Repeating Your Reasoning
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.
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?
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?
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.