2.6 Unit Activity

​TASK 1: DIVISION

Bob is opening a store that will sell various kinds of fish and plants for aquariums. To start, he is organizing the fish and plants in the aquariums at the front of the store. He has 24 fish, 18 plants, and 5 fish tanks for the front of the store. He wants to divide the fish among the fish tanks as evenly as possible. He wants to put the plants only in the outer four fish tanks.

You’ll need to use the fish and plant images below to answer some of the questions in this activity. Insert the image into the response areas by copy and pasting the images as many times as you need to for the answers.

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Part A

Insert multiple images of the fish in the response area below to show how you can divide 24 fish into five groups. What is the remainder of this division? Hint: Group the fish into sets of 5, and count how many sets are there.

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Part B

Use division instead of the images to divide 24 by 5. What is the remainder?

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Part C

Are the answers in Part A and Part B the same?

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Part D

Now help Bob divide his water plants for the outer four aquariums. Insert images of the plant in the space below to show how you can divide 18 by 4.

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Part E

Use division instead of the images to divide 18 by 4. What is the quotient of the division? What is the remainder?

​TASK 2: FACTORS

Bob wants to distribute his fish and plants equally without having any left over. Help Bob find how many aquariums he needs. Use the fish and plant images to answer these questions. Insert the image of the fish and plant just like in Task 1’s introduction.

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Part A

Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set.

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Part B

Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.

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Part C

What is the largest number of identical sets that you can create by dividing the fish and plants evenly? Explain.

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TASK 3: DECIMAL NUMBERS

Bob wants to sell his fish and plants. He wants to make a profit from the sale.

Part A: Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.

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Part B

Bob wants to make a profit of $1.25 on each fish. How much should he sell each fish for to make this profit? Show your calculation.

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Part C

If he sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.

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Part D

Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.

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Part E

What is the price of a plant that is 5.5 inches high? Show your calculation.