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 with given initial conditions,
- understand how the differential equation 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.