- 1. Equations and Functions
This chapter covers evaluating algebraic expressions, order of operations, using verbal models to write equations, solving problems using equations, inequalities, identifying the domain and range of a function, and graphs of functions.
- 2. Real Numbers
This chapter covers graphing and comparing integers, finding absolute values, ordering rational numbers, performing basic operations with rational numbers, and applying the commutative, associative, and distributive properties.
- 3. Equations of Lines
This chapter covers solving one-step equations, solving two-step and multi-step equations, using ratios and proportions, solving problems using scale drawings, using similar figures to measure, and finding the percent of a number.
- 4. Graphs of Equations and Functions
This chapter covers plotting points in a coordinate plane, graphing functions given a table or rule, graphing linear equations, graphing using intercepts and slope-intercept form, and solving real-world problems using direct variation.
- 5. Writing Linear Equations
This chapter covers linear equations in slope-intercept form and point-slope form, standard form for linear equations, equations of parallel and perpendicular lines, and problem solving using linear models.
- 6. Linear Inequalities
This chapter covers solving and graphing linear inequalities, identifying the number of solutions of an inequality, solving compound inequalities, and solving absolute value equations & inequalities.
- 7. Solving Systems of Equations and Inequalities
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. Exponential Functions
This chapter covers exponent properties involving products and quotients, expressions with zero, negative & fractional exponents, scientific notation, and geometric sequences.
- 9. Polynomials
This chapter covers addition & subtraction of polynomials, multiplication of polynomials, special products of polynomials, solving simple polynomial equations by factoring, and factoring quadratic expressions.
- 10. Quadratic Equations and Quadratic Functions
This chapter covers graphing quadratic functions, indentifying the number of solutions of quadratic equations, solving quadratic equations using the quadratic formula, and finding the discriminant of a quadratic equation.
- 11. Algebra and Geometry Connections
This chapter covers graphing and comparing square root functions, solving radical equations, using the Pythagorean theorem and its converse, and applying the distance formula and midpoint formula.
- 12. Rational Equations and Functions
This chapter covers inverse variation models, graphing rational functions, division of polynomials, multiplication, division, addition & subtraction of rational expressions, solving rational equations, and designing & conducting a survey.
- 13. Probability and Statistics
An introduction to theoretical probability and data organization including events, conditions, random variables, and graphs/tables.