# Lesson Plan: Nonlinear graphs

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to recognize and compare graphs of various types of nonlinear relationships between variables.

#### Objectives

Students will be able to

• recognize where the line of an -graph represents that is proportional to ,
• recognize where the line of an -graph represents that is inversely proportional to ,
• recognize where the line of an -graph represents that is inversely proportional to ,
• recognize where the line of an -graph represents that is proportional to ,
• recognize where the line of an -graph represents that is proportional to ,
• recognize where the line of an graph represents that is proportional to ,
• recognize where the line of an -graph represents that is proportional to ,
• recognize where the line of an -graph represents that is proportional to ,
• recognize where the line of an -graph represents that is proportional to ,
• recognize where the line of an -graph represents that is proportional to ,
• rank the values of coefficients or powers in the equations of graphs.

#### Prerequisites

Students should already be familiar with

• graphs of equations of straight lines,
• terms of polynomial, trigonometric, and exponential equations.

#### Exclusions

Students will not cover

• calculations using graphs.