1. Pythagorean Theorem – Day 1 January 20th , 2010

2. Classroom Jobs Congratulations to: Max - Exit Slip Captain Aracely - Notebook Captain Autavia-Homework Stamper #1 Susana - Homework Stamper #2 Larissa - Special Helper

3. It’s CST Challenge Please fill out name and top sentence Far Below Basic Below Basic Basic Proficient Advanced Begin reading! Good luck  We can win!!

4. Good Morning Warm-Up – homework on desk! 1. 2. 3. Challenge: 19 8 169 18

5. And the winner is…. Period 1 – 81 %!! 79 % 81% 74 % 77 %

6. Let’s Check our Homework 1. D 2. C 3. B 4. 96 5. 5x + 20 6. 56 – 16x

7. This Week’s Agenda Tuesday – Right Triangles Wednesday – Pythagorean Theorem Thursday – Pythagorean Theorem Friday – Quiz! 

8. Agenda Warm-Up (10 minutes) Vocabulary (10 minutes) Pythagorean Theorem Poster (10 minutes) Practice, Practice, Practice (25 minutes) Exit Slip (5 minutes)

9. Objective I CAN Define and apply the pythagorean theorem

10. Pythagoras Greek Mathematician Born around 500 B.C. Over 2500 years ago Discovered something very, very, very, very special about right triangles. So special there is now a law named after him…

11. Pythagorean Theorem In any right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. a2 + b2 = c2 c a b

12. Right Triangle Detectives What did we learn?????

13. In order to be a right triangle, the pythagorean theorem must hold true! a2 + b2 = c2

14. Is a triangle with sides of length 4, 6, 8 a right triangle? a2 + b2 = c2 8 4 42 + 62 = 82 6 16 + 36 = 64 52 = 64 NO! not a right triangle

15. Is a triangle with sides of length 7, 11, 14 a right triangle? a2 + b2 = c2 14 7 11 72 + 112 = 142 49 + 121 = 196 170 = 196 NO! not a right triangle

16. Is a triangle with sides of length 9, 12, 15 a right triangle? a2 + b2 = c2 15 9 92 + 122 = 152 12 81 + 144 = 225 225 = 225 YES! It is a right triangle

17. A triangle has legs measuring 6 cm and 8 cm, what is the length of the hypotenuse?? Coach Meyer 3. Substitute in what you know 1. Draw a picture ? 17 cm 15 2. Write down Pythagorean theorem a2 + b2 = c2 152+ 82 = c2 8 225+ 64 = c2 4. Take square root!! 289= c2 17 cm 17= c

18. Steps: 1. Draw a picture of triangle if needed 2. Write down the Pythagorean Theorem 3. Substitute in the two sides you know. 4. Take square root to find length of the hypotenuse

19. We do A triangle has sides measuring 5 cm and 12 cm, what is the length of the hypotenuse?? 3. Substitute in what you know 1. Draw a picture 13 ? 5 2. Write down Pythagorean theorem a2 + b2 = c2 52 + 122 = c2 12 25 + 144 = c2 4. Take square root 169 = c2 13 cm 13 = c

20. We do A triangle has sides measuring 7 cm and 8 cm, what is the length of the hypotenuse?? 3. Substitute in what you know 1. Draw a picture ? 7 2. Write down Pythagorean theorem a2 + b2 = c2 72 + 82 = c2 8 49 + 64 = c2 4. Take square root 113 = c2

21. We do ? 10 3. Substitute in what you know 1. Draw a picture 2. Write down Pythagorean theorem a2 + b2 = c2 32 + 102 = c2 3 9 + 100 = c2 4. Take square root 109 = c2 √109

22. You - do Find the hypotenuses of the following right triangles: 1. legs: 6, 8 2. legs: 9, 10 3. legs: 12, 16 4. legs: 8, 15 Hypotenuse = 10 Hypotenuse = √181 Hypotenuse = 20 Hypotenuse = 13

23. Finish Your poster! Add the Pythagorean Theorem in large letters Write the formula below the theorem Show how the Pythagorean theorem works for your triangle with sides 3, 4, 5. If you have not, find the area of each of the 3 squares and write in the center of the square Make your poster colorful and pretty to put up on the walls!

24. Exit Slip Work quietly Please keep your eyes on your own paper 