No captions Captions Stop the video above first if it is playing.
No captions Captions Stop the video above first if it is playing.
Keoni and Sasha reflect on why increasing the p-value results in a wider parabola. They engage in algebraic reasoning to support their argument.
Episode Supports
Focus Questions
For use in a classroom, pause the video and ask these questions:
1. [Pause video at 1:03]. How did Sasha get the equation y = 1/p?
2. [Pause video at 2:17]. What does a smaller y-value have to do with the shape of the graph?
Supporting Dialogue
Provide opportunities to revoice the mathematical ideas of others:
1. Revoice what Sasha and Keoni noticed and justified about how a change in the p-value impacts the y-value of a coordinate with a fixed x-value.
2. Revoice what Sasha and Keoni noticed and justified about how a change in the p-value impacts the shape of a parabola.
Math Extensions
1. Find the coordinates of points on each of the three parabolas when the x-value is 1.5.
2. Considering the ordered pairs that you found, what do you notice about the y-values when the p-value increases? How does that impact the shape of the parabola?
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