Folding a Unit Circle

Folding a Unit Circle
Folding a Unit Circle
Folding a Unit Circle
Folding a Unit Circle
Grade Levels
Resource Type
Product Rating
(9 Ratings)
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(632 KB|8 pages)
Also included in:
  1. This bundle included four products from my store:- Graphs of Sine, Cosine, and Tangent from a Unit Circle- Building a Unit Circle- Unit Circle and Graph of Six Trigonometric Functions- Folding a Unit Circle
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Product Description

This activity describes how you can fold a circle or a large paper plate to form a unit circle.

  • The first fold creates the diameter of the circle.
  • While the circle is folded it is folded in half again creating a second diameter that is perpendicular to the first diameter.
  • Students begin by writing the number of radians (0, π/2, π, 3π/2 and 2π.) and the coordinates for each of the four endpoints of the diameters.
  • Refolding the circle (to a quarter of a circle) the students fold the quarter circle in half again. This creates 2 additional diameters and subdivisions of the unit circle to match with π/4,3π/4, 5π/4 and 7π/4. The students also record the coordinates for these endpoints.
  • The students return the circle to a quarter circle. This time they fold the quarter circle into three congruent sectors. It will create four additional diameters when the circle is opened up. Students begin by labeling these π/6, π/3, 2π/3, 5π/6, 7π/6,4π/3, 5π/3, and 11π/6. The students also record the coordinates for these endpoints.
  • Pictures accompany the activity so students can more clearly understand the written directions.
  • A page of 4 blank unit circles has been included that can be used for a follow up activity for the students or for a quiz for the students.

By the end of the activity the students have written the 16 angles around the unit circle and the coordinates for the sixteen endpoints which will correspond to the sine and cosine of the various angles. .

Comments from buyers:

• Great resource!

• Fun foldable!

• Good activity.

• Excited to try this activity in my class!

• So glad I found this! I can't wait to let my Trig kids fold paper plates to make their Unit Circle!!!

• Eager to attempt this activity with my algebra 2 classes.

• Very helpful, even for my honors kids!

Total Pages
8 pages
Answer Key
Teaching Duration
2 days
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