Trigonometry Lesson 1 Episode 3 (Teachers)

Exploring

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Mary and Claire estimate the measure of several angles in degrees. They do this by decomposing the angles into smaller angles that seem familiar (e.g., 90 degrees, 60 degrees, etc.).


Episode Supports

Students’ Conceptual Challenges

In this video, Claire and Mary grapple with how to measure the “openness” of an angle. They already have some experience with this, as evidenced by their readiness to deploy degrees. However, without a device for measuring in degrees, it proves to be challenging to accurately measure the angles with precision. Instead, the pair estimate based on their prior understanding of right angles.

Focus Questions

For use in a classroom, pause the video and ask this question:

[Pause the video at 4:23] How would you summarize Mary and Claire’s method for measuring the openness of angles? What role do the pipe cleaners play? Why do they keep referencing right angles?

Supporting Dialogue

[Pause the video at 0:24] Tell a partner how you would measure the openness of the angles. What measuring system or units would you use? What would your numbers mean?