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Reference Angles and Evaluating Trig Functions on Unit Circle

Rated 4.89 out of 5, based on 61 reviews
4.9 (61 ratings)
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Joan Kessler
5.8k Followers
Grade Levels
10th - 12th, Higher Education
Standards
Formats Included
  • PDF
Pages
24 pages
$4.00
$4.00
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Joan Kessler
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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.

What educators are saying

task cards were posted around the room and students were given the blank answer chart. Posted solutions after 15 minutes so students could correct and revisit problems if needed. Great review activity.
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Description

Your students determine Reference Angles for positive and negative angles in both degrees and radians. They will also use reference angles to find the six trigonometric functions of the special angles. This resource is designed to build your students' skills and proficiency on this topic and is appropriate for Trigonometry, PreCalculus, Geometry, and Algebra 2 depending upon your curriculum. Great Practice for the Unit Circle.

With over 100 questions, these activities are great reinforcement and practice.

Students should not need a calculator for this activity.

What's included?

  • 30 Task Cards:
    • #1 - 10 students only find reference angles; and
    • #11 – 30 have students find the reference and use it to find the trig values of angles whose reference angles are 0, 30, 45, 60, and 90 degrees and/or their radian equivalent.

  • Same Questions in worksheet format
  • Student response sheet
  • Two 30 question handouts with similar problems, one free response, one multiple choice for extra practice
  • Two Additional 10 Question handouts which can be used as a quiz, HW, or enrichment.
  • All Answer keys

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Related products you may like:

★ Using Reference Angles Digital Task Cards (Different problems)

★ Finding Reference Angles Digital Mazes for Radians and Degrees

★ Unit Circle Triple Match - Radians, Degrees, Trig Values

★ Trigonometry Converting Radians and Degrees Mazes Printable

★ Trigonometry Bundle of Graphic Organizers for Interactive Notebooks plus Posters

★ Trigonometry Radian - Degree Task Cards

Unit Circle FUN Notes

★ How to easily Remember 30 45 60 Trig Values

★ Trigonometry Special Values Match up - Sort

★ Trigonometry Final Practice Test Study Guide - 4 versions -160 questions

★ Print Graphs on Sticky Notes - fun new teacher resource

______________________________________________________________

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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.

COPYRIGHT TERMS: ©2018-2024 Joan Kessler (joansworldofmath.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
24 pages
Answer Key
Included
Teaching Duration
N/A
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Standards

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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