G4 U3 Constructed Response
Name: ________________________________________ Date:_______________
Grade 4 Unit 3 Constructed Response Division TASK 1: Division Strategies (CCSS: 4.NBT.1, 4.NBT.5, 4.NBT.6; SMP: 1, 2, 4, 5, 7)
1. Analyze the problem below. 216 ÷ 3 = ? a. Explain the process necessary to find the answer by dividing using multiplication.
b. Solve the problem using the strategy you described above. Show all of your work.
Answer: ________________
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Grade 4 Unit 3 Constructed Response Division 2. Joe and his family pick 2,730 strawberries on their farm during the season. They need to distribute an equal amount of strawberries to 5 local super markets. How many strawberries will they distribute to each super market? a. Find your solution by using expanded notation. Show your work.
Answer: _____________________ b. How was your process for solving this problem similar to the process you used in Question 1?
c. Describe a method you could use to check that your solution is correct. Is there a mathematical operation that is important in this process?
d. Using the method you described above, prove that your answer is correct.
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Grade 4 Unit 3 Constructed Response Division 3. Analyze the expression below. 336 ÷ 6 = ? a. Model the solution to this problem using both the Area Model and the Place Value Model. Place Value Model
Area Model
b. After constructing the two models, write an explanation in which you compare and contrast the two models. How are they similar? Different?
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Grade 4 Unit 3 Constructed Response Division TASK 2: Division With Remainders (CCSS: 4.NBT.5, 4.NBT.6; SMP: 1, 2, 4, 5, 6, 7, 8)
4. a. Solve the expression below using the place value model. Show your work. 576 ÷ 5 = ?
Answer: ___________________________________ b. Explain how you can use estimation to check your answer.
5. a. Solve the expression below using the area model. Show your work. 975 ÷ 8 = ?
Answer: _______________________ Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 4
Grade 4 Unit 3 Constructed Response Division b. As you were working through the problem using the area model, explain how were you able to determine when you had a remainder.
6. Patty wrote the number 5,752. Her friend Matilda also wrote a four-digit number with only one 7 in it as well. The 7 in Matilda’s number is worth ten times less than the 7 in Patty’s number. a. In the boxes below write two different numbers that Matilda could have written.
b. Write an explanation in which you discuss how you know that the 7 in Matilda’s number is worth ten times less than Lisa’s.
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Grade 4 Unit 3 Constructed Response Division TASK 3: Division in Comparison/Multi-step Word Problems and Patterns (CCSS: 4.OA.2, 4.OA.3, 4.OA.5; SMP: 1, 2, 3, 4, 5, 6)
7. a. Complete the function table below: Input Output
w x
18 0
27 1
36 2
45
54
63
b. Write the rule that best represents the pattern. Answer: _________________ c. After completing the table, identify any features you observed in the pattern.
8. Elijah has 54 cans of paint he needs to place in boxes. He estimates that each box will hold 6 cans of paint. After placing the cans in the boxes, his brother brings him 18 more cans of paint. a. How many boxes of paint does he have after he has put all the paint cans into boxes?
Answer: ___________________
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Grade 4 Unit 3 Constructed Response Division b. What operation or operations were important when finding your answer? Explain your reasoning.
9. a. Amelia drove 356 miles on the first day of her road trip. She drove four times as many miles as she did on her last day of driving. How many miles did she drive on the last day? Show your work.
Answer: ________________________ b. What information was given that helped you develop a strategy to solve this problem? Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 7
Grade 4 Unit 3 Constructed Response Division
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Grade 4 Unit 3 Constructed Response Division TASK 1: Division Strategies (CCSS: 4.NBT.1, 4.NBT.5, 4.NBT.6; SMP: 1, 2, 4, 5, 7)
1. Analyze the problem below. 216 ÷ 3 = ? a. Explain the process necessary to find the answer by dividing using multiplication.
b. Solve the problem using the strategy you described above. Show all of your work.
Answer: ________________
Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 1
Grade 4 Unit 3 Constructed Response Division 2. Joe and his family pick 2,730 strawberries on their farm during the season. They need to distribute an equal amount of strawberries to 5 local super markets. How many strawberries will they distribute to each super market? a. Find your solution by using expanded notation. Show your work.
Answer: _____________________ b. How was your process for solving this problem similar to the process you used in Question 1?
c. Describe a method you could use to check that your solution is correct. Is there a mathematical operation that is important in this process?
d. Using the method you described above, prove that your answer is correct.
Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 2
Grade 4 Unit 3 Constructed Response Division 3. Analyze the expression below. 336 ÷ 6 = ? a. Model the solution to this problem using both the Area Model and the Place Value Model. Place Value Model
Area Model
b. After constructing the two models, write an explanation in which you compare and contrast the two models. How are they similar? Different?
Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 3
Grade 4 Unit 3 Constructed Response Division TASK 2: Division With Remainders (CCSS: 4.NBT.5, 4.NBT.6; SMP: 1, 2, 4, 5, 6, 7, 8)
4. a. Solve the expression below using the place value model. Show your work. 576 ÷ 5 = ?
Answer: ___________________________________ b. Explain how you can use estimation to check your answer.
5. a. Solve the expression below using the area model. Show your work. 975 ÷ 8 = ?
Answer: _______________________ Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 4
Grade 4 Unit 3 Constructed Response Division b. As you were working through the problem using the area model, explain how were you able to determine when you had a remainder.
6. Patty wrote the number 5,752. Her friend Matilda also wrote a four-digit number with only one 7 in it as well. The 7 in Matilda’s number is worth ten times less than the 7 in Patty’s number. a. In the boxes below write two different numbers that Matilda could have written.
b. Write an explanation in which you discuss how you know that the 7 in Matilda’s number is worth ten times less than Lisa’s.
Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 5
Grade 4 Unit 3 Constructed Response Division TASK 3: Division in Comparison/Multi-step Word Problems and Patterns (CCSS: 4.OA.2, 4.OA.3, 4.OA.5; SMP: 1, 2, 3, 4, 5, 6)
7. a. Complete the function table below: Input Output
w x
18 0
27 1
36 2
45
54
63
b. Write the rule that best represents the pattern. Answer: _________________ c. After completing the table, identify any features you observed in the pattern.
8. Elijah has 54 cans of paint he needs to place in boxes. He estimates that each box will hold 6 cans of paint. After placing the cans in the boxes, his brother brings him 18 more cans of paint. a. How many boxes of paint does he have after he has put all the paint cans into boxes?
Answer: ___________________
Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 6
Grade 4 Unit 3 Constructed Response Division b. What operation or operations were important when finding your answer? Explain your reasoning.
9. a. Amelia drove 356 miles on the first day of her road trip. She drove four times as many miles as she did on her last day of driving. How many miles did she drive on the last day? Show your work.
Answer: ________________________ b. What information was given that helped you develop a strategy to solve this problem? Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 7
Grade 4 Unit 3 Constructed Response Division
Copyright © Swun Math Grade 4 Unit 3 Constructed Response, Page 8
