# Lesson Plan: Partial Fractions: Improper Fractions

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to perform partial fractions on improper algebraic fractions.

#### Objectives

Students will be able to

• perform partial fractions on improper algebraic fractions by first using algebraic division with a quadratic divisor with nonrepeated linear factors,
• perform partial fractions on improper algebraic fractions by first using algebraic division with a quadratic divisor with repeated linear factors.

#### Prerequisites

Students should already be familiar with

• adding or subtracting rational functions,
• factoring polynomial expressions,
• partial fractions when the denominator contains linear factors,
• algebraic (polynomial) division.

#### Exclusions

Students will not cover

• synthetic division,
• polynomial divisions by cubic or higher polynomials,
• partial fraction problems that do not involve algebraic divisions.