Big Ideas Math
Chapter 1: Solving Linear Equations
 Solving Simple Equations
 Solving Multi-Step Equations
 Solving Equations with Variables on Both Sides
 Rewriting Equations and Formulas
Chapter 2: Graphing and Writing Linear Equations
 Graphing Linear Equations
 Slope of a Line
 Graphing Linear Equations in Slope-Intercept Form
 Graphing Linear Equations in Standard Form
 Writing Equations in Slope-Intercept Form
 Writing Equations in Point-Slope Form
 Solving Real-Life Problems
Chapter 3: Solving Linear Inequalities
 Writing and Graphing Inequalities
 Solving Inequalities Using Addition or Subtraction
 Solving Inequalities Using Multiplication or Division
 Solving Multi-Step Inequalities
 Graphing Linear Inequalities in Two Variables
Chapter 4: Solving Systems of Linear Equations
 Solving Systems of Linear Equations by Graphing
 Solving Systems of Linear Equations by Substitution
 Solving Systems of Linear Equations by Elimination
 Solving Special Systems of Linear Equations
 Systems of Linear Inequalities
Chapter 5: Linear Functions
 Doman and Range of a Function
 Discrete and Continuous Domains
 Linear Function Patterns
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Function Notation
Comparing Linear and Nonlinear Functions
Arithmetic Sequences
Chapter 6: Exponential Equations and Functions
 Properties of Square Roots
 Properties of Exponents
 Radicals and Rational Exponents
 Exponential Functions
 Exponential Growth
 Exponential Decay
 Geometric Sequences
Chapter 7: Polynomial Equations and Factoring
 Polynomials
 Adding and Subtracting Polynomials
 Multiplying Polynomials
 Special Products of Polynomials
 Solving Polynomial Equations in Factored Form
 Factoring Polynomials Using the GCF
 Factoring 𝑥 2 + bx + c
 Factoring a𝑥 2 + bx + c
 Factoring Special Products
Chapter 8: Graphing Quadratic Functions
 Graphing y = a𝑥 2
 Focus of a Parabola
 Graphing y = a𝑥 2 + c
 Graphing y = a𝑥 2 + bx + c
 Comparing Linear, Exponential, and Quadratic Functions
Chapter 9: Solving Quadratic Equations
 Solving Quadratic Equations by Graphing
 Solving Quadratic Equations Using Square Roots
 Solving Quadratic Equations by Completing the Square
 Solving Quadratic Equations Using the Quadratic Formula
 Solving Systems of Linear and Quadratic Equations
Chapter 10: Square Root Functions and Geometry
 Graphing Square Root Functions
 Solving Square Root Equations
 The Pythagorean Theorem
 Using the Pythagorean Theorem
Chapter 11: Rational Equations and Functions
 Direct and Inverse Variation
 Graphing Rational Functions
 Simplifying Rational Expressions
 Multiplying and Dividing Rational Expressions
 Dividing Polynomials
 Adding and Subtracting Rational Expressions
 Solving Rational Equations
Chapter 12: Data Analysis and Displays
 Measures of Central Tendency
 Measures of Dispersion
 Box-and-Whisker Plots
 Shapes of Distributions
 Scatter Plots and Lines of Fit
 Analyzing Lines of Fit
 Two-Way Tables
 Choosing a Data Display