StudyForge Algebra 1 introduces students to the foundations of High School Algebra in an understandable, relatable and enjoyable way, with proven success.

Algebra 1 establishes students’ algebraic foundations by delving deeply into two primary topics: equations and functions. Throughout this accessible and rewarding journey, students will strengthen their understanding of the many kinds of relationships that exist in our fascinating world and will be set up with the skills, competencies, and confidence they need to succeed in their future math courses.

The course offers multiple learning techniques, incorporating auditory, visual, and hands-on elements. Interactive videos allow students to learn at their own pace, with engaging applets and graphs reinforcing concepts. Each video comes with student-friendly notes, and there are plenty of practice questions with detailed solutions. Students can also redo quizzes and tests to solidify their understanding.

## Table of Contents

Lesson 1: Integers

Lesson 2: Fractions

Lesson 3: Expressions

Lesson 4: Exponents

Lesson 5: Square Roots

Lesson 6: Graphing

Lesson 1: Solving Linear Equations Part I

Lesson 2: Solving Linear Equations Part II

Lesson 3: Solving Linear Equations Part III

Lesson 4: Applications of Linear Equations

Lesson 5: Solving Linear Inequalities Part I

Lesson 6: Solving Linear Inequalities Part II

Lesson 7: Compound Linear Inequalities

Lesson 1: Slope and the Rate of Change

Lesson 2: Slope-Intercept Form of a Line

Lesson 3: Point-Slope Form and General Form of a Line

Lesson 4: Parallel and Perpendicular Lines

Lesson 5: Modeling with Linear Equations

Lesson 6: Solving Linear Equations by Graphing

Lesson 7: Arithmetic Sequences as Linear Relations

Lesson 1: Solving Systems of Equations by Graphing

Lesson 2: Solving Systems of Equations by Substitution

Lesson 3: Solving Systems of Equations by Elimination

Lesson 4: Linear Inequalities

Lesson 5: Systems of Linear Inequalities

Lesson 1: What is a Polynomial?

Lesson 2: Adding and Subtracting Polynomials

Lesson 3: Multiplying Polynomials

Lesson 4: Essentials for Polynomials

Lesson 5: Factoring Basic Trinomials

Lesson 6: Advanced Factoring

Lesson 1: Introduction to Functions Part I

Lesson 2: Introduction to Functions Part II

Lesson 3: Graphing Quadratic Functions

Lesson 4: Transforming Quadratic Functions

Lesson 5: Graphing by Completing the Square

Lesson 6: Applications of Quadratic Functions

Lesson 7: Piecewise and Absolute Value Functions

Lesson 1: Introduction to Quadratic Equations

Lesson 2: Solve by Graphing

Lesson 3: Solve by Factoring

Lesson 4: Solve by Completing the Square

Lesson 5: The Quadratic Formula

Lesson 6: Linear-Quadratic Systems

Lesson 1: Rational Exponents

Lesson 2: Graphing Exponential Functions Part I

Lesson 3: Graphing Exponential Functions Part II

Lesson 4: Exponential Growth and Decay

Lesson 5: Comparing Functions

Lesson 6: Geometric Sequences

Lesson 7: Recursive Sequences

Lesson 1: Dot Plots and Box Plots

Lesson 2: Standard Deviation and Interquartile Range

Lesson 3: Outliers

Lesson 4: Two-Way Tables

Lesson 5: Scatter Plots

Lesson 6: Interpreting Data

## Experience a lesson as your students would

## Course Features

- Does not make assumptions about students’ prior knowledge and includes significant review to ensure the success of all students
- Gamification and interactive learning components – sudoku like puzzle solving, race games, balance scales, and more
- Applications of real-world examples are used in every lesson
- Multiple techniques are provided alongside the recommended method to encourage flexible thinking versus memorizing algorithms, and to support different learning preferences
- Bonus content, including higher-order thinking questions and extra practice questions provided for each lesson