# Proving the Pythagorean Theorem (8.G.B.6)

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Common Core Standards
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273 KB|4 pages
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This activity is great for showing students an easy proof of the Pythagorean Theorem in a step-by-step manner. Students will need coffee stirrers, beans, tape, and scissors. Students create a scalene right triangle using coffee stirrers. After taping this triangle down, they measure the lengths of the sides of the triangle. Students create a square off of the two smallest sides using the coffee stirrers, find the area of those squares based on the side measurements, and they fill those two squares with beans (I use small white Lima beans because they lie flat and they are a good size). After approximating how many beans are in the two squares, students create a square off of the larger side using coffee stirrers. Students predict how many beans are needed to fill the larger square and then they use the beans from the two smaller squares to fill the larger square. As students fill the larger square they see that the area of the two smaller squares is equal to the area of the larger square thus leading to the proof of the Pythagorean Theorem.
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4 pages
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