## Unit 1: Algebraic and Graphical Manipulations

### Overview

*This unit focuses on the properties and graphs of important functions that are used to solve real world problems. Students learn to analyze graphs for areas of increase and decrease and end behavior and use this information to make predictions for real world data. Additionally, students review skills needed to work with functions (such as the properties of exponents and simplifying radicals) and are introduced to piecewise functions and their uses.*

**Developed By:** Gretchen Gibson

If you have trouble viewing this video, click here to download.

## Pre-Unit Assessment

## Lesson 1

Properties of Exponents

## Lesson 2

Simplifying Radical Expressions

## Lesson 3

Composition of Functions and Function Operations

## Lesson 4

Inverse Functions

## Lesson 5

Function Families and Graphical Transformations

## Lesson 6

Properties of Graphs

## Lesson 7

Linear Functions and Real World Systems of Linear Equations

## Lesson 8

Piecewise Functions

## Lesson 9

Piecewise, Step, and Absolute Value Functions