2. Becky Afghani, LBUSD Math Curriculum Office, 2004 Pythagorean Triples Beat the Computer Drill

3. Becky Afghani, LBUSD Math Curriculum Office, 2004 What are Pythagorean Triples? Three integers that make the equation a 2 + b 2 = c 2 true are called Pythagorean Triples. The numbers 3, 4 and 5 are a very famous Pythagorean Triple. a 2 + b 2 = c 2 3 2 + 4 2 = 5 2 9 + 16 = 25

4. Becky Afghani, LBUSD Math Curriculum Office, 2004 Why Memorize Pythagorean Triples? Remember how much time it took to figure out 8 x 8 before you memorized it? (8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64) Think of all the work involved to solve this problem: a 2 + b 2 = c 2 3 2 + 4 2 = x 2 9 + 16 = x 2 25 = x 2 5 = x Wouldn’t it be nice to just know this is 5?

5. Becky Afghani, LBUSD Math Curriculum Office, 2004 Good Pythagorean Triples to Memorize: And multiples of each, like: 3x2, 4x2, 5x2 6 8 10

6. Becky Afghani, LBUSD Math Curriculum Office, 2004 Directions: The following slides show common Pythagorean Triples. It is faster to recognize these triples on sight than to apply the Pythagorean Theorem. When the right triangle appears, SAY ALOUD the length of the missing side. Try to beat the computer by saying the answer BEFORE it appears in 8 seconds.

7. Becky Afghani, LBUSD Math Curriculum Office, 2004

12. x 2

13. Becky Afghani, LBUSD Math Curriculum Office, 2004

14. x 10

15. Becky Afghani, LBUSD Math Curriculum Office, 2004

20. x 6

21. Becky Afghani, LBUSD Math Curriculum Office, 2004

24. x.1

25. Becky Afghani, LBUSD Math Curriculum Office, 2004

26. x 9

27. Becky Afghani, LBUSD Math Curriculum Office, 2004

30. x 5

31. Becky Afghani, LBUSD Math Curriculum Office, 2004

34. x 8

35. Becky Afghani, LBUSD Math Curriculum Office, 2004

38. x 3

39. Becky Afghani, LBUSD Math Curriculum Office, 2004

42. x 7

43. Becky Afghani, LBUSD Math Curriculum Office, 2004

44. x 4

45. Becky Afghani, LBUSD Math Curriculum Office, 2004 Way to Go!!