# Lesson Plan: Equations of Tangent Lines and Normal Lines Mathematics • Higher Education

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the slope and equation of the tangent and normal to a curve at a given point using derivatives.

#### Objectives

Students will be able to

• find the equation of the tangent to a curve at a given point,
• find the equation of the normal to a curve at a given point,
• find the point on the curve at which the normal or tangent is parallel or perpendicular to a given line,
• find the point at which two curves meet orthogonally.

#### Prerequisites

Students should already be familiar with

• differentiating polynomial, trigonometric, rational, and radical functions,
• completing an equation given the slope of the tangent to the curve at a given point,
• the chain, product, and quotient rules of differentiation.

#### Exclusions

Students will not cover

• implicitly defined curves,
• differentiation of reciprocal trigonometric functions.