Mary and Claire reflect on the patterns they notice regarding how the height above the midline changes, and how the angle of rotation changes on any size circle.
Episode Supports
Focus Questions
For use in a classroom, pause the video and ask these questions:
[Pause the video at 0:36] Examine the circles that Mary and Claire have drawn. Now consider how the height changes as an object moves around each circle. What would be the same about how the heights change and what would be different? What do you think Claire and Mary will say about this?
[Pause the video at 3:35] What do you think: If the circle is partitioned into 12 stops, will the steepest or greatest change in height still be between the starting point and the first stop? Why or why not?
Supporting Dialogue
[Pause the video at 2:11] Talk with a partner to summarize Mary’s ideas about what is similar about how the heights change on each of the circles.
MathTalk