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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?
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?
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?
d) How long does it take before
the ball hits the ground?
15 20
10
c) If the receiver catches the ball
10 sec from when it is thrown,
what is the height of the ball?
5
b) How long does it take before
it reaches its maximum height?
Height (in feet)
a) What is the maximum height
reached by the football?
25 30 35 40
45 50
The graph at the right represents a relationship between the number
of feet a football is thrown and its height above the ground.
0
2
4
6
8
10
12 14 16 18
Time (in seconds)
20