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

Post-Unit Assessment