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

Algebra 1 begins with a gentle review of essential pre-algebra concepts, like integers, fractions, and exponents, leaving students ready and confident to dive into the world of algebra. There, they will learn key algebraic topics involving equations, functions and graphing, and applying their knowledge to both theoretical and real-world problems. Throughout their journey, students will strengthen their understanding of algebraic relationships and gain the skills and confidence needed 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 that reinforce concepts. Each video comes with student-friendly notes, and there are plenty of practice questions with detailed solutions. Since our quiz and test questions are pulled from randomized pools, students can also redo quizzes and tests to solidify their understanding.

## Table of Contents

Lesson 1: Integers

Lesson 2: Fractions

Lesson 3: Algebraic 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: (Enrichment) 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 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: Factoring Essentials for Polynomials

Lesson 5: Factoring Basic Trinomials

Lesson 6: Advanced Factoring

Lesson 1: Introduction to Functions

Lesson 2: Function Notation and Applications

Lesson 3: Graphing Quadratic Functions

Lesson 4: Transforming Quadratics: Translations

Lesson 5: Transforming Quadratics: Reflection and Dilations

Lesson 6: Graphing Quadratic Functions and Completing the Square

Lesson 7: (Enrichment) Piecewise and Absolute Value Functions

Lesson 1: Introduction to Quadratic Equations

Lesson 2: Solving Quadratics by Graphing

Lesson 3: Solving Quadratics by Factoring

Lesson 4: Solving Quadratics by Completing the Square

Lesson 5: Solving Quadratics with the Quadratic Formula

Lesson 6: (Enrichment) Solving Equations with Complex Numbers Systems

Lesson 7: (Enrichment) Solving Linear and Quadratic Systems

Lesson 1: Graphing Exponential Functions

Lesson 2: Exponential Growth and Decay

Lesson 3: Comparing Functions

Lesson 4: Arithmetic Sequences

Lesson 5: Geometric Sequences

Lesson 6: Recursive Sequences

Lesson 7: (Enrichment) Rational Exponents

Lesson 1: Exploring Data

Lesson 2: More Ways to Represent Data

Lesson 3: Standard Deviation

Lesson 4: Two-Way Tables

Lesson 5: Modeling Data Using Regression

Lesson 6: Assessing the Fit of a Data Model

Lesson 7: (Enrichment) Probability

## 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