- 1. Expressions, Equations, and Functions
This chapter covers the relationships among expressions, equations, and functions when variables are present. Also explored is how these ideas can be shown on graphs.
- 2. Properties of Real Numbers
This chapter covers various forms that rational numbers can assume, including fractions, integers, and square roots. Also considered are different operations for manipulating rational numbers.
- 3. Linear Equations
This chapter introduces students to methods of solving simple equations involving variables. Also covered are ratios, scale, and the percent equation.
- 4. Graphing Linear Equations and Functions
This chapter provides students with a more in-depth understanding of equations by introducing coordinate plane graphing concepts such as intercepts and slope.
- 5. Writing Linear Equations
This chapter focuses on writing various forms of equations based upon real-world data and already existing lines. Students will also learn about predicting data using a fitted line.
- 6. Linear Inequalities and Absolute Value; An Introduction to Probability
This chapter covers operations of inequalities, including addition, subtraction, multiplication and division. These principles are then applied to absolute value and probability.
- 7. Systems of Equations and Inequalities; Counting Methods
This chapter introduces students to linear systems of equations and inequalities as well as probability and combinations. Operations on linear systems are covered, including addition, subtraction, multiplication, and division.
- 8. Exponents and Exponential Functions
This chapter covers more complex properties of exponents when used in functions. Exponential decay and growth are considered, as are geometric sequences and scientific notation.
- 9. Polynomials and Factoring; More on Probability
This chapter introduces students to polynomials and their basic operations as well as the process of factoring polynomials, quadratic expressions, and special products. Also considered is probability through compound events.
- 10. Quadratic Equations and Functions
This chapter introduces students to quadratic equations and various methods of solving them. Also considered is the discriminant and linear, exponential, and quadratic models.
- 11. Radicals and Geometry Connections; Data Anaylsis
This chapter covers the concept of the radical and its uses in geometry, including the Distance and Midpoint Formula and Pythagorean’s Theorem. Also considered are methods of analyzing data with charts and graphs.
- 12. Rational Equations and Functions; Statistics
This chapter covers rational functions and the operations of rational expressions. Students learn to graph rational functions, divide polynomials, and analyze surveys and samples.