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.


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.


Students should already be familiar with

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


Students will not cover

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

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