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Warm up

Warm up. Make a chart in your notes of the perfect squares from 1 to 20. For Example: 1 2 = 1 2 2 = 4. Pythagorean Theorem. Year 2 Sections 9.1 and 9.2. Pythagoras was a Greek philosopher and teacher He lived from 569 to 495 B. C. Often described as the “first pure mathematician”.

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Warm up

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  1. Warm up Make a chart in your notes of the perfect squares from 1 to 20. For Example: 12 = 1 22 = 4

  2. Pythagorean Theorem Year 2 Sections 9.1 and 9.2

  3. Pythagoras was a Greek philosopher and teacher He lived from 569 to 495 B. C. Often described as the “first pure mathematician” Old Greek Guy

  4. The Theorem itself • For right triangles, where aand b are the legs and c is the hypotenuse of the triangle. • There are more than 200 known proofs. • Check out a proof of the Theorem online at http://www.keymath.com/x19481.xml

  5. Wall Example • How high up a wall will a 20’ ladder touch if the ladder is placed 5’ from the wall? Step 1: Identify the hypotenuse and label it “c” Ladder 20’ Step 2: Label the other two sides as “a” and “b” hypotenuse b c Step 3: Plug in and solve. 5’ a or

  6. Solve for the missing side. Ex. 1 Ex. 2 5 y x = 3 1 Ex. 3 4 2 6 z = 5

  7. Pythagorean Triples • Any three positive integers which fit the Pythagorean equation are called Pythagorean Triples. • Common Pythagorean Triples are… 3, 4, 5 5, 12, 13 7, 24, 25

  8. Homework • Worksheet 9.1

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