Download 24 Exploring the Quadratic Formula – Stations Objective: Do Now

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Exploring the Quadratic Formula – Stations
Objective: __________________________________________________________________________
Do Now: Answer the questions below:
Station 1
1. At this station you will have 6 index cards. As a group
flip over the 6 index cards and match each quadratic
equation with the appropriate quadratic formula.
Write the matches below.
Station 2
1. At this station you will have a dice. Roll the dice
once and write the number in the first box. Roll
it again and write the number in the second
box.
2. You can find the number and type of solutions
to a quadratic equation by finding the
discriminant. The discriminant is the value
under the square root in the quadratic formula
(𝑏 2 − 4𝑎𝑐). Find the discriminant of the
quadratic equation you wrote in number 1.
2. Choose ONE of the quadratic equations and solve it
below.
3. Based on your discriminant, what type of
solution(s) does the quadratic function you
created have? Explain how you know.
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Station 3
1. At this station you find a word problem. The
equation to model the word problem is:
Solve the quadratic function using the quadratic
formula.
Station 4
1. At this station you will get a card with 4
scenarios, you need to determine whether
there are two, one or no REAL solutions of each
equation. Write down each scenario first!
Scenario A:
How many real solutions?
Scenario B:
2. Which solution gives the amount of time it takes for
the baseball to hit the ground?
How many real solutions?
Scenario C:
How many real solutions?
3. Why will only one of your solutions equal the time it
takes for the baseball to hit the ground?
Scenario D:
How many real solutions?
Summary – use what you learned today in these stations to answer the questions that follow.
9𝑥 2 − 30𝑥 + 25 = 0
1. Find the discriminant.
2. Based on the discriminant describe how many real solutions the quadratic equation has. Explain!
3. Solve using quadratic formula.
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Station 1:
Station 2: Dice
Station 3:
Station 4:
The graph of the related quadratic function dos not have an x-intercept – none
The graph of the related quadratic function touches but does not cross the x –axis – one
A quadratic equation has a discriminant equal to 0 – one
Both a and b are greater than 0 and c is less than 0 in the quadratic equation - two