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- 1. Pythagorean Theorem – Day 1<br />January 20th , 2010<br />
- 2. Classroom Jobs<br />Congratulations to:<br />Max - Exit Slip Captain<br />Aracely - Notebook Captain<br />Autavia-Homework Stamper #1<br />Susana - Homework Stamper #2<br />Larissa - Special Helper <br />
- 3. It’s CST Challenge<br />Please fill out name and top sentence<br />Far Below Basic<br />Below Basic<br />Basic<br />Proficient<br />Advanced<br />Begin reading!<br />Good luck We can win!!<br />
- 4. Good Morning<br />Warm-Up – homework on desk!<br />1. <br />2. <br />3. <br />Challenge: <br />19<br />8<br />169<br />18<br />
- 5. And the winner is….<br />Period 1 – 81 %!! <br />79 %<br />81%<br />74 %<br />77 %<br />
- 6. Let’s Check our Homework<br />1. D<br />2. C<br />3. B<br />4. 96<br />5. 5x + 20<br />6. 56 – 16x<br />
- 7. This Week’s Agenda<br />Tuesday – Right Triangles<br />Wednesday – Pythagorean Theorem<br />Thursday – Pythagorean Theorem<br />Friday – Quiz! <br />
- 8. Agenda<br /> Warm-Up (10 minutes)<br />Vocabulary (10 minutes)<br />Pythagorean Theorem Poster (10 minutes)<br />Practice, Practice, Practice (25 minutes)<br />Exit Slip (5 minutes)<br />
- 9. Objective<br />I CAN Define and apply the pythagorean theorem<br />
- 10. Pythagoras<br />Greek Mathematician<br />Born around 500 B.C.<br />Over 2500 years ago<br />Discovered something very, very, very, very special about right triangles.<br />So special there is now a law named after him…<br />
- 11. Pythagorean Theorem<br />In any right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.<br />a2 + b2 = c2<br />c<br />a<br />b<br />
- 12. Right Triangle Detectives<br />What did we learn?????<br />
- 13. In order to be a right triangle, the pythagorean theorem must hold true!<br />a2 + b2 = c2<br />
- 14. Is a triangle with sides of length 4, 6, 8 a right triangle?<br />a2 + b2 = c2<br />8<br />4<br />42 + 62 = 82<br />6<br />16 + 36 = 64<br />52 = 64<br />NO! not a right triangle<br />
- 15. Is a triangle with sides of length 7, 11, 14 a right triangle?<br />a2 + b2 = c2<br />14<br />7<br />11<br />72 + 112 = 142<br />49 + 121 = 196<br />170 = 196<br />NO! not a right triangle<br />
- 16. Is a triangle with sides of length 9, 12, 15 a right triangle?<br />a2 + b2 = c2<br />15<br />9<br />92 + 122 = 152<br />12<br />81 + 144 = 225<br />225 = 225<br />YES! It is a right triangle<br />
- 17. A triangle has legs measuring 6 cm and 8 cm, what is the length of the hypotenuse??<br />Coach Meyer<br />3. Substitute in what you know<br />1. Draw a picture<br />?<br />17 cm<br />15<br />2. Write down Pythagorean theorem<br />a2 + b2 = c2<br />152+ 82 = c2<br />8<br />225+ 64 = c2<br />4. Take square root!!<br />289= c2<br />17 cm<br />17= c<br />
- 18. Steps:<br />1. Draw a picture of triangle if needed<br />2. Write down the Pythagorean Theorem<br />3. Substitute in the two sides you know.<br />4. Take square root to find length of the hypotenuse<br />
- 19. We do<br />A triangle has sides measuring 5 cm and 12 cm, what is the length of the hypotenuse??<br />3. Substitute in what you know<br />1. Draw a picture<br />13<br />?<br />5<br />2. Write down Pythagorean theorem<br />a2 + b2 = c2<br />52 + 122 = c2<br />12<br />25 + 144 = c2<br />4. Take square root<br />169 = c2<br />13 cm<br />13 = c<br />
- 20. We do<br />A triangle has sides measuring 7 cm and 8 cm, what is the length of the hypotenuse??<br />3. Substitute in what you know<br />1. Draw a picture<br />?<br />7<br />2. Write down Pythagorean theorem<br />a2 + b2 = c2<br />72 + 82 = c2<br />8<br />49 + 64 = c2<br />4. Take square root<br />113 = c2<br />
- 21. We do<br />?<br />10<br />3. Substitute in what you know<br />1. Draw a picture<br />2. Write down Pythagorean theorem<br />a2 + b2 = c2<br />32 + 102 = c2<br />3<br />9 + 100 = c2<br />4. Take square root<br />109 = c2<br />√109 <br />
- 22. You - do<br />Find the hypotenuses of the following right triangles:<br />1. legs: 6, 8<br />2. legs: 9, 10<br />3. legs: 12, 16<br />4. legs: 8, 15<br />Hypotenuse = 10<br />Hypotenuse = √181<br />Hypotenuse = 20<br />Hypotenuse = 13<br />
- 23. Finish Your poster!<br />Add the Pythagorean Theorem in large letters<br />Write the formula below the theorem<br />Show how the Pythagorean theorem works for your triangle with sides 3, 4, 5.<br />If you have not, find the area of each of the 3 squares and write in the center of the square<br />Make your poster colorful and pretty to put up on the walls!<br />
- 24. Exit Slip<br />Work quietly<br />Please keep your eyes on your own paper <br />

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