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### Estimated Completion Time

2 segments / 36 weeks

### Overview

Algebra I is the foundation—the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, but everyone can do it. Everyone can have a good time solving the hundreds of real-world problems algebra can help answer. Course activities make the numbers, graphs, and equations more real. The content in this course is tied to real-world applications like sports, travel, business, and health.

This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them. Algebra 1 emphasizes the importance of algebra in everyday life through hundreds of real-world examples. Assessments are designed to ensure that your understanding goes beyond rote memorization of steps and procedures. Upon successful course completion, you will have a strong foundation in Algebra I and will be prepared for other higher-level math courses.

Note: content varies depending on the course version. For currently enrolled students, please refer to the syllabus located in the course information area for curriculum specifics.

### Segment 1:

• Module 1Algebra Basics
• Algebraic Expressions
• Solving One-Variable Equations
• Creating One-Variable Equations
• One-Variable Inequalities
• One-Variable Compound Inequalities
• Literal Equations
• Module 2Linear Functions
• Relations and Functions
• Evaluating Functions
• Key Features of Linear Functions
• Writing Linear Functions
• Comparing Linear Functions
• Module 3Exponential Functions
• Exponential Equations and Functions
• Key Features of Exponential Functions
• Graphing Exponential Functions
• Sequences
• Exploring Linear and Exponential Functions
• Module 4Systems of Equations and Inequalities
• Solving Systems of Equations  Graphically
• Solving Systems of Equations Algebraically
• Equivalent Systems
• Solving Systems of Equations Approximately
• Two-Variable Linear Inequalities
• Systems of Linear Inequalities

### Segment 2

• Module 5Statistics
• Representing Data
• Comparing Data Sets
• Data Sets and Outliers
• Two-Way Frequency Tables
• Scatter Plots and Line of Best Fit
• Correlation and Causation
• Module 6Polynomial Operations
• Characteristics of Polynomials
• Multiplying and Dividing Monomials
• Multiplying and Dividing Polynomials
• Function Composition
• Module 7Factoring and Graphing Polynomials
• Greatest Common Factor
• Factoring by Grouping
• Factoring Trinomials
• Difference of Perfect Squares
• Graphing Polynomial Functions
• Completing the Square
• Exploring Nonlinear System and Growth

### Competencies

• Algebra Fundamentals
Students will demonstrate an understanding of algebra fundamentals by analyzing algebraic expressions, and solving equations and inequalities.
• Linear Functions
Students will demonstrate an understanding of linear functions by analyzing relations and functions, analyzing graphs of linear functions, and solving linear equations and functions.
• Exponential Functions
Students will demonstrate an understanding of exponential functions simplifying exponents and radicals and analyzing graphs of exponential functions.
• Systems of Equations and Inequalities
Students will demonstrate an understanding of systems of equations by analyzing methods of solving systems of equations and linear equalities.
• Statistical Analysis
Students will demonstrate an understanding of statistical analysis by analyzing data sets and visual representations of data and explaining correlation and causation.
• Polynomial Operations
Students will demonstrate an understanding of polynomial operations by analyzing characteristics of polynomials and performing operations with polynomials.
• Factoring and Graphing Polynomials
Students will demonstrate an understanding of factoring and graphing polynomials by analyzing factoring methods and graphs of polynomial functions.
Students will demonstrate an understanding of quadratic functions by analyzing graphs of quadratic functions, using factoring to solve quadratics, and analyzing quadratic function applications.

### Pre-Requisites

Successful completion of a pre-algebra course

### Honors

Course: To complete the honors version of this offering, you must discuss this with your instructor during your welcome call.

Project/Experience: Honors is awarded by earning "Exceeds" on all rubric assessments.

## Attend a virtual open house

We offer regular online open house webinars where VLACS staff members provide parents and students with an overview of our programs and answer questions about online learning.