1. 5.2 Solving Quadratic Equations Warm-up (IN) CSAP Constructed Response Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles.

2. Notes Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. Properties of Square roots ** Product property - ** Quotient property -

3. Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. EX 1 – Solve SADMEP! Try t his p. 282 (middle and bottom)

4. Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. EX 2 – A helicopter 85 ft above a designated area drops a boxes of food to a disaster area. The height of the box above the ground can be modeled by, where t is the time in seconds after it has been released. After how many seconds will it hit the ground?

5. Pythagorean Theorem! Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles. In a right, the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse. a b c EX 3 – Find the unknown length a. A B 5.3 8.4 b C

6. b. J K 2.8 1.9 k L Learning Objective: To solve quadratic equations by taking square roots and to use the Pythagorean Theorem to solve problems involving right triangles.

7. EX 4 – What must be the length of QS so that it contacts the ground halfway between the base of the tower and the point where PS contacts the ground? S P 75 ft 106 ft Q R

8. HW – p. 287 #21-43 odd, 51-54 Out – Describe the procedure you would use to solve Summary – So, I was thinking… POW!!