Course 3

Patterns and Variables

• Patterns in Pictures
• Patterns in Tables
• Patterns in Numbers
• Variables in Expressions
• Combining Like Terms
• Equivalent Expressions
• Variables in Formulas
• Pick's Formula

Real Numbers

• Sets and Symbols
• Subsets & Venn Diagrams
• Set Operations
• Sets of Numbers
• Real Numbers
• The Real Number Line
• Opposites & Absolute Values
• Adding Real Numbers
• Subtracting Real Numbers
• Multiplying Real Numbers
• Dividing Real Numbers
• Properties of Real Numbers

Exponents

• Understanding Exponents
• Negative Exponents and Zero Exponents
• Basic Rules of Exponents
• Exponents With More Than One Base
• Using the Power Rules
• Simplifying Fractional Exponents
• Decimal Exponents
• Scientific Notation
• Graphing Exponential Functions

Functions

• Understanding Ordered Pairs
• Exploring Tables
• Graphing Functions
• Interpreting Graphs
• Domain and Range of Functions
• Multiple Representations of Functions
• When is a Relation a Function?
• Functions in Different Forms

One and Multi-Step Functions

• The Language of Algebra
• Linear Equations
• One-Step Equations: Adding and Subtracting
• One-Step Equations: Multiplying and Dividing
• Solving Two-Step Equations
• Solving Multi-Step Equations: Combining Like Terms
• Solving Multi-Step Equations: The Distributive Property
• Solving Multi-Step Equations
• Solving Mult-Step Equations: A Summary
• Solving Equations with Fractions and Decimals

Linear Equations and Graphs

• Linear Graphs
• Slope and Rate of Change
• Finding Slope
• Horizontal and Vertical Lines
• Point-Slope Form
• The Slope-Intercept Form
• Point-Point Form
• Standard Form of an Equation of a Line
• The Forms of a Linear Equation
• Perpendicular and Parallel Lines
• Solving Linear Equations by Graphing
• Direct Variation
• Equations of Lines of Best Fit
• Absolute Value Functions
• Step Functions

Linear Inequalities

• Graphing Inequalities On The Number Line
• Solving One-step Inequalities involving Addition and Subtraction
• Inequalities involving Multiplication and Division with Positive Numbers
• Inequalities involving Multiplication and Division with Negative Numbers
• Solving Two-Step Inequalities
• Solving Compound Inequalities
• Solving and Graphing Absolute Value Inequalities
• Comparing Inequalities
• Solving Inequalities With Two Variables

Systems of Equations and Inequalities

• Systems of Equations
• Solving Systems by Graphing
• Solving Systems of Equations by Linear Combination
• Solving Systems of Equations by Substitution
• Graphing Systems of Linear Inequalities
• An Introduction to Linear Programming
• Linear Programming

Rates and Rational Expressions

• Exploring Ratios
• Ratios into Rates
• Rates across Representations
• Comparing Ratios and Rates
• Looking at Proportional Situations
• Applying Proportional Reasoning: Mixtures
• Similar Figures and Polygons
• Proportional Relationship: Direct Variation
• Variations that are Not Direct
• Joint Variation

Quadratic Equations

• Graphing Quadratic Functions
• Graphing Quadratic Functions using Transformations
• Graphing Quadratic Functions in Vertex Form
• Completing the Square
• Solving Quadratics by Graphing
• Using the Quadratic Formula
• Solving Quadratic Equations Using Different Methods
• Comparing Linear, Exponential, and Quadratic Functions

Radicals

• Investigating Radicals
• Simplifying Radicals
• Adding and Subtracting Radicals
• Multiplying and Dividing Radicals
• Finding Distance
• Investigating Square Root Functions
• Solving Radical Equations
• Connecting Quadratic and Square Root Functions

Polynomials

• Understanding Polynomials
• More Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• The Distributive Property & Polynomials
• Multiplying Binomials and Trinomials
• Dividing Monomials
• Dividing Polynomials

Factoring

• Factoring and Representation: Special Products
• Factoring Using the Distributive Property
• Factoring Trinomials
• Factoring Trinomials with a Leading Coefficient
• Solving Quadratic Equations by Factoring
• Factoring Cubic Polynomials

Data Analysis

• Bar Graphs
• Box and Whisker Plots
• Comparing Data Using Box Plots
• Stem and Leaf Plots
• Scatter Plots
• Modeling Data
• Analyzing a Problem from Multiple Perspectives
• Gathering Data Through Surveys
• Designing an Experiment
• Exploring Standard Deviation
• Correlation

Probability

• Introduction to Probability
• Experimental & Theoretical Probability
• Displaying Data
• Probability of Independent Events
• Probability of Dependent Events
• Odds
• Permutations
• Permutations and Factorials
• Combinations
• Calculating Combinations
• Permutations, Combinations and Probability
• Pascal's Triangle

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