# Algebra I

Algebra is everywhere. It’s used for everything from calculating a college’s rank to determining a car loan’s monthly payment. Through this course, you’ll learn how to use algebra to solve everyday life problems, from calculating how much gasoline you’ll need for your summer road trip to graphing college tuition costs. With an in-depth understanding of algebraic principles, including variables, equations, graphing, number properties, polynomials, and more, you’ll gain the necessary problem-solving skills to practically apply algebra to real life.

**RECOMMENDED PRE-REQUISITE:** Mathematics competency through 7th grade

Basic and On Demand are always open for registration.

Plus courses are created upon request.

## SEMESTER 1

**Unit 1: Solving Equations and Inequalities**

- Properties of Real Numbers
- The Distributive Property
- Solving Multi-Step Equations Part 1
- Solving Multi-Step Equations Part 2
- Solving Equations with Variables on Both Sides
- Literal Equations and Formulas
- Ratios, Rates, and Conversions
- Solving Proportions
- Solving Multi-Step Inequalities
- Compound Inequalities
- Absolute Value Equations
- Absolute Value Inequalities

**Unit 2: An Introduction to Functions**

- Using Graphs to Relate Two Quantities
- Patterns and Linear Functions
- Patterns and Nonlinear Functions
- Graphing a Function Rule
- Writing a Function Rule
- Formalizing Relations and Functions
- Arithmetic Sequences

**Unit 3: Linear Functions**

- Rate of Change and Slope
- Slope-Intercept Form
- Point-Slope Form
- Standard Form
- Slopes of Parallel and Perpendicular Lines
- Graphing Absolute Value Functions

**Unit 4: Systems of Equations and Inequalities**

- Solving Systems by Graphing
- Solving Systems Using Substitution
- Solving Systems Using Elimination
- Applications of Linear Systems
- Linear Inequalities
- Systems of Linear Inequalities

**Unit 5: Exponential Functions**

- Zero and Negative Exponents
- Exponential Functions
- Comparing Linear and Exponential Functions
- Exponential Growth and Decay
- Solving Exponential Equations
- Geometric Sequences
- Simplifying Radicals

## SEMESTER 2

**Unit 6: Properties of Exponents**

- Multiplying Powers with the Same Base
- More Multiplication Properties of Exponents
- Division Properties of Exponents
- Rational Exponents and Radicals

**Unit 7: Polynomials and Factoring**

- Adding and Subtracting Polynomials
- Multiplying and Factoring
- Multiplying Binomials
- Multiplying Special Cases
- Factoring x^2+bx+c
- Factoring ax^2+bx+c
- Factoring Special Cases

**Unit 8: Quadratic Functions and Equations**

- Quadratic Graphs and their Properties
- Graphing Quadratic Functions
- Solving Quadratic Equations
- Factoring to Solve Quadratic Equations
- Completing the Square
- The Quadratic Formula and the Discriminant
- Complex Numbers
- Linear, Quadratic, and Exponential Models
- Systems of Linear and Quadratic Equations

**Unit 9: Other Types of Functions**

- Properties of Exponential Functions
- Graphing Radical Functions
- Piecewise Functions
- Step Functions
- Combining Functions
- Composition and Inverse Functions

**Unit 10: Data Analysis**

- Frequency and Histograms
- Measures of Central Tendency and Dispersion
- Box-and-Whisker Plots
- Scatter Plots and Trend Lines
- Two-Way Frequency Tables