The Cosine Ratio

Help your classes understand the relationship between trigonometric ratios and similarity. A set of questions ask scholars to consider the ratio of sides of similar figures. They conclude that all similar triangles must have the same cosine ratio.

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CCSS: Designed
Instructional Ideas

  • Incorporate as a performance task during a unit on trigonometric ratios
  • Encourage pupils to create pictures for each question
Classroom Considerations

  • Expects a strong understanding of trigonometric ratios
Pros

  • Questions build a strong connection between trigonometry and similarity
  • Includes guiding questions to assist struggling individuals
Cons

  • None
Common Core