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The Pythagorean Theorem

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Author: lee cha
Description:

Objectives for the lesson:

Students will apply the Pythagorean Theorem to determine unknown side(s) of right triangles using pencil, straight edge and white paper.

Content Standards Addressed in the Lesson:

8.G.7: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

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Tutorial

Content Standards Addressed in the Lesson:

8.G.7: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Objectives for the lesson:

Students will apply the Pythagorean Theorem to determine unknown side(s) of right triangles using pencil, straight edge and white paper.

Big Idea Question: Where can we apply the Pythagorean Theorem in real-life? Think about construction sites, buildings and traveling.

History of the Pythagorean Theorem

The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras, who was the first to offer a proof of the theorem. But people had noticed the special relationship between the sides of a right triangle long before Pythagoras. Babylonia indicate that the Babylonians in the second millennium B.C., 1000 years before Pythagoras. A Chinese astronomical and mathematical treatise called Chou Pei Suang Ching, (The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven.) Ancient Indian mathematicians also knew the Pythagorean theorem, and the Sulbasutras discuss it in the context of strict requirements for the orientation, shape, and area of altars for religious purposes.