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Unit 4:

Right Triangle Trigonometry

What relationships exist between the sides of similar right triangles?
4 weeks

Unit four is about right triangles and the relationships that exist between its sides and angles. Students apply their understanding of similarity, from unit three, to prove the Pythagorean Theorem. Trigonometric functions, which are properties of angles and depend on angle measure, are also explained using similarity relationships. Students determine when to use trigonometric ratios, Pythagorean Theorem, and/or properties of right triangles to model problems and solve them. Throughout the unit, students should be applying similarity and using inductive and deductive reasoning as they justify and prove these right triangle relationships.

Essential Questions:

  • What relationships exist between the sides of similar right triangles?
  • What is the relationship between angles and sides of a right triangle?
Printable Unit Plan
  • Geometry Unit Plan for Unit 4
    Resource:
    Geometry Unit Plan for Unit 4

    This is a printable version of the entire unit plan. You can make a copy of it and edit it or download and print it as needed.

Unit Outline

6 Components

Every unit begins with an Initial Task and ends with a Balanced Assessment, both focusing on core mathematics of the unit. The core mathematics is developed through a series of resources around Big Ideas; as you move through the unit, keep students focused on how these ideas are connected and how they address mathematical problem solving. Before attempting the Balanced Assessment, students have an opportunity to synthesize their knowledge through a multi-day Formative Assessment Lesson and teacher-designed re-engagement lessons.

Initial Task See 1 itemHide 1 item

Formative Assessment Lesson See 1 itemHide 1 item

Re-engagement See 1 itemHide 1 item

End of Unit Assessment See 1 itemHide 1 item