1. DO NOW Wednesday, November 6, 2013

2. What are we going to do? CFU We will use the Pythagorean Theorem 1 to calculate the sides of Right Triangles 2. Learning Objective Activate Prior Knowledge Tuesday, November 5, 2013 Name: ________________________ Per: __ 1 Vocabulary 2 Special Triangles that contain one Right (90 degree) angle. Vocabulary Two Dimensional Shapes come in many sizes and numbers of sides. Triangles have exactly three sides. Triangles add up to 180 degrees. Special triangles have unique characteristics, such as Right triangles. What else do you know about triangles?

3. Concept Development Right Triangles contain two legs and a hypotenuse. The Hypotenuse 1 is the side of the triangle across from the right angle (ALSO: it is the longest side). There are two legs 2 which can be the same size or different sizes. They are shorter than the hypotenuse How many legs does a right triangle have? CFU 2 Two shorter sides of a Right Triangle. Vocabulary 1 The longest side of a Right Triangle across from the right angle. Vocabulary What part of the triangle is the hypotenuse across from? CFU Side Length PR or RP FG is a Hypotenuse PQ or QP and QR or RQ GH is a leg There are 2 legs. The hypotenuse is across from the right angle.

4. Concept Development In the triangles shown, what does the letter c represent? CFU 16 2 12 2 16 2 144256 400 20 -20 20 -20 20 Can a Hypotenuse or Leg length ever be negative? CFU

5. Concept Development What is the formula for the Pythagorean Theorem? CFU 8282 15 2 64225 289 17 -17 17 -17 17

6. Concept Development 49 625 13 in. HINT: Use the Pythagorean Theorem. a 2 + b 2 = c 2 5 2 + 12 2 = 13 2 25 + 144 = 169 Equation is balanced, therefore this is a right triangle.

7. Skill Development/Guided Practice 3 2 + 4 2 = c 2 9 + 16 = c 2 25 = c 2 c = 5 6 2 + 8 2 = c 2 36 + 64 = c 2 100 = c 2 c = 10

8. Skill Development/Guided Practice a 2 + b 2 = c 2 5 2 + 12 2 = c 2 25 + 144 = c 2 169 = c 2 = c 13 = c a 2 + b 2 = c 2 6 2 + 8 2 = c 2 36 + 64 = c 2 100 = c 2 = c 10 = c

9. What is the diagonal line across from the right angle called in a right triangle? CFU Relevance Television are advertised by the length of their diagonal screen size. Example: A 27 inch TV has a diagonal (hypotenuse) measure of 27 inches. Crazy Eddie’s Electronics in San Jose is having a Veteran’s Day Sale on all TV’s that are 40 inches and larger. Is the TV to the left going to be on sale? Explain your reasoning. How can you use the Pythagorean Theorem to explain the dimensions of the TV? What is the length of the diagonal on the TV shown above? 24 2 + 32 2 = c 2 576 + 1024 = c 2 1600 = c 2 = c 40 = c YES, the TV will be on sale because it is at least 40 inches.

10. What did you learn today about the Pythagorean Theorem? (Pair-Share) Use words from the word bank. Summary Closure Word Bank Skill Closure Leg Hypotenuse Pythagorean Right Triangle How can we prove whether this triangle is a Right Triangle or Not? a 2 + b 2 = c 2 3 2 + 4 2 = c 2 9 + 16 = c 2 5 = c If a 2 + b 2 = c 2, then you have proven a right triangle.

11. Independent Practice

12. USE THIS SPACE FOR ANY SCRATCH WORK. WHICH TERM IS A, WHICH IS B, WHICH IS C? The triangle to the right is for a reference only. You need to draw your own, and label the lengths of the sides.