Course

Algebra I

Pre-Requisites: Middle School Grade 7 Mathematics or Pre-Algebra
Credits: 1.0
Estimated Completion Time: 2 segments/ 32-36 weeks


Description

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. Anyone can have a good time solving the hundreds of real-world problems algebra can help answer. Each module in this course is presented in a step-by-step way right on the computer screen. Hands-on labs 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.

Major Topics and Concepts

Segment 1

Module 01: Algebra Foundations
·         Numerical Operations
·         Algebraic Expressions
·         Units and Graphs
·         Descriptive Modeling and Accuracy
·         Translations
·         Algebraic Properties and Equations
 
Module 02: Equations and Inequalities
·         One-Variable Equations
·         Two-Variable Equations
·         Absolute Value Equations
·         Inequalities
·         Compound Inequalities
·         Literal Equations
 
Module 03: Linear Functions
·         Relations and Functions
·         Function Notation and Graphs
·         Linear Functions
·         Linear Models
·         Writing Linear Functions
·          Horizontal and Vertical Lines
 
Module 04: Exponential Functions
·         Properties of Exponents
·         Operations with Radicals
·         Exponential Functions and Models
·         Graphing Exponential Functions
·         Sequences
·         Exploring Linear and Exponential Growth
 
Module 05: Systems of Equations
·         Solving Systems of Equations Graphically
·         Solving Systems of Equations Algebraically
·         Solving Systems of Equations Approximately
·         Two-Variable Linear Inequalities
·         Systems of Linear Inequalities
 
Segment 2

Module 06: 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 07: Polynomials
·         Introduction to Polynomials
·         Addition and Subtraction of Polynomials
·         Multiplication of Monomials
·         Division of Monomials
·         Multiplication of Polynomials
·         Special Products
·         Division of Polynomials
·          Function Operations
 
Module 08: Factoring
·         Greatest Common Factor
·         Factoring By Grouping
·         Factoring Trinomials
·         Perfect Square Trinomials
·         Difference of Perfect Squares
·         Polynomial Functions
 
Module 09: Quadratic Functions
·         Quadratic Models
·         Quadratics and Completing the Square
·         Quadratics and the Quadratic Formula
·         Applications of Quadratic Functions
·         Exploring Non-Linear Systems and Growth

Grading Policy

To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions.

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