G3 U4 Constructed Response
Name: ________________________________________ Date:_______________
Grade 3 Unit 4 Constructed Response Applying Multiplication and Division TASK 1: Modeling with Equal Groups and Arrays (CCSS: 3.OA.3; SMP: 1, 4, 7)
1. Nick collects comic books. He currently has 72 comic books in his collection. How many shelves does he have in his bookcase if there are 9 books on each shelf? a. Write the equation that best represents the problem.
b. Find the number of shelves in the bookcase by modeling with equal groups. Show your work.
Answer: ___________________ c. After solving the problem, explain how modeling with groups helped you find your solution.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 2. Examine the array given below: o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
a. Write a numerical sentence that represents this array.
Answer: ______________________ b. Create a word problem using the above array and your equation from part A.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 3. a. Ricky and Nicco are planning for their league soccer banquet. The banquet hall is set up in rows of tables and holds a total of 105 people. If each team has 15 players, how many teams can attend the banquet at this location? Complete the table below by showing how to solve this problem by modeling with grouping and creating an array. Modelling By Grouping
Array
Answer: ________________ b. If Ricky and Nicco’s league has 19 teams, will this banquet hall be big enough for them to fit all the teams? Explain your reasoning.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division TASK 2: Using a Table to Model Multiplication and Division (CCSS: 3.OA.3; SMP: 1, 4, 7)
4. a. Samantha’s goal is to earn $44. The first week she earns $4. Each week after that, she earns $5 more than the week before. How many weeks will it take Samantha to reach or exceed her goal? Create a table to show how much money she earns each week and give your answer in complete sentences.
b. What observations can you make about the pattern in your table?
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 5. Simon bought 48 cookies for his family at their family reunion. His family ate 8 cookies per hour. How many hours did the cookies last? Create a table to show your work and give your answer in complete sentence.
b. Explain what your answer represents. What does your answer tell us about what is happening with the cookies?
6. Christina is selling necklaces at a craft fair. She places 2 bracelets in the first row on her table, 6 bracelets in the second, and then 10 in the third row. If she continues this pattern, how many buttons will be in the fourth row? Fifth row? Sixth row? Create a table to show how many bracelets will be in the sixth row, and give your answer in complete sentences.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division b. How many total bracelets did Christina set out for sale? Show your work.
Answer:___________________ c. Christina has four hours to display and sell her items at the craft fair. If she plans to sell an average of 12 bracelets per hour, will she have enough time to sell all of her bracelets? Show your work and explain your answer.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division TASK 3: Solving Equations (CCSS: 3.OA.3, 3.OA.4; SMP: 1,3, 4, 7)
7. Solve the following equation and create a model to show that your answer is correct. (Recall the different types of models you have learned.) 40 =
× 5
Answer: ___________________ b. How does the model you created support your answer?
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 8. How many differently sized equal groups can be made with 18 beads? Create a model for each of your group sizes and an equation to represent it. (Recall the different types of models you have learned.)
9. a. Joel and Michael are competing to see who can sell the most coupon books for a team fundraiser. Joel sold 6 coupon books per day for 16 days. Michael sold 80 coupon books, selling an equal number of books each day. Who sold the most coupon books? Create a model to represent your work.
b. If Joel sold the books for $3 each and Michael sold them for $4 each, who made the most money? Show your work and explain your answer?
Answer: ___________________
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division TASK 1: Modeling with Equal Groups and Arrays (CCSS: 3.OA.3; SMP: 1, 4, 7)
1. Nick collects comic books. He currently has 72 comic books in his collection. How many shelves does he have in his bookcase if there are 9 books on each shelf? a. Write the equation that best represents the problem.
b. Find the number of shelves in the bookcase by modeling with equal groups. Show your work.
Answer: ___________________ c. After solving the problem, explain how modeling with groups helped you find your solution.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 2. Examine the array given below: o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
o o o o o o o
a. Write a numerical sentence that represents this array.
Answer: ______________________ b. Create a word problem using the above array and your equation from part A.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 3. a. Ricky and Nicco are planning for their league soccer banquet. The banquet hall is set up in rows of tables and holds a total of 105 people. If each team has 15 players, how many teams can attend the banquet at this location? Complete the table below by showing how to solve this problem by modeling with grouping and creating an array. Modelling By Grouping
Array
Answer: ________________ b. If Ricky and Nicco’s league has 19 teams, will this banquet hall be big enough for them to fit all the teams? Explain your reasoning.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division TASK 2: Using a Table to Model Multiplication and Division (CCSS: 3.OA.3; SMP: 1, 4, 7)
4. a. Samantha’s goal is to earn $44. The first week she earns $4. Each week after that, she earns $5 more than the week before. How many weeks will it take Samantha to reach or exceed her goal? Create a table to show how much money she earns each week and give your answer in complete sentences.
b. What observations can you make about the pattern in your table?
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 5. Simon bought 48 cookies for his family at their family reunion. His family ate 8 cookies per hour. How many hours did the cookies last? Create a table to show your work and give your answer in complete sentence.
b. Explain what your answer represents. What does your answer tell us about what is happening with the cookies?
6. Christina is selling necklaces at a craft fair. She places 2 bracelets in the first row on her table, 6 bracelets in the second, and then 10 in the third row. If she continues this pattern, how many buttons will be in the fourth row? Fifth row? Sixth row? Create a table to show how many bracelets will be in the sixth row, and give your answer in complete sentences.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division b. How many total bracelets did Christina set out for sale? Show your work.
Answer:___________________ c. Christina has four hours to display and sell her items at the craft fair. If she plans to sell an average of 12 bracelets per hour, will she have enough time to sell all of her bracelets? Show your work and explain your answer.
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division TASK 3: Solving Equations (CCSS: 3.OA.3, 3.OA.4; SMP: 1,3, 4, 7)
7. Solve the following equation and create a model to show that your answer is correct. (Recall the different types of models you have learned.) 40 =
× 5
Answer: ___________________ b. How does the model you created support your answer?
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Grade 3 Unit 4 Constructed Response Applying Multiplication and Division 8. How many differently sized equal groups can be made with 18 beads? Create a model for each of your group sizes and an equation to represent it. (Recall the different types of models you have learned.)
9. a. Joel and Michael are competing to see who can sell the most coupon books for a team fundraiser. Joel sold 6 coupon books per day for 16 days. Michael sold 80 coupon books, selling an equal number of books each day. Who sold the most coupon books? Create a model to represent your work.
b. If Joel sold the books for $3 each and Michael sold them for $4 each, who made the most money? Show your work and explain your answer?
Answer: ___________________
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