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

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