Reference Triangles

It is all about where the side is located. Pupils use their knowledge of angles in standard position to find reference angles. They use the Pythagorean Theorem to find lengths along a terminal side of an angle to determine the exact value of trigonometric functions. Scholars create reference triangles given either a point on a terminal side or the quadrant and a trigonometric value to find additional trig values. Learners check their understanding with a five question exit ticket.

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CCSS: Designed
Instructional Ideas
  • Review the Pythagorean Theorem
  • Provide the class with a reference angle or terminal side and have them tell you what quadrant it falls in
Classroom Considerations
  • Fits as the second of a four-part series on trigonometric functions
  • Includes an additional worksheet for extra practice
  • Contains a section in the worksheet to use for notes during the video
  • None
Common Core