Trigonometry Lesson 4 Episode 3 (Teachers)

Repeating Your Reasoning

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The students continue exploring angles by measuring two angles in radians.


Episode Supports

Studentsโ€™ Conceptual Challenges

Mary initially indicates that the bottom half of the circle would be approximately 3, and then changes it and says it would be exactly ๐œ‹. However, without the unit โ€œradiansโ€ explicitly stated, this isnโ€™t correct. To assess your studentsโ€™ understanding of the difference between ๐œ‹ and ๐œ‹ radians, use Question 2 under Supporting Dialogue. 

Focus Questions

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

  1. [Pause the video at 0:21] Find the measure in radians of angle ABC. What tools did you use?
  2. [Pause the video at 1:39] Find the measure in radians of the new angle ABC. How does your method compare to what Claire and Mary did?

Supporting Dialogue

  1. [Pause the video at 3:29] Mary has written two numbers, 3 and ๐œ‹, inside a circle. Talk with a partner to discuss what you think Mary means by each of these numbers? Where do you think the 3 came from? The ๐œ‹?
  2. [Pause the video at 4:40] Why is the bottom half of the circle exactly ๐œ‹? And do you think it is exactly ๐œ‹, or exactly ๐œ‹ radians? What is the difference?