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Pythagorean Theorem

Pythagorean Theorem. 8 th grade JITT – October 29, 2012 Submitted by rachel.kennedy@cmcss.net Pythagorean Theorem – GLE 0606.4.1 and associated CFUs and SPIs January 7-23 in pacing. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only!.

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Pythagorean Theorem

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  1. Pythagorean Theorem 8th grade JITT – October 29, 2012 Submitted by rachel.kennedy@cmcss.net Pythagorean Theorem – GLE 0606.4.1 and associated CFUs and SPIs January 7-23 in pacing

  2. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! - always opposite the right angle hypotenuse leg leg

  3. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c a leg b leg

  4. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! hypotenuse c a b a b

  5. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! Pythagorean Theorem c a b

  6. Solve for x. x 6 8

  7. Solve for y. 7 4 y

  8. Solve for t. 6 t 15

  9. Pythagorean Triples 3 4 5 6 8 10 9 12 15 12 16 20

  10. Pythagorean Triples 3 4 5 5 12 13 7 24 25 6 8 10 10 24 26 14 48 50 9 12 15 15 36 39 21 72 75 12 16 20 12 9 15

  11. To the nearest tenth of a foot, find the length of the diagonal of a rectangle with a width of 4 feet and a length of 10 feet. x 4 ft. 10 ft.

  12. A car drives 20 miles due east and then 45 miles due south. To the nearest hundredth of a mile, how far is the car from its starting point? 20 miles x 45 miles

  13. Informal Proof #1 Inscribe a square within the square.

  14. Informal Proof #1 a b c a b c c b c a b a

  15. a Informal Proof #1 b c a b c a b c c b c a b a

  16. a Informal Proof #1 b c b c a c b c a b a

  17. a Informal Proof #1 b c b c b c a a c b c a b a

  18. a Informal Proof #1 b c b c b c a a c a b

  19. a Informal Proof #1 b c b c b c a a b c a c a b

  20. a Informal Proof #1 b c c b a b c a c a b

  21. a Informal Proof #1 b c c b a b c a c a c a b b

  22. a Informal Proof #1 b c c b a b c a c a b

  23. a Informal Proof #1 b c c b a b c a c a b

  24. a Informal Proof #1 b c a c b b c a b c a c a b

  25. Informal Proof #1 a c b b c a c b b a c a c a b

  26. Informal Proof #1 a b c c b b a c a c a c a b b

  27. Informal Proof #1 a b c c b b a b c a c a c a b

  28. Informal Proof #1 a b c c b a b c a c a b

  29. Informal Proof #2 a + b - Total Purple Yellow Area Area Area = a b - = c a b c c b c a b a

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