## Unit 2: Polynomials, Rational, and Radical Relationships

### Overview

*In the Math I and Math II courses, students have mastered linear and quadratic functions. In this unit, the students will extend their understanding of these functions to include relationships among higher-order polynomial functions, radical functions, and rational functions. They will take an in-depth look at polynomials and be able to identify important concepts such as finding zeros, extreme values, points of intersection, and ways to rewrite the functions using strategies such as division, factoring, and expansion. Students will be able to graph these functions using end behavior and zeros, as well as using technology to assist in graphing more complex functions.*

**Developed By:** Dr. Stephanie Beck Roth & Karen Keener

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## Pre-Unit Assessment

## Lesson 1

Variables Used to Represent Real-World Situations

## Lesson 2

Multiple Representations of Expressions and Equations

## Lesson 3

Derive the Formula for the Sum of a Geometric Series

## Lesson 4

Using Polynomial Functions to Understand, Model, and Solve Real-World Problems

## Lesson 5

Rational Expressions

## Lesson 6

What is a Zero of a Function and How Does it Help in Graphing?

## Lesson 7

Factoring Polynomials

## Lesson 8

Polynomial Identities

## Lesson 9

Properties of Rational Expressions

## Lesson 10

Solving Both Rational and Radical Equations in One Variable

## Lesson 11

Points of Intersection of Linear Functions

## Lesson 12

Graphs of Polynomial Functions