Algebra

Basic Concepts

            Sets

            Subsets, Supersets, and Operations with Sets

            Variables and Algebraic Expressions

            Monomials

            Polynomials

            Factoring

            Factoring Polynomials (ax2 + bx + c)

            Factoring by Grouping

            Algebraic Fractions

Equations and Solving an Equation

            Axioms of Equality

            Literal Equations

            Ratios and Proportions

• Ratios
• Proportions and Solving Proportions for Value

Linear Equations

            Linear Equations with One Variable

            Linear Equations with Two Variables

• Solution Using Graphing
• Solution Using Substitution
• Solution Using Elimination

Non-Linear Equations

            Roots and Radicals

            Operations with Square Roots

            Quadratics with One Variable

• Solution Using Graphing
• Solution by Factoring
• Solution by Completing the Square
• Solution by the Quadratic Formula

Inequalities, Axioms, and Properties of Inequalities

            Graphing on a Number Line and Graphing Inequalities

            Solving Linear Inequality with One Variable

            Solving Systems of Linear Inequalities with One Variable

            Solving Quadratic Inequalities

Absolute Value Equations and Inequalities

            Absolute Values

            Solving Absolute Value Equations

            Inequalities Containing Absolute Value

Analytic Geometry (Coordinate Geometry)

            Coordinate System

            Graphing Linear Equations

·         Finding the Equation of a Line

            Graphing Quadratic Equations

            Graphing Linear Inequalities with Two Variables

Functions and Variables

            The Idea of a Function

• Relations, Domain and Range
• Defining a Function
• Graphs of Relationships that are Functions
• Graphs of Relationships that are Not Functions

            Variations

• Direct Variation
• Inverse Variation (Indirect Variation)

Linear Equations

            Linear Equations with One Variable

            Linear Equations with Two Variables

• Solution Using Graphing
• Solution Using Substitution
• Solution Using Elimination
• Matrix Solution
• Concept of Matrices
• Solution Using Matrices
• Solution Using Determinants

            Linear Equations with Three Variables

• Analytic Geometry in Three Dimensions
• Solution Using Graphing
• Solution Using Substitution
• Solution Using Elimination
• Solution Using Matrices
• Solution Using Determinants

Non-Linear Equations

            Quadratics with One Variable

• Solution Using Graphing
• Solution by Factoring
• Solution by Completing the Square
• Solution by the Quadratic Formula

            Quadratic Systems

Inequalities, Axioms, and Properties of Inequalities

            Graphing on a Number Line and Graphing Inequalities

            Solving Linear Inequality with One Variable

            Solving Systems of Linear Inequalities with One Variable

            Solving Quadratic Inequalities

            Solving Systems of Quadratic Inequalities

Exponential and Logarithmic Functions

            Exponents and Exponential Functions

            Logarithms and Logarithmic Functions

            Exponential and Logarithmic Equations

Sequences and Series

            Arithmetic Sequence

            Arithmetic Series

            Geometric Sequence

            Geometric Series

Introduction to Statistics

            Introduction to Counting Methods

            Permutations

            Combinations

            Binomial Coefficients and Binomial Theorem

            Introduction to Statistics

            Introduction to Probability