1. Principles of Algebra

• 1.1 Expressions and Properties of Numbers
  • 1.1.1 Introduction to Exponents
  • 1.1.2 Using the Order of Operations
  • 1.1.3 Variables and Algebraic Expressions
  • 1.1.4 Translate Words into Math
  • 1.1.5 Properties of Numbers

• 1.2 Operations with Integers
  • 1.2.1 Integers
  • 1.2.2 Adding Integers
  • 1.2.3 Subtracting Integers
  • 1.2.4 Multiplying and Dividing Integers

• 1.3 Equations and Inequalities
  • 1.3.1 Addition and Subtraction Equations
  • 1.3.2 Multiplication and Division Equations
  • 1.3.3 Introduction to Inequalities

2. Rational Numbers

• 2.1 Operations with Rational Numbers
  • 2.1.1 Rational Numbers
  • 2.1.2 Comparing and Ordering Rational Numbers
  • 2.1.3 Adding and Subtracting Rational Numbers
  • 2.1.4 Multiplying Rational Numbers
  • 2.1.5 Dividing Rational Numbers

• 2.2 Equations with Rational Numbers
  • 2.2.1 Solving Equations with Rational Numbers
  • 2.2.2 Solving Two-Step Equations

3. Graphs, Functions, and Sequences

• 3.1 Tables and Graphs
  • 3.1.1 Ordered Pairs
  • 3.1.2 Graphing on a Coordinate Plane
  • 3.1.3 Interpreting Graphs and Tables

• 3.2 Functions and Sequences
  • 3.2.1 Functions
  • 3.2.2 Equations, Tables, and Graphs
  • 3.2.3 Arithmetic Sequences

4. Exponents and Roots

• 4.1 Properties of Exponents
  • 4.1.1 Product and Power Properties of Exponents
  • 4.1.2 Integer Exponents
  • 4.1.3 Quotient Properties of Exponents
  • 4.1.4 An Application of Exponents: Scientific Notation

• 4.2 Square Roots and the Pythagorean Theorem
  • 4.2.1 Square Roots and Real Numbers
  • 4.2.2 Operations with Square Roots
  • 4.2.3 The Pythagorean Theorem and the Distance Formula

5. Proportionality and Measurement

• 5.1 Ratios, Rates, and Proportions
  • 5.1.1 Ratios and Proportions
  • 5.1.2 Ratios, Rates, and Unit Rates
  • 5.1.3 Dimensional Analysis
  • 5.1.4 Solving Proportions

• 5.2 Similarity, Scale, and Measurement
  • 5.2.1 Similar Figures
  • 5.2.2 Dilations
  • 5.2.3 Indirect Measurement
  • 5.2.4 Scale Drawings and Scale Models

6. Percents

• 6.1 Proportions and Percents
  • 6.1.1 Relating Decimals, Fractions, and Percents
  • 6.1.2 Estimate with Percents
  • 6.1.3 Finding Percents
  • 6.1.4 Finding a Number When the Percent is Known

• 6.2 Applying Percents
  • 6.2.1 Percent Increase and Decrease
  • 6.2.2 Applications of Percents
  • 6.2.3 Simple Interest

7. Foundations of Geometry

• 7.1 Points, Lines, and Angles
  • 7.1.1 Points, Lines, and Planes
  • 7.1.2 Angles and Their Relationships

• 7.2 Polygons
  • 7.2.1 Triangles
  • 7.2.2 Classifying Polygons
  • 7.2.3 Coordinate Geometry
  • 7.2.4 Congruence

• 7.3 Patterns in Geometry
  • 7.3.1 Transformations
  • 7.3.2 Symmetry
  • 7.3.3 Tessellations

8. Perimeter, Area, and Volume

• 8.1 Perimeter and Area
  • 8.1.1 Perimeter and Area of Rectangles and Parallelograms
  • 8.1.2 Perimeter and Area of Triangles and Trapezoids
  • 8.1.3 Circles

• 8.2 Three-Dimensional Geometry
  • 8.2.1 Drawing Three-Dimensional Figures
  • 8.2.2 Volume of Prisms and Cylinders
  • 8.2.3 Volume of Pyramids and Cones
  • 8.2.4 Surface Area of Prisms and Cylinders
  • 8.2.5 Surface Area of Pyramids and Cones
  • 8.2.6 Spheres
  • 8.2.7 Scaling Three-Dimensional Figures
  • 8.2.8 Converting Units of Measurement

9. Data and Statistics

• 9.1 Collecting and Describing Data
  • 9.1.1 Samples and Surveys
  • 9.1.2 Identifying Sampling Errors and Bias
  • 9.1.3 Organizing Data
  • 9.1.4 Measures of Central Tendency
  • 9.1.5 Variability and Box-and-Whisker Plots

• 9.2 Data Displays
  • 9.2.1 Displaying Data
  • 9.2.2 Analyzing Data Displays
  • 9.2.3 Misleading Graphs and Statistics
  • 9.2.4 Scatter Plots
  • 9.2.5 Choosing the Best Representation of Data

10. Probability

• 10.1 Experimental Probability
  • 10.1.1 Probability
  • 10.1.2 Experimental Probability
  • 10.1.3 Use a Simulation

• 10.2 Theoretical Probability and Counting
  • 10.2.1 Theoretical Probability
  • 10.2.2 Independent and Dependent Events
  • 10.2.3 Making Decisions and Predictions
  • 10.2.4 Odds
  • 10.2.5 Counting Principles
  • 10.2.6 Permutations and Combinations

11. Multi-Step Equations and Inequalities

• 11.1 Solving Equations
  • 11.1.1 Simplifying Algebraic Expressions
  • 11.1.2 Solving Multi-Step Equations
  • 11.1.3 Solving Equations with Variables on Both Sides
  • 11.1.4 Solving Literal Equations

• 11.2 Solving Inequalities and Systems of Equations
  • 11.2.1 Solving Inequalities by Multiplying or Dividing
  • 11.2.2 Solving Multi-Step Inequalities
  • 11.2.3 Systems of Equations

12. Graphing Lines

• 12.1 Linear Equations
  • 12.1.1 Graphing Linear Equations
  • 12.1.2 Slope of a Line
  • 12.1.3 Using Slopes and Intercepts
  • 12.1.4 Point-Slope Form

• 12.2 Linear Relationships
  • 12.2.1 Direct Variation
  • 12.2.2 Graphing Inequalities in Two Variables
  • 12.2.3 Solving Systems of Linear Equations By Graphing
  • 12.2.4 Lines of Best Fit

13. Sequences and Functions

• 13.1 Sequences
  • 13.1.1 Terms of Arithmetic Sequences
  • 13.1.2 Terms of Geometric Sequences
  • 13.1.3 Other Sequences

• 13.2 Functions
  • 13.2.1 Linear Functions
  • 13.2.2 Exponential Functions
  • 13.2.3 Quadratic Functions
  • 13.2.4 Inverse Variation

14. Polynomials

• 14.1 Introduction to Polynomials
  • 14.1.1 Introduction to Polynomials
  • 14.1.2 Simplifying Polynomials

• 14.2 Operations with Polynomials
  • 14.2.1 Adding Polynomials
  • 14.2.2 Subtracting Polynomials
  • 14.2.3 Multiplying Polynomials by Monomials
  • 14.2.4 Multiplying Binomials