Algebra I

Description

This is a fast paced freshman level course where students will learn to reason symbolically. Topics introduced in Algebra I provide the foundation students require for future success in high school mathematics, critical thinking, and problem solving. The primary goal in Algebra I is to help students transfer their concrete mathematical knowledge to more abstract algebraic generalizations

Textbook

Algebra I Common Core (Pearson 2015)

Course Outline

Chapter 1 - Foundations for Algebra

Variables and Expressions

Order of Operations and Evaluating Expressions

Real Numbers and the Number Line

Properties of Real Numbers

Adding and Subtracting Real Numbers

Multiplying and Dividing Real Numbers

The Distributive Property

Introduction to Equations

Patterns, Equations, and Graphs

Chapter 2 - Solving Equations

Solving One-Step Equations

Solving Two-Step Equations

Solving Multi-Step Equations

Solving Equations with Variables on Both Sides

Literal Equations and Formulas

Ratios, Rates, and Conversions

Solving Proportions

Proportions and Similar Figures

Percents

Change Expressed as a Percent

Chapter 3 - Solving Inequalities

Inequalities and Their Graphs

Solving Inequalities Using Addition or Subtraction

Solving Inequalities Using Multiplication or Division

Solving Multi-Step Inequalities

Working with Sets

Compound Inequalities

Absolute Value Equations and Inequalities

Unions and Intersections of Sets

Chapter 4 - 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

Chapter 5 - Linear Functions

Rate of Change and Slope

Direct Variation

Slope-Intercept Form

Point-Slope Form

Standard Form

Parallel and Perpendicular Lines

Scatter Plots and Trend Lines

Graphing Absolute Value Functions

Chapter 6 - Systems of Equations and Inequalities

Solving Systems by Graphing

Solving Systems Using Substitution

Solving Systems Using Elimination

Linear Inequalities

Systems of Linear Inequalities

Chapter 7 - Exponents and Exponential Functions

Zero and Negative Exponents

Multiplying Powers with the Same Base

More Multiplication Properties of Exponents

Division Properties of Exponents

Rational Exponents and Radicals

Chapter 8 - Polynomials and Factoring

Adding and Subtracting Polynomials

Multiplying and Factoring

Multiplying Binomials

Multiplying Special Cases

Factoring x² + bx + c

Factoring ax² + bx + c

Factoring by Grouping

Factoring Special Cases

Chapter 9 - Quadratic Functions and Equations

Quadratic Graphs and Their Properties

Quadratic Functions

Solving Quadratic Equations

Factoring to Solve Quadratic Equations

Completing the Square

The Quadratic Formula and the Discriminant