Repeating Your Reasoning
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Keoni and Sasha extend their use of the Pythagorean theorem. They determine the x-value for a point on the parabola that has a y-value of 5.
Episode Supports ![](https://mathtalk.sdsu.edu/wordpress/wp-content/uploads/2020/07/pdf.jpg)
Focus Questions
For use in a classroom, pause the video and ask these questions:
1. [Pause video at 0:41]. Sasha drew a horizontal line. What is the true about every point on that line?
2. [Pause video at 2:24]. Keoni says that the value of b is 5.29. Are there other possibilities for a value for b so that b2 will equal 28?
Supporting Dialogue
Invite your students to reflect on the emergence of a mathematical method by asking:
1. Summarize your methods to find the x-value of a point on the parabola with a y-value of 7.
2, Will these methods always work? Why?
Math Extensions
1. Solve for the x-value of a point on the parabola with a y-value of ½.
2. 1. Solve for the x-value of a point on the parabola with a y-value of √10.