No captions Captions Stop the video above first if it is playing.
No captions Captions Stop the video above first if it is playing.
Mary and Claire measure the openness of several angles using gips. Gips are a non-standard unit of measure. Eight gips fit into a full circle.
Episode Supports
Students’ Conceptual Challenges
Students may find it challenging to reason with and use the non-standard unit of measure gips. This unit of measure provides a steppingstone to move from degrees to radians. Using this task can benefit students who haven’t worked with radians before. Claire and Mary readily utilize gips with the aid of some circular patty paper. Thus, you may wish to have patty paper on hand for your students as well.
It isn’t clear if Claire sees gips as being the lines that she draws within the circular patty paper, or as the space carved out between two of those lines [e.g., 1:24 – 1:58]. Counting the lines results in the same measure as counting the spaces, but recognizing a gip as being the space between two of the lines she’s drawn is more productive for understanding angle measure.
Focus Questions
For use in a classroom, pause the video and ask these questions:
[Pause the video at 0:17] How would you measure one of the angles shown on the paper using gips (where eight gips fit into one full circle)?
[Pause the video at 4:16] Do you agree with the measurements found by Mary and Claire? What were your measurements (in gips) of the angles?
Supporting Dialogue
[Pause the video at 1:58] Talk with a partner to discuss what you think a gip is. How would you use gips to measure the openness of an angle?
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