Trigonometry Lesson 1 Episode 1 (Teachers)

Making Sense

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Mary and Claire show images of angles they found in their everyday lives. Their images include both static angles and those that change over time, like the hand on a clock. 


Episode Supports

Students’ Conceptual Challenges

In this episode, Claire explains that it is challenging to find angles “in the wild,” since her concept image of angles includes rays with arrows and angles on paper [3:00]. Mary adds to those challenges by stating that she imagines the arc symbol between the two rays and the degree measure being stated. Of course, rays with arrows, arc symbols, and given degree measures do not typically appear with the angles we can observe in real life; so, it makes sense that Claire and Mary would initially struggle to find angles in their everyday surroundings. Encourage your students to discuss what they think of when they think of angles, to bring to the fore their ideas about angles that they can then use and build upon.

Focus Questions

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

[Pause the video at 2:36] What angles do you notice in your current surroundings? Can you identify any that are not right or straight angles?

Supporting Dialogue

  1. [Before watching] Talk with a partner to discuss what you already know about angles. What words or ideas come to mind when you think about angles? 
  2. [Pause the video at 4:23] Tell a partner ideas or methods you know about for measuring how open an angle is. Compare your answer with your partners: How are they the same? How are they different?