Trigonometry Lesson 5 Episode 3 (Teachers)

Repeating Your Reasoning

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Download Math Task

The students explore the path a fly takes as it travels along the tip of a fan blade at 12 stops. They think about the fly’s height above the middle of the fan and how that changes with the angle of rotation.


Episode Supports

Focus Questions

For use in a classroom, pause the video and ask these questions:

  1. [Pause the video at 0:24] Before watching Claire and Mary tackle this task, try it for yourself. Mark on the picture the change in the fly’s height as it moves from stop to stop. Then compare your work and picture with the students’ work.
  2. [Pause the video at 4:08] Mary and Claire said that if you travel around the circle, it’s 2𝜋radians. What would be the radian measure of just one of the angles indicated in the circle?

Supporting Dialogue

  1. [Pause the video at 1:17] What sense do you make of the numbers that Claire and Mary have written? Talk with a partner to share your ideas.
  2. [Pause the video at 7:09] Why do you think Mary and Claire use the quantities z, x, and y? Why is using 20, 30, and 35 problematic?