Details
Course Overview
In this course, students explore the tools of algebra. Students learn to identify the structure and properties of the real number system; complete operations with integers and other rational numbers; work with square roots and irrational numbers; graph linear equations; solve linear equations and inequalities in one variable; solve systems of linear equations; use ratios, proportions, and percentages to solve problems; use algebraic applications in geometry, including the Pythagorean theorem and formulas for measuring area and volume; complete an introduction to polynomials; and understand logic and reasoning.
Course Outline
SEMESTER ONE
Unit 1: Algebra Basics
The English word algebra and the Spanish word algebrista both come from the Arabic word aljabr, which means “restoration.” A barber in medieval times often called himself an algebrista. The algebrista also was a bonesetter who restored or fixed bones. Mathematicians today use algebra to solve problems.
 Semester Introduction
 Expressions
 Variables
 Translating Words into Variable Expressions
 Equations
 Translating Words into Equations
 Replacement Sets
 Problem Solving
 Unit Review
 Unit Test
Unit 2: Properties of Real Numbers
Every rainbow contains the colors red, orange, yellow, green, blue, indigo, and violet. These seven colors form a set with properties that scientists, engineers, and artists use every day. Numbers can also be grouped into sets, and these number sets have properties that can help solve problems.
 Foundations
 Number Lines
 Sets
 Comparing Expressions
 Number Properties
 Distributive Property
 Algebraic Proof
 Opposites and Absolute Value
 Unit Review
 Unit Test
Unit 3: Operations with Real Numbers
There are many different kinds of numbers. Negative numbers, positive numbers, integers, fractions, and decimals are just a few of the many groups of numbers. What do these varieties of numbers have in common? They all obey the rules of arithmetic. They can be added, subtracted, multiplied, and divided.
 Foundations
 Addition 1
 Addition 2
 Subtraction
 Multiplication
 Reciprocals and Division
 Unit Review
 Unit Test
Unit 4: Solving Equations
The Greek mathematician Diophantus is often called “the father of algebra.” His book Arithmetica described the solutions to 130 problems. He did not discover all these solutions himself, but he did collect many solutions that had been found by Greeks, Egyptians, and Babylonians before him. Some people of long ago obviously enjoyed doing algebra. It also helped them solve many realworld problems.
 Addition and Subtraction Equations
 Multiplication and Division Equations 1
 Multiplication and Division Equations 2
 Multiple Transformations
 Variables on Both Sides of an Equation
 Transforming Formulas
 Unit Review
 Unit Test
Unit 5: Solving Inequalities
Every mathematician knows that 5 is less than 7, but when is y < x? An inequality symbol can be used to describe how one number compares to another. It can also indicate a relationship between values.
 Foundations
 Inequalities
 Solving Inequalities
 Combined Inequalities
 Absolute Value Equations and Inequalities
 Applications: Inequalities
 Unit Review
 Unit Test
Unit 6: Applying Fractions
What do a scale drawing, a bicycle's gears, and a sale at the local store all have in common? They all present problems that can be solved using equations with fractions.
 Foundations
 Ratios 1
 Ratios 2
 Proportions
 Your Choice
 Percents 1
 Percents 2
 Applications: Percents
 Unit Review
 Unit Test
Unit 7: Linear Equations and Inequalities
You’ve probably heard the phrase, “That’s where I draw the line!” In algebra, this expression can be taken literally. Linear functions and their graphs play an important role in the neverending quest to model the real world.
 Foundations
 Graphs
 Equations in Two Variables
 Lines and Intercepts
 Slope
 SlopeIntercept Form
 PointSlope Form
 Parallel and Perpendicular Lines
 Equations from Graphs
 Applications: Linear Models
 Graphing Linear Inequalities
 Unit Review
 Unit Test
Algebra I A, Unit 8: Systems of Equations
When two people meet, they often shake hands or say "hello" to each other. Once they start talking to each other, they can find out what they have in common. What happens when two lines meet? Do they say anything? Probably not, but whenever two lines meet, you know they have at least one point in common. Finding the point at which they meet can help you solve problems in the real world.
 Foundations
 Systems of Equations
 Substitution Method
 Linear Combination
 Applications: Systems of Linear Equations
 Systems of Linear Inequalities
 Unit Review
 Unit Test
Algebra I A, Unit 9: Semester Review and Test
 Semester Review
 Semester Test
To use this course, you'll need a computer with an Internet connection. Some courses require additional free software programs, which you can download from the Internet.
Hardware and Browsers (Minimum Recommendations)
Windows OS

CPU: 1.8 GHz or faster processor (or equivalent)

RAM: 1GB of RAM

Browser: Microsoft Internet Explorer 9.0 or higher, Mozilla Firefox 10.0 versions or higher, Chrome 17.0 or higher
 At this time our users are encouraged not to upgrade to Windows 10 or Edge (the new browser)
Mac OS

CPU: PowerPC G4 1 GHz or faster processor; Intel Core Duo 1.83 GHz or faster processor

RAM: 1GB of RAM

Browser: Firefox 10.0 versions or higher, Chrome 17.0 or higher (Safari is not supported!)
Internet Connections
It is highly recommended that a broadband connection be used instead of dial up.