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Lesson Plan: Right Triangle Trigonometry: Solving for a Side Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the value of a missing side length in a right triangle by choosing the appropriate trigonometric ratio for a given angle.

Objectives

Students will be able to

  • label the sides and angle of a right triangle,
  • find a missing side length in a right triangle (given a figure) using the sine, cosine, and tangent ratios where the unknown is at the top of the ratio,
  • find a missing side length in a right triangle (given a figure) using the sine, cosine, and tangent ratios where the unknown is at the bottom of the ratio,
  • find all the lengths of a right triangle,
  • draw a figure for a question and use it to find unknown lengths,
  • interpret and solve real-life and applied problems to find unknown lengths using right triangle trigonometry.

Prerequisites

Students should already be familiar with

  • the sum of interior angles in a polygon,
  • properties of polygons,
  • similar and congruent triangle properties,
  • right triangles and the Pythagorean theorem.

Exclusions

Students will not cover

  • solving for an angle using trigonometry,
  • non-right triangle trigonometry,
  • angles of elevation and depression.

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