1: Equations and Inequalities
1.1: Investigating patterns - Cross-Country Adventures
1.1.1: Numeric and Graphic Representations of Data
1.1.2: Writing Expressions
1.2: Solving Equations - What's My Number?
1.2.1: Writing and solving Equations
1.2.2: Equations with Variables on Both Sides
1.2.3: Solving More Complex Equations
1.2.5: Solving Literal Equations for a Variable
1.3: Solving Inequalities - Physical Fitness Zones
1.3.1: Inequalities and Their Solutions
1.3.2: Solving Inequalities
1.3.3: Compound Inequalities
1.4: Absolute Value Equations and Inequalities - Student Distances
1.4.1: Absolute Value Equations
1.4.2: Absolute Value Inequalities
2: Functions
2.5: Functions and Function Notation - Vending Machines
2.5.1: Relations and Functions
2.5.2: Domain and Range
2.6: Interpreting Graphs of Functions - Shake, Rattle and Roll
2.6.1: Key Features of Graphs
2.6.2: More Complex Graphs
2.6.3: Graphs of Real-World Situations
2.7: Graphs of Functions - Experiment Experiences
2.7.1: The Spring Experiment
2.7.2: The Falling Object Experiment
2.7.3: The Radioactive Decay Experiment
2.8: Transformations of Functions - Transformers
2.8.1: Exploring f(x)-k
2.8.2: Exploring f(x + k)
2.9: Rates of Change - Ramp It Up
2.9.1: Slope
2.9.2: Slope and Rate of Change
2.9.3: More About Slopes
2.10: Linear Models - Stacking Boxes
2.10.1: Direct Variation
2.10.2: Indirect Variation
2.10.3: Another Linear Model
2.10.4: Inverse Functions
2.11: Arithmetic Sequences - Picky Patterns
2.11.1: Identifying Arithmetic Sequences
2.11.2: A Formula for Arithmetic Sequences
2.11.3: Arithmetic Sequences as Functions
2.11.4: Recursive Formulas
2.12: Forms of Linear Functions - Under Pressure
2.12.1: Slope - Intercept Form
2.12.2: Point - Slope Form
2.12.3: Standard Form
2.12.4: Slopes of Parallel and Perpendicular Lines
2.13: Equations from data - Pass the Book
2.13.1: Scatter Plots and Trend Lines
2.13.2: Linear Regression
3: Extensions of Linear Concepts
3.14: Piecewise-Defined Linear Functions - Breakfast for Bowser
3.14.2: Writing Functions and Finding Domain and Range
3.15: Comparing Equations - A Tale of a Trucker
3.15.1: Writing Equations from Graphs and Tables
3.15.3: Writing Equations from Verbal Descriptions
3.16: Inequalities in Two Variables - Shared Storage
3.16.1: Writing and Graphing Inequalities in Two Variables
3.16.2: Graphing Inequalities in Two Variables
3.17: Solving Systems of Linear Equations - A Tale of Two Truckers
3.17.1: The Graphing Method
3.17.2: Using Tables and the Substitution Method
3.17.3: The Elimination Method
3.17.4: Systems Without a Unique Solution
3.17.5: Classifying Systems of Equations
3.18: Solving Systems of Linear Inequalities - Which Region is it?
3.18.2: Interpreting the Solution of a System of Inequalities
4: Exponents, Radicals, and Polynomials
4.19: Exponent Rules - Icebergs and Exponents
4.19.1: Basic Exponent Properties
4.19.2: Negative and Zero Powers
4.19.3: Additional Properties of Exponents
4.20: Operations with Radicals - Go Fly a Kite
4.20.1: Radical Expressions
4.20.2: Adding and Subtracting Radical Expressions
4.21: Geometric Sequences - Go Viral!
4.21.1: Identifying Geometric Sequences
4.21.2: Formulas for Geometric Sequences
4.22: Exponential Functions - Protecting Your Investment
4.22.1: Exponential Functions and Exponential Growth
4.22.2: Exponential decay
4.22.3: Graphs of Exponential Functions
4.23: Modeling with Exponential Functions - Growing, Growing, Gone
4.23.1: Compound Interest
4.23.2: Population Growth
4.24: Adding and Subtracting Polynomials - Polynomials in the Sun
4.24.2: Adding Polynomials
4.24.3: Subtracting Polynomials
4.25: Multiplying Polynomials - Tri-Com Computers
4.25.3: Multiplying Polynomials
4.26: Factoring - Factors of Construction
4.26.1: Factoring by Greatest Common Fact (GCF)
4.26.2: Factoring Special Products
4.27: Factoring Trinomials - Deconstruction Floor Plans
4.27.1: Factoring x² + bx + c
4.27.2: Factoring ax² + bx + c
4.28: Simplifying Rational Expressions - Totally Rational
4.28.2: Dividing Polynomials
5: Quadratic Functions
5.29: Introductions to Quadratic Functions - Touchlines
5.29.1: Modeling with Quadratic Functions
5.29.2: Graphing and Analyzing a Quadratic Function
5.30: Graphing Quadratic Functions - Transformers
5.30.1: Translations of the Quadratic Parent Function
5.30.2: Stretching and Shrinking the Quadratic Parent Function
5.30.3: Multiple Transformations of the Quadratic Parent Function
5.31: Solving Quadratic Equations by Graphing and Factoring - Trebuchet Trials
5.31.1: Solving by Graphing or Factoring
5.31.2: The Axis of Symmetry and the Vertex
5.31.3: Graphing a Quadratic Function
5.32: Algebraic Methods of Solving Quadratic Equations - Keeping it Quadratic
5.32.1: The Square Root method
5.32.2: Completing the Square
5.32.3: The Quadratic Formula
5.32.4: Choosing a Method and using the Discriminate
5.32.5: Complex Solutions
5.34: Modeling with Functions - Photo App
5.34.1: Constructing Models
5.34.2: Comparing Models
5.34.3: Extending Models
6: Probability and Statistics
6.36: Measures of Center and Spread - To Text, or Not to Text
6.36.1: Mean, Median, Mode and MAD
6.36.2: Another Measure of Variability
6.37: Dot and Box Plots and the Normal Distribution - Disturbing Coyotes
6.37.1: Dots Plots and Box Plots
6.37.2: Modified Box Plots
6.37.3: Normally Distributed
6.38: Correlation - What's the Relationship?
6.38.1: Scatter Plots
6.38.2: Correlation Coefficient
6.39: The Best-Fit Line - Regressing Linearly
6.39.1: Line of the Best fit
6.39.2: Residuals
6.39.3: Interpreting the Slope and Intercept of the Best-Fit Line
6.39.4: Plotting Residuals
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