Lesson Plan: Exponential Growth and Decay Models Mathematics • 9th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to model exponential growth and decay arising from the differential equation 𝑦′ = ±𝑘𝑦.


Students will be able to

  • solve differential equations of the form 𝑦=±𝑘𝑦 with given initial conditions,
  • understand how the differential equation 𝑦=±𝑘𝑦 models natural growth and decay,
  • solve real-world problems involving exponential growth and decay.


Students should already be familiar with

  • first-order ordinary differential equations.


Students will not cover

  • the logistic model.

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