2. Date: 1.9(a) Notes: Solving Quadratics Lesson Objective: Solve quadratics using factoring. CCSS: A.SSE.3a, A.REI.1 You will need: calculator Real-World App: How long is LaMelo’s 3-pointer in the air? This is Jeopardy!!!: These are the values of x for -16x(x – 2) = 0

3. Lesson 1: How Long is Melo’s 3-Pointer in the Air? A model for the height of a projectile is given by h = -16t² + vt + h 0 where h = height in feet t = time in seconds v = initial upward velocity in feet per second h 0 = initial height in feet

4. Lesson 1: How Long is Melo’s 3-Pointer in the Air? If LaMelo Ball shoots his 3-pointers at an initial velocity of 32 feet per second, how long does it take the ball to reach the 10- foot high basket if it leaves his hands at about 10 feet off the ground?

5. Lesson 1: How Long is Melo’s 3-Pointer in the Air? 10-foot high basket: h = How long in air: t = Initial velocity 32 feet per second: v = 10 feet off the ground: h 0 = h = -16t² + vt + h 0

6. Lesson 2: Model Rocketry A science class built a model rocket and launched it outside. It cleared the top of a 60-foot high pole and then landed in a nearby tree. If the launch pad was 2 feet above the ground, the initial velocity of the rocket was 64 feet per second, and the rocket landed 30 feet above the ground, how long was the rocket in flight?

7. Lesson 2: Model Rocketry Cleared 60-foot high pole Landed 30 feet above the ground: h = How long was flight? t = Initial velocity 64 feet per second: v = Launch pad 2 feet above the ground: h 0 = h = -16t² + vt + h 0 a · c b

8. 1.9(a): Do I Get It? Yes or No 1.Suppose a cheetah pouncing on an ante- lope leaps with an initial upward velocity of 19 feet per second. How long is the chee- tah in the air if it lands on the antelope’s hind quarter 3 feet from the ground? h = -16t² + vt + h 0 h = t = v = h 0 =

9. 1.9(a): Do I Get It? Yes or No 2.A person throws a ball upward from a 506- foot tall building. The ball’s height h in feet after t seconds is given by the equation h = -16t² + 48t + 506. The ball lands on a balcony that is 218 feet above the ground. How many seconds was it in the air? h = -16t² + 48t + 506 h = t = v = h 0 =