Lesson Plan: Binomial Theorem: Using Partial Fractions
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to decompose rational expressions into partial fractions then expand them using the binomial theorem.
Objectives
Students will be able to
- find the binomial expansions of rational expressions by first splitting them into partial fractions,
- identify the range of values for which the binomial expansion of a rational expression is valid,
- approximate values using the binomial expansion of a rational expression and find the percentage error of the approximation when compared to the actual value.
Prerequisites
Students should already be familiar with
- splitting a rational expression into partial fractions,
- binomial expansions for expressions of the form , where is a rational number and and are constants,
- identifying the range of values for which a binomial expansion is valid,
- approximating values using a binomial expansion and finding the percentage error of the approximation when compared to the actual value.