# Lesson Plan: The Tangent Ratio Mathematics • 11th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find missing lengths and angles in a triangle using the tangent ratios.

#### Objectives

Students will be able to

• use right triangles to find tangent ratios,
• use special right triangles to find the tangent ratios for , , and ,
• use the tangent ratio to find missing lengths in right triangles,
• use the inverse tangent ratio to find missing angle measures in right triangles,
• solve more complex problems, such as using the tangent ratio or inverse tangent ratio in combination with the Pythagorean theorem, simple 2D shape properties, or coordinate geometry.

#### Prerequisites

Students should already be familiar with

• right triangles,
• the Pythagorean theorem,
• simple 2D shape properties,
• coordinate geometry.

#### Exclusions

Students will not cover

• non-right triangles,
• the graph of the tangent function,
• the cotangent ratio.