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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.
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
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GrandmaJackie, Grace, & Ming
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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
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Student Guide - Page 201
Student Guide
Workshop: Multiplication Strategies (SG pp. 200–208)Questions 1–23
1. A.*
B.* Possible response:
2. A.*
B.* Possible response:
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*Answers and/or discussion are included in the lesson.
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.
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
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
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ea of strategies to find 18–19, 21, 2323 18–19, 21, 23
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