Quadratic Word Problems

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Presentation transcript:

Quadratic Word Problems 9/26 Objective: Students will be able to solve word problems using their knowledge of quadratics. Standards: NC.M2.A-REI.1 Solving process for quadratic equations Essential Question: What skills do you use when working on a word problem? LESSON After t seconds, a rocket’s height, h (in feet), is given by the formula h = -10t2 + 25t. Ex1. What is the height after 1.5 seconds? Ex2. What is the maximum height? What was the time that it reached that height? Ex3. When will the rocket hit the ground after initial takeoff?

1. What is the height after 2.3 seconds? Objective: Students will be able to use the zeros (roots) of a quadratic function to find the vertex and graph. Standards: NC.M2.A-REI.1 Solving process for quadratic equations Essential Question: How is the maximum height of a function shown on a graph? Worktime After t seconds, a ball’s height, h (in feet), is given by the formula h = -5t2 + 12t. 1. What is the height after 2.3 seconds? 2. What is the time when the ball reaches 4 feet? 3. What is the maximum height? What was the time that it reached that height? 4. When will the ball hit the ground?

Height (in feet) Time (in seconds) Objective: Students will be able to use the zeros (roots) of a quadratic function to find the vertex and graph. Standards: NC.M2.A-REI.1 Solving process for quadratic equations Essential Question: How is the maximum height of a function shown on a graph? The graph at the right represents a relationship between the number of feet a football is thrown and its height above the ground. What is the maximum height reached by the football? How long does it take before it reaches its maximum height? If the receiver catches the ball 10 sec from when it is thrown, what is the height of the ball? the ball hits the ground? 5 10 15 20 25 30 35 40 45 50 Height (in feet) 2 4 6 8 10 12 14 16 18 20 Time (in seconds)