SOAR: Student Prompt Book
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1 SOAR: Student Prompt Book GRADES 3 and Up Operations and Algebraic Thinking: Multiplication and Division 2016 UNIVERSITY OF PITTSBURGH
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3 STUDENT PROMPT BOOK Operations and Algebraic Thinking: Multiplication and Division Table of Contents I. Approaches to Solving Multiplication and Division Situational Word Problems Equal Group Multiplication, solving for an unknown product Array/Area Multiplication, solving for an unknown product Equal Group Division, solving for an unknown number of groups Equal Group Measurement Division, solving for an unknown number of groups Array/Area Division, solving for an unknown number of groups Equal Group Division, solving for an unknown amount in each group Equal Group Measurement Division, solving for an unknown amount in each group Array/Area Division, solving for an unknown amount in each group Compare Multiplication, solving for an unknown product Compare Measurement Division, solving for the unknown scalar factor II. Interpreting Multiplication and Division Equations and Visual Models Interpreting a Multiplication Equation to a Visual Model Interpreting a Division Equation to a Visual Model III. Approaches to Solving Multiplication and Division Situational Word Problems One- and Two-Digit Factors Array/Area Multiplication, solving for an unknown product Equal Group Measurement Multiplication, solving for an unknown product Equal Group Division, solving for an unknown number of groups Array/Area Division, solving for an unknown amount in each group Compare Multiplication, solving for an unknown product Compare Multiplication, solving for an unknown product Compare Measurement Division, solving for the unknown multiplier/scalar factor Compare Measurement, solving for the unknown multiplier/scalar factor Compare Measurement, solving for an unknown referent set, a factor UNIVERSITY OF PITTSBURGH
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5 Category I: Approaches to Solving Multiplication and Division Situational Word Problems 2016 UNIVERSITY OF PITTSBURGH 1
6 2016 UNIVERSITY OF PITTSBURGH 2
7 1. Mary has 5 bags with 6 cookies in each bag. How many cookies does she have altogether? 2016 UNIVERSITY OF PITTSBURGH 3
8 2. The classroom has 6 rows of desks and each row has 7 desks. How many desks are in the classroom? 2016 UNIVERSITY OF PITTSBURGH 4
9 3. Jean has 18 pieces of candy. She wants to put 3 pieces of candy into each treat bag. If Jean wants to put all of her candy into treat bags, how many treat bags does Jean need? 2016 UNIVERSITY OF PITTSBURGH 5
10 4. Jean has 48 inches of rope. She cuts the entire rope into pieces that are 6 inches long. How many 6-inch pieces does she have? 2016 UNIVERSITY OF PITTSBURGH 6
11 5. Janice has 64 pieces of candy. She arranges them in a box with 8 pieces of candy per row. How many rows of candy will there be? 2016 UNIVERSITY OF PITTSBURGH 7
12 6. Jake has 24 stuffed animals. He puts an equal number of stuffed animals into each of 6 rooms in his house. How many stuffed animals go into each room? 2016 UNIVERSITY OF PITTSBURGH 8
13 7. Marshall is making wreath bows. He uses 45 inches of ribbon to make 5 bows that are the same size. How many inches of ribbon does he use for each of the bows? 2016 UNIVERSITY OF PITTSBURGH 9
14 8. There are 32 cans of soup stacked into 4 columns. How many cans of soup are in each stacked column? 2016 UNIVERSITY OF PITTSBURGH 10
15 9. Sam has 12 pencils. Sam s brother has 3 times as many pencils as Sam. How many pencils does Sam s brother have altogether? 2016 UNIVERSITY OF PITTSBURGH 11
16 10. An un-stretched rubber band is 7 centimeters long. When it is stretched it is 49 centimeters long. How many times shorter is the rubber band when it is not stretched than when it is stretched? 2016 UNIVERSITY OF PITTSBURGH 12
17 Category II: Interpreting Multiplication and Division Equations and Visual Models 2016 UNIVERSITY OF PITTSBURGH 13
18 2016 UNIVERSITY OF PITTSBURGH 14
19 11. Select the model(s) for 4 x 8? How does each selected model show 4 x 8? a. b. c. d. e UNIVERSITY OF PITTSBURGH 15
20 12. Select the model(s) for 54 9? How does each selected model show 54 9? a. b. c. d. = 9 inches 2016 UNIVERSITY OF PITTSBURGH 16
21 Category III: Approaches to Solving Multiplication and Division Situational Word Problems One- and Two-Digit Factors 2016 UNIVERSITY OF PITTSBURGH 17
22 2016 UNIVERSITY OF PITTSBURGH 18
23 13. The theater has 24 rows of seats. There are 9 seats in each row. How many seats are in the theater? 2016 UNIVERSITY OF PITTSBURGH 19
24 14. Lakeesha has 13 pieces of ribbon. Each ribbon is 18 inches in length. How many inches of ribbon does Lakeesha have altogether? 2016 UNIVERSITY OF PITTSBURGH 20
25 15. Deshawn puts 95 stamps into his stamp book. He puts 5 stamps onto each page. How many pages did he use for his 95 stamps? 2016 UNIVERSITY OF PITTSBURGH 21
26 16. Laurie has 168 pieces of candy. She arranges them on a tray into 12 rows. How many pieces of candy are in each row? 2016 UNIVERSITY OF PITTSBURGH 22
27 17. A sports video game costs $ A math video game costs 5 times as much as the sports video game costs. How much does the math video game cost? 2016 UNIVERSITY OF PITTSBURGH 23
28 18. John has 34 points in math. Jeanne has 6 times as many points than John. How many points does Jeanne have? 2016 UNIVERSITY OF PITTSBURGH 24
29 19. A trip from your house to the shopping center is 68 miles. A trip from your house to the movie is 17 miles. How many times further away is the shopping center than the movie theater from your house? 2016 UNIVERSITY OF PITTSBURGH 25
30 20. A sweater costs $78.00 and a shirt costs $ How many times as much does the sweater cost than the shirt? 2016 UNIVERSITY OF PITTSBURGH 26
31 21. Fred has 261 baseball cards. Sam has 3 times fewer baseball cards than Fred does. How many baseball cards does Sam have? 2016 UNIVERSITY OF PITTSBURGH 27
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