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High School Algebra I

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Suggested Prerequisites

Grade 7 Mathematics Advanced or Pre-Algebra

Description

This course 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 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.

Module One: Algebra Basics

-Algebraic Expressions

-Solving One-Variable Equations

-Creating One-Variable Equations

-One-Variable Inequalities

-One-Variable Compound Inequalities

-Literal Equations


Module Two: Linear Functions

-Relations and Functions

-Evaluating Functions

-Key Features of Linear Functions

-Writing Linear Functions

-Comparing Linear Functions


Module Three: Exponential Functions

-Exponents and Radicals

-Exponential Equations and Functions

-Key Features of Exponential Functions

-Graphing Exponential Functions

-Sequences

-Exploring Linear and Exponential Functions


Module Four: 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


Module Five: 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 Six: Polynomial Operations

-Characteristics of Polynomials

-Adding and Subtracting Polynomials

-Multiplying and Dividing Monomials

-Multiplying and Dividing Polynomials

-Function Composition


Module Seven: Factoring and Graphing Polynomials

-Greatest Common Factor

-Factoring By Grouping

-Factoring Trinomials

-Difference of Perfect Squares

-Graphing Polynomial Functions


Module Eight: Quadratic Functions

-Graphing Quadratic Functions

-Completing the Square

-Quadratic Formula

-Applications of Quadratic Functions

-Comparing Quadratic Functions

-Exploring Non-linear Systems and Growth