I am blogging about a lesson, yay!
I recently saw a post from the Great Dan Meyer, and wanted to use the problem in my upcoming Quadratics Lesson, so here it is....
The problem is "Will the shooter make a basket..."
We are going to use Desmos (love it) to see if he actually makes the shot. Here are the links
Here are my Desmos graphs —
First, let's look at the video:
Now, use the following Desmos file to see if he will make his shot....
Click on Take 1
Click on Take 1
Check your answer here:
How about this shot...."Will he make it?"
Use Desmos again and see what you can conclude about the shot...
Click on Take 2
Click on Take 2
Now, were you correct? Let's see...
What about this shot....
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Now, using the same process, analyze the graph and predict if he will make the shot....
Click on Take 4
Click on Take 4
Was your conjecture correct? Let's see...
Next, we are going to take the same process and analyze the graphs using the attributes of a quadratic function using the vertex form of the equation.
Vertex form:
Take 1Take 2
Take 3
Take 4
Now, answer the following questions with your partner....
- What role does the "a" value serve in the quadratic equation?
- What role does the "h" value serve in the quadratic equation?
- What role does the "k" value serve in the quadratic equation?