G3 U3 Constructed Response
Name: ________________________________________ Date:_______________
Grade 3 Unit 3 Constructed Response Understanding Division TASK 1: Relating Multiplication and Division (CCSS: 3.OA.6; SMP: 1, 7)
1. Examine the following problem: 72 ÷ 8 = ? a. Identify a math tool you can use to solve this division problem. Explain why this tool would be useful in this situation.
b. Use the math tool you identified to solve the problem.
Answer: ___________________
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Grade 3 Unit 3 Constructed Response Understanding Division 2. a. Find the missing number in the fact family below: 3
× ×
21
÷
21
÷
3
3
=
21
=
21
=
3
=
b. Use the math tool you identified in question 1 to prove that your answers are correct .
c. Explain how using this math tool proves that your answer is correct.
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Grade 3 Unit 3 Constructed Response Understanding Division 3. Nicholas planted orange trees on his farm. There are 48 total plants separated into 8 rows. How many plants are in each row? Solve the problem and write the fact family that supports your answer in box 1. Next, explain how the answer changes if the students line up in 8 rows in box 2 1.
2.
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Grade 3 Unit 3 Constructed Response Understanding Division TASK 2: Division as Sharing (CCSS: 3.OA.2; SMP: 1, 4, 7)
4. Marley sold 63 muffins at her bakery last week. How many muffins on average did she sell each day? a. Explain the meaning of the problem and describe a starting point for finding the solution.
b. Write a division sentence to represent the situation. Average: ___________________ c. Find the number of muffins Marley sold per day using you strategy and equation.
Average: ___________________
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Grade 3 Unit 3 Constructed Response Understanding Division d. Create an illustration to prove that your answer is correct.
5. Ryan brought 20 boxes of markers to class, and he equally shared them among 5 tables. How many boxes of markers did each table receive? a. Write a division sentence to represent the situation. Average: ___________________ b. Find how many boxes of markers each table received. Show your work.
Average: ___________________ c. How does this question relate division to sharing?
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Grade 3 Unit 3 Constructed Response Understanding Division 6. Solve the same problem in three different ways. a. Divide 18 boxes of cookies among 5 people. b. Divide 18 crayons among 5 people. c. Divide 18 pennies among 5 people. You must draw a picture/array to explain how you found the answers, and include a written equation in your answer. a.
b.
c.
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Grade 3 Unit 3 Constructed Response Understanding Division TASK 3: Division as Grouping (CCSS: 3.OA.2; SMP: 1, 4, 7)
7. Arnold needs to buy 36 cups. If there are 6 cups in each pack, how many packs of cups should Arnold buy? a. Write a division equation to represent the situation described.
Answer: _______________________ b. Explain what each number in your equation represents.
c. Draw a number line to solve the problem.
Answer: _______________________
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Grade 3 Unit 3 Constructed Response Understanding Division 8. a. Examine the problem below. Underline any important information that is needed to solve the problem. A toy boat travels 8 inches across the water in 1 second. How long will it take for the toy boat to travel 40 inches?
b. Draw a number line to solve the problem.
Answer: _______________________
c. After drawing your number line, write a division equation to represent the situation.
Answer: _______________________
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Grade 3 Unit 3 Constructed Response Understanding Division 9. There were 18 players on a water polo team. Solve each problem and show your work. a. The coach wanted to do warm-ups with 6 players in each row. How many rows would the coach make?
b. The coach wanted to practice plays in groups of 9 players. How many groups would he need to make?
c. The coach wanted to practice layups in groups of 4 players. How many groups would he need to make?
d. The coach wanted to practice passing in groups of 2 players. How many groups would he need to make?
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Grade 3 Unit 3 Constructed Response Understanding Division TASK 1: Relating Multiplication and Division (CCSS: 3.OA.6; SMP: 1, 7)
1. Examine the following problem: 72 ÷ 8 = ? a. Identify a math tool you can use to solve this division problem. Explain why this tool would be useful in this situation.
b. Use the math tool you identified to solve the problem.
Answer: ___________________
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Grade 3 Unit 3 Constructed Response Understanding Division 2. a. Find the missing number in the fact family below: 3
× ×
21
÷
21
÷
3
3
=
21
=
21
=
3
=
b. Use the math tool you identified in question 1 to prove that your answers are correct .
c. Explain how using this math tool proves that your answer is correct.
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Grade 3 Unit 3 Constructed Response Understanding Division 3. Nicholas planted orange trees on his farm. There are 48 total plants separated into 8 rows. How many plants are in each row? Solve the problem and write the fact family that supports your answer in box 1. Next, explain how the answer changes if the students line up in 8 rows in box 2 1.
2.
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Grade 3 Unit 3 Constructed Response Understanding Division TASK 2: Division as Sharing (CCSS: 3.OA.2; SMP: 1, 4, 7)
4. Marley sold 63 muffins at her bakery last week. How many muffins on average did she sell each day? a. Explain the meaning of the problem and describe a starting point for finding the solution.
b. Write a division sentence to represent the situation. Average: ___________________ c. Find the number of muffins Marley sold per day using you strategy and equation.
Average: ___________________
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Grade 3 Unit 3 Constructed Response Understanding Division d. Create an illustration to prove that your answer is correct.
5. Ryan brought 20 boxes of markers to class, and he equally shared them among 5 tables. How many boxes of markers did each table receive? a. Write a division sentence to represent the situation. Average: ___________________ b. Find how many boxes of markers each table received. Show your work.
Average: ___________________ c. How does this question relate division to sharing?
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Grade 3 Unit 3 Constructed Response Understanding Division 6. Solve the same problem in three different ways. a. Divide 18 boxes of cookies among 5 people. b. Divide 18 crayons among 5 people. c. Divide 18 pennies among 5 people. You must draw a picture/array to explain how you found the answers, and include a written equation in your answer. a.
b.
c.
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Grade 3 Unit 3 Constructed Response Understanding Division TASK 3: Division as Grouping (CCSS: 3.OA.2; SMP: 1, 4, 7)
7. Arnold needs to buy 36 cups. If there are 6 cups in each pack, how many packs of cups should Arnold buy? a. Write a division equation to represent the situation described.
Answer: _______________________ b. Explain what each number in your equation represents.
c. Draw a number line to solve the problem.
Answer: _______________________
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Grade 3 Unit 3 Constructed Response Understanding Division 8. a. Examine the problem below. Underline any important information that is needed to solve the problem. A toy boat travels 8 inches across the water in 1 second. How long will it take for the toy boat to travel 40 inches?
b. Draw a number line to solve the problem.
Answer: _______________________
c. After drawing your number line, write a division equation to represent the situation.
Answer: _______________________
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Grade 3 Unit 3 Constructed Response Understanding Division 9. There were 18 players on a water polo team. Solve each problem and show your work. a. The coach wanted to do warm-ups with 6 players in each row. How many rows would the coach make?
b. The coach wanted to practice plays in groups of 9 players. How many groups would he need to make?
c. The coach wanted to practice layups in groups of 4 players. How many groups would he need to make?
d. The coach wanted to practice passing in groups of 2 players. How many groups would he need to make?
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