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 the similarities and differences between the equations for two parabolas that have the same p-values. One parabola has a vertex at (0, 0) while the other parabola has a vertex at (0, 7).
Episode Supports
Focus Questions
For use in a classroom, pause the video and ask these questions:
1. [Pause video at 0:40]. Where did the equation y = x2/12 come from?
2. [Pause video at 1:32]. Where is the –7 in the diagram? Can someone come show us where it is in the diagram?
Supporting Dialogue
Provide opportunities to revoice the mathematical ideas of others:
1. Revoice what Sasha and Keoni noticed about what is the same and what is different about the two equations.
2. Revoice what Sasha and Keoni said about why there is a –7 in the equation instead of a +7. How about someone else? Revoice what Sasha and Keoni and saying.
Math Extensions
1. Use the GeoGebra applet to get a graph of a parabola with a p-value of 3 and a vertex at the point (0, 5). Use the method that Sasha and Keoni used in this episode to derive the equation of the parabola with a vertex at (0, 5).
2. Use the methods used in this episode to derive the equation of this new parabola.