Topic A: The Real Number System & Algebraic Expressions

• Concept 1: Properties of Real Numbers
• Concept 2: Order of Operations; Signed Numbers; Evaluating Absolute Value

Topic B: Linear Equations & Word Problems; Percentage; Distance Problems; Dimensional Analysis

• Concept 1: Solving Linear Equations
• Concept 2: Solving Equations with Multiple Variables
• Concept 3: Number, Consecutive Integer and Separation Problems
• Concept 4: Coin, Stamp and Age Problems
• Concept 5: Perimeter Problems
• Concept 6: Rates and Dimensional Analysis
• Concept 7: Percent; Percent Change
• Concept 8: Percent Error; Relative Error; Rounding Off
• Concept 9: Distance, Speed & Time Problems

Topic C: Inequalities (Interval Notation) & Absolute Value

• Concept 1: Solving Absolute Value Equations
• Concept 2: Inequalities and interval Notation
• Concept 3: Inequality Word Problems

Topic D: Arithmetic and Geometric Sequences

• Concept 1: Recursive and Explicit Sequences
• Concept 2: Arithmetic Sequences
• Concept 3: Geometric Sequences

Topic E: Working with Functions: Domain, Range, One-to-One Functions

• Concept 1: Domain, Range and Function Notation; Appropriate Domain for a Situation
• Concept 2: Evaluating Functions: Using Graphs to Evaluate a Function
• Concept 3: Is a Relation a Function?; The Vertical Line Test
• Concept 4: One- to- One Functions; The Horizontal Line Test
• Concept 5: The Inverse of a Function

Topic F: Linear Functions, Equation of a Line, Zeros, Slope & Average Rate of Change

• Concept 1: Slope
• Concept 2: Finding x and y intercepts; Zeros of a Function
• Concept 3: Finding the Equation of a Line: y = mx + b; Point-Slope form
• Concept 4: Determining if a Point is on a Line
• Concept 5: Graphing Linear Equations & Inequalities
• Concept 6: Parallel and Perpendicular Lines
• Concept 7: Direct Variations; Proportions
• Concept 8: Applications of Linear Functions; Matching Expression with Situation
• Concept 9: Average Rate of Change

Topic G: Solving Linear Systems of Equations & Inequalities

• Concept 1: Solving Systems of Linear Equations Algebraically
• Concept 2: Solving Systems of Linear Equations Graphically
• Concept 3: Graphing a System of Linear Inequalities
• Concept 4: Problem Solving with Systems of Linear Equations

Topic H: Parent Functions; Shifts, Reflections & Stretches; Piecewise Functions; Increasing & Decreasing Functions

• Concept 1: Parent Functions; Shifting the Graphs of Functions
• Concept 2: Increasing, Decreasing, and Constant Functions
• Concept 3: Graphing Piecewise Functions
• Concept 4: Interpreting Speed, Distance & Time Graphs

Topic I: Exponents; Exponential & Absolute Value Functions

• Concept 1: Multiplying & Dividing Monomials; Working with Exponents
• Concept 2: Working with Negative and Zero Exponents
• Concept 3: Scientific Notation
• Concept 4: Working with Rational (Fractional) Exponents
• Concept 5: Solving Exponential Equations
• Concept 6: Graphing Exponential & Absolute Value Functions
• Concept 7: Applications of Exponential Functions; Growth and Decay

Topic J: Operations with Polynomials

• Concept 1: Adding and Subtracting Monomials; Like Terms
• Concept 2: Adding and Subtracting Polynomials; Degree & Standard Form of a Polynomial
• Concept 3: Multiplying Polynomials; The FOIL Method
• Concept 4: Dividing Polynomials; Long Division

Topic K: Techniques of Factoring

• Concept 1: Greatest Common Factor (GCF)
• Concept 2: Factoring a Difference of Two Squares: D.O.T.S.
• Concept 3: Factoring Trinomials
• Concept 4: Factoring Trinomials of the form ax^2 + bx + c
• Concept 5: Factoring Completely
• Concept 6: Factoring by Grouping

Topic L: Rational (Fractional) Expressions & Equations

• Concept 1: Reducing Algebraic Fractions
• Concept 2: Undefined Fractions
• Concept 3: Multiplying and Dividing Algebraic Fractions
• Concept 4: Adding and Subtracting Algebraic Fractions
• Concept 5: Solving Fractional Equations

Topic M: Radicals & Solving Quadratic Equations

• Concept 1: Simplifying Radicals; Irrational Numbers
• Concept 2: Adding and Subtracting Radicals
• Concept 3: Multiplying and Dividing Radicals
• Concept 4: The Pythagorean Theorem (Review Topic)
• Concept 5: Solving Quadratic Equations by Factoring & Square Roots
• Concept 6: Solving Quadratic Equations Using the Quadratic Formula
• Concept 7: Solving Quadratic Equations by Completing The Square
• Concept 8: Solving a Linear-Quadratic System Algebraically

Topic N: Graphing Quadratics; The Parabola; Vertex Form; Systems of Equations

• Concept 1: Graphing a Quadratic Function; The Parabola: axis of symmetry
• Concept 2: Vertex Form of the Equation of a Parabola; domain, range, maximums & minimums
• Concept 3: Solving Systems Involving Quadratics Graphically
• Concept 4: Shifting, Reflecting, & Stretching the Graphs of Functions

Topic O: Applications of Quadratics

• Concept 1: Solving Quadratic Word Problems
• Concept 2: Applications of Quadratic Functions

Topic P: Statistics

• Concept 1: Surveys, Experiments and Bias
• Concept 2: Measures of Central Tendencies: Mean, Mode, Median; Interquartile Range, Outliers
• Concept 3: Interquartile Range, Outliers, Quartiles, Skewed and Symmetric Distributions
• Concept 4: Standard Deviation
• Concept 5: Linear Regression: Line of Best Fit; Correlation Coefficient
• Concept 6: Correlation and Causation; Bivariate and Univariate Data
• Concept 7: Two-Way Tables
• Concept 8: Residuals and Residual Plots
• Concept 9: Graphs in Statistics: Histograms (Quartiles), Box & Whisker, Stem & Leaf