Trigonometric Functions: The Unit Circle

This Trigonometric Functions: The Unit Circle presentation also includes:

This comprehensive problem and note set walks the class through a large part of simplifying trigonometric expressions using the unit circle and identities. From identifying angles to applying appropriate trigonometric ratios, problems progress from simple identification through to higher level algebraic manipulations. Note summaries at the beginning of each section and aligned problems with teaching presentation make this a great addition to your unit on trigonometry using the unit circle.

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CCSS: Adaptable
Instructional Ideas

  • Consider using as a review lesson before end-of-course exams to refresh trigonometric functions and the unit circle
  • Create a matching game or scavenger hunt with specific trigonometric functions and their radian equivalents
  • Divide the class into groups and have each group create problems modeled after problems 13 - 21, trade problems, and check each other's work
Classroom Considerations

  • Printable class notes are available under Included Materials
  • Consider preparing remediation before class to address weaknesses in identifying angle measures or converting between degree and radian measures 
  • PDF presentation would make a great interactive whiteboard presentation with solution steps revealed one at a time

  • Matching notes and step-by-step solved teacher presentation
  • Scaffolded problems build logically and gradually
  • Note summary introduces each section of class worksheet
  • Multiple problems of each type for demonstration and practice

  • No teaching methods suggested
  • No blank printable unit circle made available