Name: Kendall
Benchmark III, Grade Level 6, Strand - Geometry
Teacher Mrs. Huffman, Date April 23, 1999

Problem: "The Wasted Sheet Metal Problem," a Geometry problem.

A circle is cut from a square piece of sheet metal that measures forty cm. on a side. How many square centimeters of waste are there? 40 cm.

Kendall's response:
What I need to do to solve this problem: I need to find the area of the square and the area of the circle. Then I need to subtract the area of the circle from the area of the square.

How I solved this problem:

[Kendall drew and labeled a radius on the circle above. She labeled the length of the radius as "20 cm."]
"I found the radius of the circle and timesed it by itself and then by pi."

[Work shown:] 20 x 20 = 400 sq. cm., 3.14 x 400 = 1256 sq. cm. "Area of circle = 1256 sq. cm."

"I found the area of the whole square (l x w)." [Work shown:] 40 x 40 = 1600 sq. cm.

"Then I subtracted the area of the circle from the area of the square which would equal the waste metal." [Work shown:] 1600 - 1256 = 344 sq. cm.

Answer: 344 sq. cm.

How I checked my work: Kendall reworked all computations.

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