7th Math Formative Items (7th Math Formative Items)curriculum.cowetaschools.org/images/Math/MS... · 7th_Math_Formative_Items (7th_Math_Formative_Items) 1. 2. A valve is opened and

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1. The table shows the number of edges, faces, and vertices for different types of prisms.

Which statement is correct?

A. The number of edges of a prism is proportional to the number of faces.

B. The number of faces of a prism is proportional to the number of vertices.

C. The number of vertices of a prism is proportional to the number of edges.

D. The number of edges, faces, and vertices are proportional to each other.

7th_Math_Formative_Items (7th_Math_Formative_Items)

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2. A valve is opened and water starts to fill an empty swimming pool at a constant rate. The table shows the volumeof water in the pool at various time intervals after the valve is opened.

Part AWhat is the rate at which the water is flowing into the pool? Show your work or explain your answer.

Part BUsing the rate you calculated in Part A, write an equation which could be used to calculate the volume of water in thepool, V , for any number of minutes, t , after the valve was opened.

Part CThe pool has a volume of 28,800 cubic feet. If the rate at which the pool is filling remains constant, what percent ofthe swimming pool is filled with water after 1.25 hours? Use the equation you wrote in Part B to show your work.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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7th_Math_Formative_Items (7th_Math_Formative_Items)

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3. A company is contracted to create a large triangular sign proportional to the dimensions of the ice cream cones a

store sells. The cones the store sells are inches wide and 6 inches tall.

Part AThe company delivers a sign that has a height of 15 feet and a width of 8 feet. The store owner says the sign thecompany made is not proportional to the ice cream cones sold in the store. Is the store owner correct? Explain youranswer.

Part B

The company is going to design 2 more signs that are proportional. The first sign should have a height of feet.

The second sign should have a width of feet. Create a drawing for both signs and label the dimensions. Show yourwork.

Part C

A graph shows the dimensions of the original cone graphed as the point on a coordinate grid. The point

is also graphed. Explain how the number can be used to determine the dimensions for other proportionalsigns.

Be sure to complete ALL parts of the task.Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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7th_Math_Formative_Items (7th_Math_Formative_Items)

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7th_Math_Formative_Items (7th_Math_Formative_Items)

Answer Key

1. C) The number of vertices of a prism is proportional to the number of edges.

2.

3.

Anchor 2

The student demonstrates a basic understanding of the mathematical concepts being measured. The student correctly answers two of the three parts (Part A and Part C) with the correct work / explanation. Part B is incorrect.

Anchor 1

The student demonstrates a minimal understanding of the mathematical concepts being measured. Parts B and C are incorrect, but Part C is correct and the explanation is just adequate to explain that the 2.4 value is a constant of proportionality.

Anchor 1

The student demonstrates a minimal understanding of the mathematical concepts being measured. Part A is correct and the student shows the correct proportions. Part B is incorrect and the student did not complete Part C.

Anchor 1

The student demonstrates a minimal understanding of the mathematical concepts being measured. The student correctly answers one of the parts, Part A. The student made a math error while cross-multiplying, but he set up the proportion correctly. Parts B and C are incorrect.