B. Based on your answer to Question A, estimate the number of bottles tobuy.

9. A food store donated 86 boxes of energy bars to give to riders at the reststations. There are 32 energy bars in each box. How many bars did thestore donate?

10. Ana once counted the number of times her feet went around with the pedalswhile riding her bicycle. When her bicycle was in fifth gear, her feet wentaround 58 times for 1�8 of a mile.

A. About how many times will her feet go around for each mile she ridesusing the same gear?

B. Estimate how many times her feet will go around the pedals if she usedthe same gear for the whole bike-a-thon.



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11. Each of the top 360 money-raisers receives a jacket at the end of thebike-a-thon. The race organizer made a table to figure out the cost of thejackets. Find the total cost for each size of the jackets and the total cost.

12. The organizer ordered 8 banners to hang across the road at differentplaces along the course. The printing company that made the bannerscharges $145 for each banner plus a one-time printing charge of $3 percharacter (a character is any letter or punctuation symbol). What is thetotal cost of all 8 banners?

13. To get ready for the bike-a-thon, Ana rides back and forth to hergrandmother’s house twice a week. The ride to her grandmother’s houseis 6 miles one way.

A. How many miles does Ana ride every week?

B. How many miles would Ana ride in a year if she kept riding to hergrandmother’s twice every week?

Annual Charity BikAnnual Char e-A-Thonity BikKEEP ON PED

Annual Char

GO RIDERS GO!AEEP ON PEDDALING!

ity BikAnnual Char

GO RIDERS GO!ALING!

e-A-Thonity Bik

dersJacket Orders

Size

geExtra LargeLar

MediumSmall

Or

$15$13$12$10

NumberPrice Cost

851059575

edderOrNumber Cost

A

ALTOTTAL

ge


Lesson 8: Workshop: Multiplication Strategies

11.

12. $131013. A. 24 miles

B. 1248 miles

$750 $1140 $1365

+ $1275$4530


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Use Strategies to Find Volume

Self-Check: Question 14

14. The shape in the sketch below is made of two identical boxes. Find theshape’s volume.

Use Self-Check: Question 14 and the Workshop Menu: Use Strategies to FindVolume to review your progress with using multiplication and divisionstrategies to find the area of rectangles and the volume of boxes in multistepproblems.

Solve the problems. You may use a calculator.

15. Find the volume of the box.

Working On It! Getting It! Got It!

Use multiplication and division strategies to find the area of rectangles and the volume of boxes in multistep problems.

I could use some extra help.I just needsome morepractice.

I’m readyfor a challenge.

Q# 15–17A–B, 18, 23

Q# 17B–C, 18–19, 21, 23

Q# 17C–D, 19–23

Workshop Menu: Use Strategies to Find Volume

Can I Do This?Can I Do This?

strategies to find and division Use multiplication

orking On It!

a h

strategies to find and division Use multiplication

W

Can I Do This?xtra e mse sou d luoI c

orkshop Menu: Use Strategies to Find VW

Q# 15–17A–B, 18,

Getting It!

.

orking On It!

pa hele md ceitcapr e momso t nsI ju

orkshop Menu: Use Strategies to Find V

18–19, 21, 23Q# 17B–C,

23Q# 15–17A–B, 18,

Got It!Getting It!

.ce ere mo deet nc

olumes to Find V Volume

Q# 17C–D, 19–2318–19, 21, 23

Q# 17B–C,

fIGot It!

.

Q# 17C–D, 19–23

egenllhac a rof ydeam r’I

multistep prvolume of boxes in ectangles and the r

ea of the arstrategies to find

oblems. multistep prvolume of boxes in ectangles and the

ea of strategies to find 18–19, 21, 2323 18–19, 21, 23

3 cm15 cm

7 cm

13 cm

12 cm

6 cm

9 cm



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16. Find the volume of the cube.

17. Copy the table and find the missing dimension. Include units.

9 cm

3

Volume of Boxes

Height Width Length Volume

A.

B.

C.

D.

8 cm

8 m

25 ft.

8 cm

25 ft.

50 m

640 m3

4,375 ft3.

125 m3

7 cm

8 m

5 m

1Student Guide - Page 205

14. 15 cm � 3 cm � 7 cm � 315 cm3;315 cm3 � 2 � 630 cm3

15. 936 cm3

16. 729 cm3

17. A. 448 cm3

B. 10 mC. 7 ft.D. 0.5 m





18. The volume of one of the following boxes is 1100 cm3. Write an “�” on thisbox.

19. Both boxes have the same volume. Find the length of Box B.

12

11

10

5

20

10

5

22

15

10

5 5

B

?

48 cm

12 cm

A

36 cm

24 cm

26 cm



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20. Three cubes are put together face-to-face. The volume of the box is 24 cm3.Find the height of one cube.

21. The following sketch is built from six identical boxes.

A. What is the volume of one box?

B. What is the volume of the shape?

?

9 cm

5 cm

12 cm


Lesson 8: Workshop: Multiplication StrategiesCopyright ©

Kendall Hunt Publishing Com

pany

18. The box with dimensions22 cm � 10 cm � 5 cm � 1100 cm3.

19. 39 cm

20. 2 cm21. A. 60 cm3

B. 360 cm3






22. The following sketch is built from a box and a cube. The volume is 2064 cm3.

A. Find the volume of the cube.

B. Find the volume of the box.

C. Find the height of the box.

Check-In: Question 23

23. The volume of the box is 48 cm3. Find the height.

Height

Play the Multiplication Digits Game for more practice using value concepts whenmultiplying.

4 cm

4 cm20 cm

?

?


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22. A. 64 cm3

B. 2064 cm3 � 64 cm3 � 2000 cm3

C. 2000 cm3 � 80 cm2 � 25 cm23.* 4 cm





1. Rectangle Model 8 � 798

Try This Strategy Another Strategy Estimation Strategy

700 90 8

8

22 �� 14 �

2. All-Partials

3. Expanded Form20 � 210 � 4

200

509� 73500

Name Date

SAB • Grade 5 • Unit 4 • Lesson 8 Workshop: Multiplication Strategies190



Student Activity Book - Page 190

4. Mental Math


71� 60

35� 54

5. Compact Method

6. Expanded Form

17� 98

Name Date

Workshop: Multiplication Strategies SAB • Grade 5 • Unit 4 • Lesson 8 191

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Lesson 8: Workshop: Multiplication Strategies

Student Activity Book

Practice Multiplication Strategies (SAB pp. 190–193) Questions 1–10

1.

2.

3.

4.

5.

6.

798� 8560072064

6384

798� 8

800 � 8 6400

700

5600 720 64

90 8

8

5600 � 720 � 64 � 6384

(500 � 7) � (9 � 7)3500 � 63 �

3563

509� 7

6335003563

509� 7

500� 73500

(22 � 10) � (22 � 4)220 � 88 �

3082008

8020

308

22� 14

22� 14

= 20 � 2= 10 � 4

22 �15 (22 � 10) � (22 � 5)

220 � 110 � 330

71� 60

70� 604200

70 � 60 � 42001 � 60 � 60

71� 60

0042604260

4200 � 60 � 4260

50

30 � 50 = 1500

5 � 50 = 250

30 � 4 = 120

5 � 4 = 20

4

30

5

35� 54

40� 502000

1500 � 120 � 250 � 20 � 1890

35� 54

14017501890

22

(100 � 17) � (2 � 17)1700 � 34 �

16665680

630900

1666

17� 98

100� 171700

17 � 10 � 7

� 98 � 90 � 81 1


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Check-In: Question 10

10. The problem is 67 � 35.

A. Estimate the product.

B. Tanya started to solve the problem using all-partials. Jerome startedto solve the problem using a rectangle model. Finish their work. Showeach of Tanya’s partial products in Jerome’s rectangle.

C. Show how to use expanded form or the compact method to solve 67 � 35.

D. Use your estimate in Question A to explain if your answer in Question C is reasonable.

35

67�35

Tanya’s Work: Jerome’s Work:

1800

Name Date

Workshop: Multiplication Strategies SAB • Grade 5 • Unit 4 • Lesson 8 193

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7. Compact Method


202� 51

577 � 43

8. Rectangle Model

9. All-Partials

863� 45

Name Date

SAB • Grade 5 • Unit 4 • Lesson 8 Workshop: Multiplication Strategies192




7.

8.

9.

10. A.* Possible respose: 70 � 30 = 2100B.*

C.*

D.* My estimate is close to my answer so Iknow it’s reasonable.

202� 51

200� 50

10,000

202 � 51

10,302�

202� 50

10,100

202� 51

20210,10010,302

202� 1202

500

40 � 500 = 20,000

3 � 500 = 1500

40 � 7 = 280

3 � 7 = 21

7

40 � 70 = 2800

3 � 70 = 210

70

40

3

577 � 43

173123,08024,811

2223

577� 43

600� 40

24,000

2000 � 2800 � 280 � 1500 � 210 � 21 � 24,811

863� 45

15300

4000120

24003200038,835

863� 454315

34,52038,835

3 12 1

863� 45

900� 4036,000

67� 35180021030035

2345

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1800

300

7

30

5

210

35

67

� 35

� 60 � 7

� 35 � 535

300210

18002345

67� 35

33520102345

3 2

1


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Answer Key • Lesson 8: Workshop: Multiplication …mtb4dev.kendallhunt.com/teacher/pdf/g5/u04/G5_TG_U04_L08...Answer Key • Lesson 8: Workshop: Multiplication Strategies Workshop: