# Parabolas Lesson 7 Episode 3 (Teachers)

### Reflecting

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?