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Unit Circle Activity Pack

Rated 4.95 out of 5, based on 118 reviews
118 Ratings
Joan Kessler
Grade Levels
9th - 12th
Formats Included
  • PDF
15 pages
Joan Kessler
Easel Activity Included
This resource includes a ready-to-use interactive activity students can complete on any device.  Easel by TPT is free to use! Learn more.
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This Unit Circle Activity Pack is designed for Trigonometry, Algebra 2, and PreCalculus. Having a solid background and grasp of the basic Trig functions is invaluable in higher math.

Look at all that's Included:

  • 3 versions of the Unit Circle, one partially completed so that students can complete it, one with no information filled in which can be given as is, or used as a template for you to customize, and one totally filled in, to be used as a reference sheet. Very often I give pop quizzes with these. I may ask for just the first quadrant, or only the sine. I try to vary so that they don't memorize their way around the circle. It is strange to see a student in Calculus point their finger in a circle, while staring at the ceiling, just to find the sin of 7pi/6. There are lots of ways to vary these Unit circles. You can also use the template to write in the negative angles, or angles more than 2 pi.
  • A table for students to fill in the values of the sine, cosine, and tangent for the important angles.
  • A table for students to fill in the values of the secant, cosecant, and cotangent for the important angles.
  • A handout with questions about the values of the sine and cosine as the values move around the unit circle, great for discussion
  • A worksheet for students to determine the sin, cos, tan of various angles around the unit circle. This can be used as an assessment, Homework, or enrichment
  • A worksheet for students to determine the signs of the three trig functions under certain conditions. This can be used as an assessment, Homework, or enrichment
  • A handout showing the students the BEST EVER method for remembering the values of 30 45 60. My students use this no matter what course they are in. As easy as 1 - 2 - 3!
  • An innovative reference handout showing the students how to remember the signs of the trig functions.
  • All answer keys


Related resources you may like:

★ The Unit Circle FUN Notes Doodle Pages, complete notes in a fun format

★ Interactive Unit Circle Digital GOOGLE™ Slides Resource

★ Best Special Angles Reference Sheet

★ Trigonometry - Converting Radians and Degrees FUN Notes Doodle Pages

★ Trigonometry Radian - Degree Task Cards

★ Reference Angles Activity

★ Trig Identities Flip Books Plus Unit Circle Reference

★ More Unit Circle Resources

★ More Trigonometry Resources


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LICENSING TERMS: The purchase of a license for this resource is for use by one teacher only for his or her students only. No part of this resource is to be shared with colleagues or used by an entire department, school, or district without purchasing the proper number of licenses. Please respect my hard work and do not share.

COPYRIGHT TERMS: ©2017-2022 Joan Kessler (distancemath.com™). This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Total Pages
15 pages
Answer Key
Teaching Duration
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to see state-specific standards (only available in the US).
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–𝘹, π+𝘹, and 2π–𝘹 in terms of their values for 𝘹, where 𝘹 is any real number.
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.


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