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Tuesday, October 22 nd

Warm Up. Tuesday, October 22 nd. A. Write the correct Trig Ratio to find the missing side length Find the missing side length . 9 x . 39 ˚. B. C. Quiz Answers and Scores . 4 pts each. Skate Park Project due Thursday. Quiz Grade . Today’s Goal. Task

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Tuesday, October 22 nd

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  1. Warm Up Tuesday, October 22nd A Write the correct Trig Ratio to find the missing side length Find the missing side length 9 x 39˚ B C

  2. Quiz Answers and Scores 4 pts each

  3. Skate Park Projectdue Thursday Quiz Grade

  4. Today’s Goal Task Understand it a little better…

  5. Proofs of the Pythagorean Theorem Remember: a²+b²=c²

  6. Discussion Questions • For what kind of triangles is the Pythagorean Theorem True? • Is it true for any right triangle?

  7. Constructing a Proof • Describe how the blue triangle has moved • Watch what makes a square and what the side lengths are • Remember a squares side length is always sidelength²

  8. A Few More Animations…..

  9. Analyzing and Comparing • Describe what each student has done. • Will the approach lead to a proof of the theorem? • Explain how the work can be improved. • Compare the three solutions. • Whose solution method do you find most convincing? Why? • Produce a complete correct solution using your preferred method.

  10. Penelope’s Method

  11. Nadia’s Method

  12. Sophie’s Method

  13. Proving the Pythagorean Theorem (revisited)

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