Similar Right Triangles and Trig Ratios

This Similar Right Triangles and Trig Ratios lesson plan also includes:

Is it possible to be the same yet different? Absolutely! The activity asks learners to explore the relationships between side ratios of triangles they have drawn. Because individuals all draw a triangle with the same angle measures, they have congruent side ratios. This leads to a discussion of sine, cosine, and tangent and their relationship in similar right triangles.

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CCSS: Designed
Instructional Ideas

  • Have pupils record their side ratios in an online format such as a Google document to facilitate the collection of the data
  • Repeat the activity with more than one set of similar triangles; use each set of data as a comparison with the trigonometric tables
Classroom Considerations

  • Required materials include protractors, rulers, unlined paper, and scientific/graphing calculators

  • Uses a graphic organizer to record important information
  • Emphasizes vocabulary and triangle relationships when defining the trigonometric ratios

  • Does not include any application of the new concept
Common Core