G5 U2 Constructed Response
Name: ________________________________________ Date:_______________
Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers TASK 1: Interpreting and Evaluating Expressions (CCSS 5.OA.1, 5.OA.2; SMP 1, 2, 3, 6, 7, 8)
1. Each Expression below represents a step in evaluating an expression. Place the letter of each step in the correct order and justify your answer. A { 85 − 4 44 − 7[2 − 0]} ÷ 2
B 85 − 4 × 30 ÷ 2
C { 85 − 4 44 − 7 × 2} ÷ 2
D 85 − 60 = 25
E 85 − 4{44 − 7 [2 − (3 − 3)]} ÷ 2
F 85 − 120 ÷ 2
Step
Explanation
Step 1: _______ Step 2: _______ Step 3: _______
Step 4: _______
Step 5: _______
Step 6: _______
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 2. Tobias bought 3 toy cars and 5 toy trains at the toy store. If each toy cost $4 a piece, how much money did Tobias spend? a. Write an expression that best represents the situation in the problem.
Answer: ____________________ b. Using the expression you wrote, find the amount Tobias spent on all the toys. Show your work.
Answer: ____________________ c. What properties or rules that you have learned before were useful when solving the expression?
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 3. Use the expressions below to answer the following questions: Expression A: (16 – 6) ÷ 5
Expression B: 16 − 6
a. Solve each expression and show your work.
Answer: Expression A: _________________ Expression B: _________________ b. After analyzing and solving each expression, explain the relationship between the two expressions. Justify your reasoning.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers TASK 2: Multiplication of Whole Numbers (CCSS: 5.NBT.5; SMP: 1, 2, 3, 4, 7)
4. a. Find the product of the expression below using the area model and the standard algorithm of multiplication. 24 × 13 = ? Area Model
Answer: _________________
Standard Algorithm
Answer: _________________
b. How does the area model relate to other concepts you have learned in mathematics?
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 5. Solve the expression below using the Distributive Property and the standard algorithm of multiplication. 642 × 24 Distributive Property
Standard Algorithm
Answer: _________________
Answer: _________________
b. Explain how understanding the distributive property can help you understand what is going on in the standard algorithm.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 6. Sofia solved the expression below using standard algorithm: 312 × 24 312 × 24 1248 + 624 1, 8 7 2 a. After analyzing her work and solution, write a critique in which you determine whether her process and answer are correct. If she is incorrect, identify and explain any mistakes in her work.
b. If Sofia’s process and answer were incorrect, show the proper way to solve an expression using standard algorithm and the correct answer.
Answer: _________________ Copyright © Swun Math Grade 5 Unit 2 Constructed Response, Page 6
Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers TASK 3: Division of Whole Numbers (CCSS: 5.OA.2, 5.NBT.5, 5.NBT.6 ; SMP: 1, 2, 4, 5, 6, 7, 8 )
7. Julianne has 480 marbles in her collection. She wants to place them into 20 small bags to sell. How many marbles does she need to place in each bag? a. Solve by decomposing the dividend using expanded notation. Show your work.
Answer: _____________________
b. How did this strategy help you find the solution to your answer?
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 8. A local farmer has 2, 025 boxes strawberries to distribute. If he needs to distribute strawberry boxes to 25 local market, how many boxes does he need to deliver to each market? a. Solve this problem with division using multiplication. Show all your steps in the process.
Answer: _________________________ b. After finding your solution, describe a strategy you can use to prove that your answer is correct.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 9. Anne and her geology class collected 180 different rocks. The place the rocks into containers that can hold 4 rocks each. Once the rocks are secure they place the containers into crates. Each crate can hold 10 boxes. Her instructor has four crates available to use. Anne’s Statement A. Four crates are not enough. B. Four crates will hold 160 rocks. C. Four crates will hold 45 boxes of rocks. D. The instructor needs to give the class more crates.
a. After analyzing the statements, determine which statement is incorrect and explain why.
b. Correct the statement by finding the number that will make it true based on the data you are given. After finding your answer rewrite her statement with the correct number.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers TASK 1: Interpreting and Evaluating Expressions (CCSS 5.OA.1, 5.OA.2; SMP 1, 2, 3, 6, 7, 8)
1. Each Expression below represents a step in evaluating an expression. Place the letter of each step in the correct order and justify your answer. A { 85 − 4 44 − 7[2 − 0]} ÷ 2
B 85 − 4 × 30 ÷ 2
C { 85 − 4 44 − 7 × 2} ÷ 2
D 85 − 60 = 25
E 85 − 4{44 − 7 [2 − (3 − 3)]} ÷ 2
F 85 − 120 ÷ 2
Step
Explanation
Step 1: _______ Step 2: _______ Step 3: _______
Step 4: _______
Step 5: _______
Step 6: _______
Copyright © Swun Math Grade 5 Unit 2 Constructed Response, Page 1
Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 2. Tobias bought 3 toy cars and 5 toy trains at the toy store. If each toy cost $4 a piece, how much money did Tobias spend? a. Write an expression that best represents the situation in the problem.
Answer: ____________________ b. Using the expression you wrote, find the amount Tobias spent on all the toys. Show your work.
Answer: ____________________ c. What properties or rules that you have learned before were useful when solving the expression?
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 3. Use the expressions below to answer the following questions: Expression A: (16 – 6) ÷ 5
Expression B: 16 − 6
a. Solve each expression and show your work.
Answer: Expression A: _________________ Expression B: _________________ b. After analyzing and solving each expression, explain the relationship between the two expressions. Justify your reasoning.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers TASK 2: Multiplication of Whole Numbers (CCSS: 5.NBT.5; SMP: 1, 2, 3, 4, 7)
4. a. Find the product of the expression below using the area model and the standard algorithm of multiplication. 24 × 13 = ? Area Model
Answer: _________________
Standard Algorithm
Answer: _________________
b. How does the area model relate to other concepts you have learned in mathematics?
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 5. Solve the expression below using the Distributive Property and the standard algorithm of multiplication. 642 × 24 Distributive Property
Standard Algorithm
Answer: _________________
Answer: _________________
b. Explain how understanding the distributive property can help you understand what is going on in the standard algorithm.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 6. Sofia solved the expression below using standard algorithm: 312 × 24 312 × 24 1248 + 624 1, 8 7 2 a. After analyzing her work and solution, write a critique in which you determine whether her process and answer are correct. If she is incorrect, identify and explain any mistakes in her work.
b. If Sofia’s process and answer were incorrect, show the proper way to solve an expression using standard algorithm and the correct answer.
Answer: _________________ Copyright © Swun Math Grade 5 Unit 2 Constructed Response, Page 6
Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers TASK 3: Division of Whole Numbers (CCSS: 5.OA.2, 5.NBT.5, 5.NBT.6 ; SMP: 1, 2, 4, 5, 6, 7, 8 )
7. Julianne has 480 marbles in her collection. She wants to place them into 20 small bags to sell. How many marbles does she need to place in each bag? a. Solve by decomposing the dividend using expanded notation. Show your work.
Answer: _____________________
b. How did this strategy help you find the solution to your answer?
Copyright © Swun Math Grade 5 Unit 2 Constructed Response, Page 7
Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 8. A local farmer has 2, 025 boxes strawberries to distribute. If he needs to distribute strawberry boxes to 25 local market, how many boxes does he need to deliver to each market? a. Solve this problem with division using multiplication. Show all your steps in the process.
Answer: _________________________ b. After finding your solution, describe a strategy you can use to prove that your answer is correct.
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Grade 5 Unit 2 Constructed Response Multiplication and Division of Whole Numbers 9. Anne and her geology class collected 180 different rocks. The place the rocks into containers that can hold 4 rocks each. Once the rocks are secure they place the containers into crates. Each crate can hold 10 boxes. Her instructor has four crates available to use. Anne’s Statement A. Four crates are not enough. B. Four crates will hold 160 rocks. C. Four crates will hold 45 boxes of rocks. D. The instructor needs to give the class more crates.
a. After analyzing the statements, determine which statement is incorrect and explain why.
b. Correct the statement by finding the number that will make it true based on the data you are given. After finding your answer rewrite her statement with the correct number.
Copyright © Swun Math Grade 5 Unit 2 Constructed Response, Page 9
