Algebra I
Pre-Requisites: Middle School Accelerated Mathematics Grade 7 or Pre-Algebra
Credits: 1.0
Estimated Completion Time: 32-36 weeks
Description
This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Algebra I 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.
Major Topics and Concepts
Segment One
Module 01 - Algebra Basics
- Algebraic Expressions
- Solving One-Variable Equations
- Creating One-Variable Equations
- One-Variable Inequalities
- One-Variable Compound Inequalities
- Literal Equations
Module 02 - Linear Functions
- Relations and Functions
- Evaluating Functions
- Key Features of Linear Functions
- Writing Linear Functions
- Comparing Linear Functions
Module 03 - Exponential Functions
- Exponents and Radicals
- Exponential Equations and Functions
- Key Features of Exponential Functions
- Graphing Exponential Functions
- Sequences
- Exploring Linear and Exponential Functions
Module 04 - Systems 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 Two
Module 05 - Statistics
- Representing Data
- Comparing Data Sets
- Data Sets and Outliers
- Two-Way Frequency Tables
- Scatter Plots and Line of Best Fit
- Correlation and Causation
Module 06 - Polynomial Operations
- Characteristics of Polynomials
- Adding and Subtracting Polynomials
- Multiplying and Dividing Monomials
- Multiplying and Dividing Polynomials
- Function Composition
Module 07 - Factoring and Graphing Polynomials
- Greatest Common Factor
- Factoring By Grouping
- Factoring Trinomials
- Difference of Perfect Squares
- Graphing Polynomial Functions
Module 08 - Quadratic Functions
- Graphing Quadratic Functions
- Completing the Square
- Quadratic Formula
- Applications of Quadratic Functions
- Comparing Quadratic Functions
- Exploring Non-linear Systems and Growth
Grading Policy
To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.
