# Unit 1 - Whole Numbers

## Lesson 1 - Introduction to Whole Numbers

Topic 1 - Place Value and Names for Whole Numbers
Topic 2 - Rounding Whole Numbers
Topic 3 - Comparing Whole Numbers

## Lesson 2 - Adding and Subtracting Whole Numbers

Topic 1 - Adding Whole Numbers and Applications
Topic 2 - Subtracting Whole Numbers and Applications
Topic 3 - Estimation

## Lesson 3 - Multiplying and Dividing Whole Numbers

Topic 1 - Multiplying Whole Numbers and Applications
Topic 2 - Dividing Whole Numbers and Applications

## Lesson 4 - Properties of Whole Numbers

Topic 1 - Properties and Laws of Whole Numbers
Topic 2 - The Distributive Property

## Lesson 5 - Exponents, Square Roots, and the Order of Operations

Topic 1 - Understanding Exponents and Square Roots
Topic 2 - Order of Operations

# Unit 2 - Fractions and Mixed Numbers

## Lesson 1 - Introduction to Fractions and Mixed Numbers

Topic 1 - Introduction to Fractions and Mixed Numbers
Topic 2 - Proper and Improper Fractions
Topic 3 - Factors and Primes
Topic 4 - Simplifying Fractions
Topic 5 - Comparing Fractions

## Lesson 2 - Multiplying and Dividing Fractions and Mixed Numbers

Topic 1 - Multiplying Fractions and Mixed Numbers
Topic 2 - Dividing Fractions and Mixed Numbers

## Lesson 3 - Adding and Subtracting Fractions and Mixed Numbers

Topic 1 - Adding Fractions and Mixed Numbers
Topic 2 - Subtracting Fractions and Mixed Numbers

# Unit 3 - Decimals

## Lesson 1 - Introduction to Decimals

Topic 1 - Decimals and Fractions
Topic 2 - Ordering and Rounding Decimals

## Lesson 2 - Decimal Operations

Topic 1 - Adding and Subtracting Decimals
Topic 2 - Multiplying and Dividing Decimals
Topic 3 - Estimation with Decimals

# Unit 4 - Ratios, Rates, and Proportions

## Lesson 1 - Ratio and Rates

Topic 1 - Simplifying Ratios and Rates

## Lesson 2 - Proportions

Topic 1 - Understanding Proportions

# Unit 5 - Percents

## Lesson 1 - Introduction to Percents

Topic 1 - Convert Percents, Decimals, and Fractions

## Lesson 2 - Solving Percent Problems

Topic 1 - Solving Percent Problems

# Unit 6 - Measurement

## Lesson 1 - U.S. Customary Units of Measurement

Topic 1 - Length
Topic 2 - Weight
Topic 3 - Capacity

## Lesson 2 - Metric Units of Measurement

Topic 1 - The Metric System
Topic 2 - Converting within the Metric System
Topic 3 - Using Metric Conversions to Solve Problems

## Lesson 3 - Temperature

Topic 1 - Temperature Scales

# Unit 7 - Geometry

## Lesson 1 - Basic Geometric Concepts and Figures

Topic 1 - Figures in 1 and 2 Dimensions
Topic 2 - Properties of Angles
Topic 3 - Triangles
Topic 4 - The Pythagorean Theorem

## Lesson 2 - Perimeter, Circumference, and Area

Topic 2 - Perimeter and Area
Topic 3 - Circles

Topic 1 - Solids

# Unit 8 - Concepts in Statistics

## Lesson 1 - Statistical Graphs and Tables

Topic 1 - Graphing Data
Topic 2 - Other Types of Graphs

## Lesson 2 - Measures of Center

Topic 1 - Measures of Center

## Lesson 3 - Graphical Representations

Topic 1 - Use and Misuse of Graphical Representations

## Lesson 4 - Probability

Topic 1 - Probability

# Unit 9 - Real Numbers

## Lesson 1 - Introduction to Real Numbers

Topic 1 - Variables and Expressions
Topic 2 - Integers
Topic 3 - Rational and Real Numbers

## Lesson 2 - Operations with Real Numbers

Topic 2 - Adding Real Numbers
Topic 3 - Subtracting Real Numbers
Topic 4 - Multiplying and Dividing Real Numbers

## Lesson 3 - Properties of Real Numbers

Topic 1 - Associative, Commutative, and Distributive Properties

## Lesson 4 - Simplifying Expressions

Topic 1 - Order of Operations

# Unit 10 - Solving Equations and Inequalities

## Lesson 1 - Solving Equations

Topic 1 - Solving One-Step Equations Using Properties of Equality
Topic 2 - Solving Multi-Step Equations
Topic 3 - Special Cases and Applications
Topic 4 - Formulas

## Lesson 2 - Solving Inequalities

Topic 1 - Solving One-Step Inequalities
Topic 2 - Multi-Step Inequalities

## Lesson 3 - Compound Inequalities and Absolute Value

Topic 1 - Compound Inequalities
Topic 2 - Equations and Inequalities and Absolute Value

# Unit 11 - Exponents and Polynomials

## Lesson 1 - Integer Exponents

Topic 1 - Exponential Notation
Topic 2 - Simplify by Using the Product, Quotient, and Power Rules
Topic 3 - Products and Quotients Raised to Powers
Topic 4 - Scientific Notation

## Lesson 2 - Polynomials with Single Variables

Topic 1 - Introduction to Single Variable Polynomials
Topic 2 - Adding and Subtracting Polynomials
Topic 3 - Multiplying Polynomials
Topic 4 - Multiplying Special Cases
Topic 5 - Dividing by a Monomial
Topic 6 - Dividing by Binomials and Polynomials

## Lesson 3 - Polynomials with Several Variables

Topic 1 - Simplifying and Evaluating Polynomials with More than One Term
Topic 2 - Operations with Polynomials

# Unit 12 - Factoring

## Lesson 1 - Introduction to Factoring

Topic 1 - Greatest Common Factor

## Lesson 2 - Factoring Polynomials

Topic 1 - Factoring Trinomials
Topic 2 - Factoring: Special Cases
Topic 3 - Special Cases: Cubes

## Lesson 3 - Solving Quadratic Equations

Topic 1 - Solve Quadratic Equations by Factoring

# Unit 13 - Graphing

## Lesson 1 - Graphs and Applications

Topic 1 - The Coordinate Plane
Topic 2 - Graphing Linear Equations

## Lesson 2 - Slope and Writing the Equation of a Line

Topic 1 - Finding the Slope of a Line
Topic 2 - Writing the Equation of a Line
Topic 3 - Parallel and Perpendicular Lines
Topic 4 - Graphing Linear Inequalities

# Unit 14 - Systems of Equations and Inequalities

## Lesson 1 - Graphing Systems of Equations and Inequalities

Topic 1 - Graphing Systems of Linear Equations
Topic 2 - Graphing Systems of Inequalities

## Lesson 2 - Algebraic Methods to Solve Systems of Equations

Topic 1 - The Substitution Method
Topic 2 - The Elimination Method

## Lesson 3 - Systems of Equations in Three or More Variables

Topic 1 - Solving Systems of Three Variables

# Unit 15 - Rational Expressions

## Lesson 1 - Operations with Rational Expressions

Topic 1 - Introduction to Rational Expressions
Topic 2 - Multiplying and Dividing Rational Expressions
Topic 3 - Adding and Subtracting Rational Expressions
Topic 4 - Complex Rational Expressions

## Lesson 2 - Rational Equations

Topic 1 - Solving Rational Equations and Applications

## Lesson 3 - Formulas and Variation

Topic 1 - Rational Formulas and Variation

## Lesson 1 - Introduction to Roots and Rational Exponents

Topic 1 - Roots
Topic 2 - Squares, Cubes, and Beyond
Topic 3 - Rational Exponents

## Lesson 2 - Operations with Radicals

Topic 1 - Multiplying and Dividing Radical Expressions
Topic 3 - Multiplication of Multiple Term Radicals
Topic 4 - Rationalizing Denominators

## Lesson 3 - Radical Equations

Topic 1 - Solving Radical Equations

## Lesson 4 - Complex Numbers

Topic 1 - Complex Numbers
Topic 2 - Operations with Complex Numbers

## Lesson 5 - Solving Quadratic Equations

Topic 1 - Square Roots and Completing the Square
Topic 2 - The Quadratic Formula

# Unit 17 - Functions

## Lesson 1 - Introduction to Functions

Topic 1 - Identifying Functions

## Lesson 2 - Using Functions

Topic 1 - Evaluating Functions
Topic 2 - Graphing Types of Functions
Topic 3 - Finding Domain and Range

## Lesson 3 - Operations with Functions

Topic 1 - Arithmetic Operations with Functions

# Unit 18 - Exponential and Logarithmic Functions

## Lesson 1 - Exponential Functions

Topic 1 - Introduction to Exponential Functions

## Lesson 2 - Logarithmic Functions

Topic 1 - Introduction to Logarithmic Functions
Topic 2 - Properties of Logarithmic Functions

## Lesson 3 - Natural Logarithms

Topic 1 - Introduction to Natural and Common Logarithms

## Lesson 4 - Logarithmic and Exponential Equations

Topic 1 - Solving Exponential and Logarithmic Equations
Topic 2 - Mathematical Modeling with Exponential and Logarithmic Functions

# Unit 19 - Trigonometry

## Lesson 1 - Introduction to Trigonometric Functions

Topic 1 - Identifying the Six Trigonometric Functions
Topic 2 - Right Triangle Trigonometry
Topic 3 - Unit Circle Trigonometry

## Lesson 2 - Graphing Trigonometric Functions

Topic 1 - Degree and Radian Measure
Topic 2 - Graphing the Sine and Cosine Functions
Topic 3 - Amplitude and Period