Introduction to Whole Numbers

• Place Value and Names for Whole Numbers
• Rounding Whole Numbers
• Comparing Whole Numbers

Adding and Subtracting Whole Numbers

• Adding Whole Numbers and Applications
• Subtracting Whole Numbers and Applications
• Estimation

Multiplying and Dividing Whole Numbers

• Multiplying Whole Numbers and Applications
• Dividing Whole Numbers and Applications

Properties of Whole Numbers

• Properties and Laws of Whole Numbers
• The Distributive Property

Exponents, Square Roots, and the Order of Operations

• Understanding Exponents and Square Roots
• Order of Operations

Introduction to Fractions and Mixed Numbers

• Introduction to Fractions and Mixed Numbers
• Proper and Improper Fractions
• Factors and Primes
• Simplifying Fractions
• Comparing Fractions

Multiplying and Dividing Fractions and Mixed Numbers

• Multiplying Fractions and Mixed Numbers
• Dividing Fractions and Mixed Numbers

Adding and Subtracting Fractions and Mixed Numbers

• Adding Fractions and Mixed Numbers
• Subtracting Fractions and Mixed Numbers

Introduction to Decimals

• Decimals and Fractions
• Ordering and Rounding Decimals

Decimal Operations

• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Estimation with Decimals

Ratio and Rates 

• Ratio and Rates

Proportions 

• Understanding Proportions

Introduction to Percents 

• Convert Percents, Decimals, and Fractions

Solving Percent Problems 

• Solve Percent Problems

Solving Equations

• Solving One-Step Equations Using Properties of Equality
• Solving Multi-Step Equations
• Special Cases and Applications
• Formulas

Solving Inequalities

• Solving One-Step Inequalities
• Multi-Step Inequalities

Compound Inequalities and Absolute Value

• Compound Inequalities
• Equations and Inequalities and Absolute Value

Integer Exponents

• Exponential Notation
• Simplify by Using the Product, Quotient, and Power Rules
• Products and Quotients Raised to Powers
• Scientific Notation

Polynomials with Single Variables

• Introduction to Single Variable Polynomials
• Adding and Subtracting Polynomials
• Multiplying Polynomials
• Multiplying Special Cases
• Dividing by a Monomial
• Dividing by Binomials and Polynomials

Polynomials with Several Variables

• Simplifying and Evaluating Polynomials with More than One Term
• Operations with Polynomials

Introduction to Factoring

• Greatest Common Factor

Factoring Polynomials

• Factoring Trinomials
• Factoring: Special Cases
• Special Cases: Cubes

Solving Quadratic Equations

• Solve Quadratic Equations by Factoring

Graphs and Applications

• The Coordinate Plane
• Graphing Linear Equations

Slope and Writing the Equation of a Line

• Finding the Slope of a Line
• Writing the Equation of a Line
• Parallel and Perpendicular Lines
• Graphing Linear Inequalities

Graphing Systems of Equations and Inequalities

• Graphing Systems of Linear Equations
• Graphing Systems of Inequalities

Algebraic Methods to Solve Systems of Equations

• The Substitution Method
• The Elimination Method

Systems of Equations in Three or More Variables

• Solving Systems of Three Variables

Operations with Rational Expressions

• Introduction to Rational Expressions
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Complex Rational Expressions

Rational Equations

• Solving Rational Equations and Applications

Formulas and Variation

• Rational Formulas and Variation

Operations with Radicals

• Multiplying and Dividing Radical Expressions
• Adding and Subtracting Radicals
• Multiplication of Multiple Term Radicals
• Rationalizing Denominators

Radical Equations

• Solving Radical Equations

Complex Numbers

• Complex Numbers
• Operations with Complex Numbers

Solving Quadratic Equations

• Square Roots and Completing the Square
• The Quadratic Formula

Introduction to Functions

• Identifying Functions

Using Functions

• Evaluating Functions
• Graphing Types of Functions
• Finding Domain and Range

Operations with Functions

• Arithmetic Operations with Functions

Exponential Functions

• Introduction to Exponential Functions

Logarithmic Functions

• Introduction to Logarithmic Functions
• Properties of Logarithmic Functions

Natural Logarithms

• Introduction to Natural and Common Logarithms

Logarithmic and Exponential Equations

• Solving Exponential and Logarithmic Equations
• Mathematical Modeling with Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

• Identifying the Six Trigonometric Functions
• Right Triangle Trigonometry
• Unit Circle Trigonometry

Graphing Trigonometric Functions

• Degree and Radian Measure
• Graphing the Sine and Cosine Function
• Amplitude and Period