## COURSE OVERVIEW

Algebra 1 aims to improve math proficiency and problem solving skills to prepare students for higher mathematics such as Geometry and Algebra 2. Topics include:

• Algebraic foundations
• Variables and Expressions
• Ratios and percentages
• Functions and graphing
• Linear equations and inequalities
• Quadratic equations and factorization

Contents

Section 0: Introduction

1. Intro: people intro, course run through, algebra foundation review
1. Review arithmetic operations
1. Exponents rules

Section 1: Variables and Expressions

1. Variables
1. Distribution
1. Factorization
1. Expressions: Fractions, exponents, radicals
1. Fractions review
1. Rational and Irrational numbers
1. Square root and radicals

Section 2: Linear Equations

1. Linear equations
1. Intro and solving linear equations
1. Word problems
1. Word problems involving linear equations
1. Multivariable linear equations
1. Multiple variables
1. Systems of equations

Section 3: Ratios and Proportions

1. Ratios and percentages
1. Ratios, fractions, and percentages review
1. Operations with ratios
1. Proportions and unit conversion
1. Direct and inverse proportions
1. Changing units

Section 4: Functions, Graphing, and Inequalities

1. Functions
1. Intro to functions
1. Domain and range
1. Graphing and forms of linear equations
1. Intro to the cartesian plane
1. Graphing linear equations
1. Slope, intercepts
1. Slope intercept form
1. Inequalities
1. Basics and interval notation
1. Graphing
1. Exponential functions
1. Absolute value functions
1. Piecewise functions

Section 5: Quadratic Equations

1.  Intro to Quadratic equations
1. Form
1. Distributing
1. Factorization
1.  Factorizations
1. Practice for factorization
1. Special factorizations