# Lesson Plan: Simplifying Rational Functions Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to simplify rational functions and how to find their domains.

#### Objectives

Students will be able to

• simplify rational functions by finding and eliminating common factors in the numerators and denominators,
• state the domain of a rational function by considering values of for which the denominator is equal to 0 (including a function that can be simplified),
• identify when two rational functions are equivalent,
• identify the common domain between two functions that reduce to the same simplified form,
• recognize when two rational functions are equivalent for values in their common domain.

#### Prerequisites

Students should already be familiar with

• factoring polynomial equations up to degree 3,
• finding a factor of a polynomial using the factor theorem,
• identifying zeros of polynomials.

#### Exclusions

Students will not cover

• rational expressions,
• operations on rational functions including addition, subtraction, multiplication, and division.

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