Detailed Course Information

Module 1: Essentials of Algebra

Algebra Fundamentals

• Introducing Variables
• Identifying Components of Algebraic Expressions
• Replacing Variables in a Formula

Evaluating an Algebraic Expression

• Representing the Dimensions and Area of a Rectangle
• Combining Like Terms
• Evaluating Expressions Using Substitution

Simple Equations

• Using Variables to Express Relationships
• Simplifying Algebraic Expressions
• Solving Simple Equations

Variables on Both Sides of the Equation

• Writing Equations
• Simplifying Both Sides of an Equation
• Checking the Solution to an Equation

Solving Literal Equations

• Identifying the Variables in a Given Formula
• Rewriting a Formula in Terms of a Different Variable
• Substituting Values and Solving an Equation

Geometry Fundamentals

• Naming and Measuring Angles
• Defining Complementary and Supplementary Angles
• Recognizing Congruent Angles

Triangles

• Classifying Triangles by Sides
• Exploring the Area of a Triangle
• Classifying Triangles by Angles

Volume and Surface Area

• Calculating Volume of a Right Triangular Prism
• Calculating Surface Area of a Right Triangular Prism
• Calculating Volume and Surface Area of a Right Cylinder

Introduction to Radicals & Pythagorean Theorem

• Exploring the Pythagorean Theorem
• Investigating Squares and Square Roots
• Defining Irrational Numbers

Introduction to Scientific Notation

• Writing Numbers Using Scientific Notation
• Comparing Numbers in Scientific Notation
• Writing Numbers Between 0 and 1 in Scientific Notation

Ratio

• Defining Ratio
• Expressing Ratios as Equivalent Fractions and Decimals
• Forming Ratios Between Unlike Quantities

Proportion

• Defining a Proportion
• Solving for a Variable in a Proportion
• Applying the Means/Extremes Property

Direct and Inverse Variation

• Exploring and Solving Direct Variation Problems
• Exploring Inverse Variation
• Solving Inverse Variation Problems

Similar Polygons

• Defining Similarity
• Identifying Equivalent Ratios
• Setting Up and Solving Proportions in Similar Polygons

Interpreting and Constructing Graphs

• Exploring Line Graphs
• Exploring Bar Graphs
• Interpreting Pie Charts

The Mean, Median, and Mode

• Defining the Mean and Median
• Defining the Mode
• Calculating the Mean, Median, and Mode

Frequency Distribution and Histograms

• Creating and Interpreting a Frequency Table
• Defining a Histogram
• Exploring Cumulative Frequency Graphs

Simple Probability

• Defining and Expressing Probability
• Calculating Probabilities on a Color Wheel
• Determining Probability of Complementary Events

Probability of Combined Events

• Calculating the Probability of Independent Events
• Determining the Sample Space of an Experiment
• Calculating the Probability of Dependent Events