# Lesson Plan: Velocity–Time Graphs Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to calculate the displacement or acceleration of a particle moving in a straight line from its velocity–time graph.

#### Objectives

Students will be able to

• find the time periods of maximum velocity, zero velocity, and positive or negative velocity from a velocity–time graph,
• understand how the velocity–time graph of a particle relates to the displacement and acceleration of that particle,
• calculate the displacement of a particle by finding the area under its velocity–time graph,
• find the distance traveled by a particle using its velocity–time graph,
• describe the movement of a particle using its velocity–time graph.

#### Prerequisites

Students should already be familiar with

• displacement–time graphs,
• the relationship between displacement, velocity, and acceleration.

#### Exclusions

Students will not cover

• integrating or differentiating functions to find areas under curves or gradients of curves.