Keoni and Sasha examine a table with the equations they have explored so far. They use the table to predict an equation for a parabola with any given vertex.
Episode Supports
Focus Questions
For use in a classroom, pause the video and ask these questions:
1. [Pause video at 0:47]. 1. Where would the parabola be on the coordinate grid when h is 9 and k is 13?
2. [Pause video at 0:52]. Predict the equation for this parabola.
Supporting Dialogue
Provide opportunities to for students to revoice a mathematical proposition. Ask a few students to revoice the propositions of this episode:
1. Revoice Keoni and Sasha’s idea of what will happen to the equations if the p-value changes.
2. Revoice Sasha’s explanation of how they arrived at their equation for the parabola.
Math Extensions
1. Take a moment to use the methods from this episode to derive the equation of a parabola with a vertex at (9, 13) and a p-value of 3.
2. Where do you see the (x – 9) term in the diagram that you drew to derive the equation? Where is the +13?
MathTalk