Lesson Plan: Newton–Raphson Method Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the Newton–Raphson method to approximate the solutions of equations of the form 𝑓(𝑥) = 0.
Objectives
Students will be able to
- recall the Newton–Raphson formula,
- understand how the Newton–Raphson method approximates the values of roots of a function,
- understand why the chosen starting value in the Newton–Raphson method is important,
- use the Newton–Raphson method to prove that a root of an equation lies in a given interval,
- use the Newton–Raphson method to approximate roots of equations.
Prerequisites
Students should already be familiar with
- evaluating functions,
- identifying whether a function has a root in a given interval,
- iterative formulae,
- differentiating standard functions.
Exclusions
Students will not cover
- real-life applications.
