Lesson Plan: Applications of Indefinite Integration Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use indefinite integration to express a function given its rate of change.
Students will be able to
- find the equation of a curve when given an equation for its gradient and a boundary condition (a point that lies on the curve),
- solve problems involving the the local minima and maxima of a curve given an equation for its gradient,
- understand how functions, rates of change, and extrema can relate to real-life systems.
Students should already be familiar with
- indefinite integration,
- boundary conditions of indefinite integration,
- local minima and maxima.
Students will not cover
- definite integration,
- integration by parts.