G5 U3 Constructed Response
Name: ________________________________________ Date:_______________
Grade 5 Unit 3 Constructed Response Decimals TASK 1: Addition and Subtraction of Decimals (CCSS 5.NBT.7; SMP 1, 2, 4, 5, 6)
1. Kimberly wants to buy ingredients for her trail mix. She saw cashews for $3.15 a pound and cranberries for $4.65 a pound. If she wants to buy a pound of each, how much money will she need to buy the fruit? a. Explain how you would solve this problem by using the number line strategy.
b. Solve the problem using the number line strategy and the steps you gave above.
Answer: ______________________
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Grade 5 Unit 3 Constructed Response Decimals 2. The diagram below shows the process used to subtract two numbers:
Ones
Tenths
Hundredths
.
. a. Write the equation that represents what is happening in this situation.
Answer: ____________________ b. Using your knowledge of the place value strategy, explain how you were able to write the subtraction sentence that represents the diagram.
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Grade 5 Unit 3 Constructed Response Decimals 3. Marty measured the growth of his orange tree. In four months the orange tree grew 17.1 inches. It grew 2.25 inches during the first month, 3.45 inches during the second month, and 5.05 inches during the third month. How many inches did the orange tree grow during the fourth month? a. Write a mathematical equation that can be used to find the solution.
Answer: _________________ b. Using your equation, find the number of inches the orange tree grew during the fourth month. Show your work.
Answer: _________________ c. Explain the process you used to find your solution.
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Grade 5 Unit 3 Constructed Response Decimals TASK 2: Multiplication of Decimals (CCSS: 5.NBT.7; SMP: 2, 5, 7, 8)
4. a. Solve the problem using the area model. Show detailed and organized steps in your work. 4 × 6.34 = ?
Answer: ____________________________ b. How does the area model relate to the area models you have done before for whole numbers? How are they different?
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Grade 5 Unit 3 Constructed Response Decimals 5. Solve the expression below using the Distributive Property. Complete the table by showing your work and explaining each step. (Number each step). 14 × 5.6 Mathematical Process
Explanation of Steps
Answer: _______________
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Grade 5 Unit 3 Constructed Response Decimals 6. a. Taylor charges $12.50 per hour for pet sitting. On Tuesday she watched her neighbor’s dog for 6.5 hours. How much did she earn that day? Solve this problem using one of the strategies you have learned. Show your work.
Answer: _____________________ b. Identify the strategy you chose to solve the problem. Was your strategy the most efficient to solve this problem? Why or why not?
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Grade 5 Unit 3 Constructed Response Decimals TASK 3: Division of Decimals (CCSS: 5.NBT.7; SMP: 1, 2, 4, 5, 6, 7, 8)
7. Chris has 2.85 pounds of clay. To make one clay sculpture he needs 0.15 pounds of clay. How many sculptures can he make with what he has? a. Write a division sentence that best represents this problem.
Answer: ____________________ b. Solve this problem using the measuring up strategy. Show your work on the grid below
Answer: _____________________
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Grade 5 Unit 3 Constructed Response Decimals 8. Sarah has 1.68 pounds of blueberries she wants to distribute equally into 6 pies. How much blueberry topping will each pie get? a. Write a division sentence that best represents this problem. Answer: ____________________ b. Represent the quantity of blueberries that Sarah has on the grid below.
b. Solve this problem using the dealing strategy. Show your work on the grid below.
Answer: ______________________
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Grade 5 Unit 3 Constructed Response Decimals 9. On a test for math class, Oscar divided 7.14 by 7 and got a quotient of 1.2. His answer was marked incorrect on the test. Find the correct quotient and identify the error Oscar made in his answer.
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Grade 5 Unit 3 Constructed Response Decimals TASK 1: Addition and Subtraction of Decimals (CCSS 5.NBT.7; SMP 1, 2, 4, 5, 6)
1. Kimberly wants to buy ingredients for her trail mix. She saw cashews for $3.15 a pound and cranberries for $4.65 a pound. If she wants to buy a pound of each, how much money will she need to buy the fruit? a. Explain how you would solve this problem by using the number line strategy.
b. Solve the problem using the number line strategy and the steps you gave above.
Answer: ______________________
Copyright © Swun Math Grade 5 Unit 3 Constructed Response, Page 1
Grade 5 Unit 3 Constructed Response Decimals 2. The diagram below shows the process used to subtract two numbers:
Ones
Tenths
Hundredths
.
. a. Write the equation that represents what is happening in this situation.
Answer: ____________________ b. Using your knowledge of the place value strategy, explain how you were able to write the subtraction sentence that represents the diagram.
Copyright © Swun Math Grade 5 Unit 3 Constructed Response, Page 2
Grade 5 Unit 3 Constructed Response Decimals 3. Marty measured the growth of his orange tree. In four months the orange tree grew 17.1 inches. It grew 2.25 inches during the first month, 3.45 inches during the second month, and 5.05 inches during the third month. How many inches did the orange tree grow during the fourth month? a. Write a mathematical equation that can be used to find the solution.
Answer: _________________ b. Using your equation, find the number of inches the orange tree grew during the fourth month. Show your work.
Answer: _________________ c. Explain the process you used to find your solution.
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Grade 5 Unit 3 Constructed Response Decimals TASK 2: Multiplication of Decimals (CCSS: 5.NBT.7; SMP: 2, 5, 7, 8)
4. a. Solve the problem using the area model. Show detailed and organized steps in your work. 4 × 6.34 = ?
Answer: ____________________________ b. How does the area model relate to the area models you have done before for whole numbers? How are they different?
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Grade 5 Unit 3 Constructed Response Decimals 5. Solve the expression below using the Distributive Property. Complete the table by showing your work and explaining each step. (Number each step). 14 × 5.6 Mathematical Process
Explanation of Steps
Answer: _______________
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Grade 5 Unit 3 Constructed Response Decimals 6. a. Taylor charges $12.50 per hour for pet sitting. On Tuesday she watched her neighbor’s dog for 6.5 hours. How much did she earn that day? Solve this problem using one of the strategies you have learned. Show your work.
Answer: _____________________ b. Identify the strategy you chose to solve the problem. Was your strategy the most efficient to solve this problem? Why or why not?
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Grade 5 Unit 3 Constructed Response Decimals TASK 3: Division of Decimals (CCSS: 5.NBT.7; SMP: 1, 2, 4, 5, 6, 7, 8)
7. Chris has 2.85 pounds of clay. To make one clay sculpture he needs 0.15 pounds of clay. How many sculptures can he make with what he has? a. Write a division sentence that best represents this problem.
Answer: ____________________ b. Solve this problem using the measuring up strategy. Show your work on the grid below
Answer: _____________________
Copyright © Swun Math Grade 5 Unit 3 Constructed Response, Page 7
Grade 5 Unit 3 Constructed Response Decimals 8. Sarah has 1.68 pounds of blueberries she wants to distribute equally into 6 pies. How much blueberry topping will each pie get? a. Write a division sentence that best represents this problem. Answer: ____________________ b. Represent the quantity of blueberries that Sarah has on the grid below.
b. Solve this problem using the dealing strategy. Show your work on the grid below.
Answer: ______________________
Copyright © Swun Math Grade 5 Unit 3 Constructed Response, Page 8
Grade 5 Unit 3 Constructed Response Decimals 9. On a test for math class, Oscar divided 7.14 by 7 and got a quotient of 1.2. His answer was marked incorrect on the test. Find the correct quotient and identify the error Oscar made in his answer.
Copyright © Swun Math Grade 5 Unit 3 Constructed Response, Page 9
