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# A colorful, step by step, custom animated Unit Circle

Subjects
Resource Types
Product Rating
4.0
File Type
Presentation (Powerpoint) File
0.32 MB   |   7ish pages

### PRODUCT DESCRIPTION

The graphics are Microsoft Smart Art graphics and can be easily changed to match your school colors or presentation theme.

Here, the unit circle presented as a collection of divisions in radians first by eighths, then by twelfths and then as a division in angles first by 45 degrees, then by 30 degrees. Each radian fraction flies in as a fraction over 4 so students can see how the divisions of a unit circle are 1/4, 2/4, 3/4, 4/4, 5/4, 6/4, 7/4, and 8/4 and then these radians are simplified. Next, each twelfth division flies in so students can see these divisions are 1/6, 2/6, 3/6, 4/6, 5/6, 6/6, 7/6, 8/6, 9/6, 10/6, 11/6, and 12/6 and then these radian fractions are simplified. Overlapping radian measures are emphasized.

Next, degrees are added in multiples of 45 degrees and then in multiples of 30 degrees, each degree measure flies in or is emphasized where the 30 degree measures overlap with the 45 degree measures.

Finally, the (cos, sin) values for (x, y) are added with the discussion including the fact that only Quadrant I needs to be memorized as each measurement is a reflection, and the values therefore stay the same while only the signs change according to the quadrant in which they fall.

Tangent measures are not included in this presentation as they are calculations of the presented values and could be assigned to students to calculate on their own; although, if requested in the comments, I could add these.
Total Pages
7ish
N/A
Teaching Duration
45 Minutes

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