1: Equations and Inequalities

1.3: Solve Linear equations

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

1.4: Rewrite Formulas and Equations

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Formulas for any Variable
Solving Two-Step Equations

1.6: Solve Linear inequalities

Linear Inequalities in Two Variables - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

1.7: Solve Absolute Value Equations and Inequalities

Inequalities Involving Absolute Values
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

2: Linear Equations and Functions

2.1: Represent Relations and Functions

Introduction to Functions
Linear Functions
Using Algebraic Equations
Using Tables, Rules and Graphs

2.2: Find Slope and Rate of Change

Direct Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Modeling Linear Systems - Activity A
Slope - Activity B

2.3: Graph Equations of Lines

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Standard Form of a Line

2.4: Write Equations of Lines

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Standard Form of a Line

2.5: Model Direct Variation

Determining a Spring Constant
Direct Variation
Direct and Inverse Variation

2.6: Draw Scatter plots and Best-Fitting Lines

Correlation
Lines of Best Fit Using Least Squares - Activity A
Solving Using Trend Lines

2.7: Use Absolute Value Functions and Transformations

Translating and Scaling Functions

2.8: Graph Linear Inequalities in Two Variables

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Systems of Linear Inequalities (Slope-intercept form) - Activity A

3: Linear Systems and Matrices

3.1: Solve Linear Systems by Graphing

Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A

3.2: Solve Linear Systems Algebraically

Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A

3.3: Graph Systems of Linear Inequalities

Linear Programming - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A

4: Quadratic Functions and Factoring

4.1: Graph Quadratic Functions in Standard Form

Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

4.2: Graph Quadratic Functions in Vertex or Intercept Form

Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

4.3: Solve x2 + bx + c = 0 by Factoring

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.4: Solve ax2 + bx + c = 0 by Factoring

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.5: Solve Quadratic Equations by Finding Square Roots

Roots of a Quadratic

4.8: Use Quadratic Formula and the Discriminant

Roots of a Quadratic

4.9: Graph and Solve Quadratic Inequalities

Quadratic Inequalities - Activity A

5: Polynomials and Polynomial Functions

5.1: Use Properties of Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

5.2: Evaluate and graph Polynomial Functions

Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Polynomials and Linear Factors
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A

5.4: Factor and Solve Polynomial Equations

Dividing Polynomials Using Synthetic Division
Factoring Special Products
Modeling the Factorization of x²+bx+c

5.5: Apply the Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

5.6: Find Rational Zeros

Polynomials and Linear Factors

5.8: Analyze Graphs of polynomial Functions

Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Polynomials and Linear Factors

5.9: Write polynomial Functions and Models

Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A

6: Rational Exponents and Radical Functions

6.3: Perform Function Operations and Composition

Addition and Subtraction of Polynomials

6.4: Use Inverse Functions

Logarithmic Functions - Activity A

6.5: Graph Square Root and Cube Root Functions

Functions Involving Square Roots
Radical Functions

7: Exponential and Logarithmic Functions

7.1: Graph Exponential Growth Functions

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
Simple and Compound Interest

7.2: Graph Exponential Decay Functions

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
Simple and Compound Interest

7.3: Use Functions Involving e

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B

7.4: Evaluate Logarithms and Graph Logarithmic Functions

Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

7.7: Write and Apply Exponential and Power Functions

Exponential Functions - Activity A

8: Rational Functions

8.1: model Inverse and Joint Variation

Direct and Inverse Variation

8.2: Graph Simple rational Functions

General Form of a Rational Function
Rational Functions

8.3: Graph General rational Functions

General Form of a Rational Function
Rational Functions

9: Quadratic Relations and Conic Sections

9.1: Apply the Distance and Midpoint Formulas

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

9.2: Graph and Write Equations of Parabolas

Parabolas - Activity A
Quadratics in Factored Form

9.3: Graph and Write Equations of Circles

Circles

9.4: Graph and Write Equations of ellipses

Ellipse - Activity A

9.5: Graph and Write Equations of Hyperbolas

Hyperbola - Activity A

9.6: Translate and Classify Conic Section

Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A

10: Counting Methods and Probability

10.1: Apply the Counting Principle and Permutations

Permutations
Permutations and Combinations

10.2: Use Combinations and the Binomial Theorem

Binomial Probabilities
Permutations and Combinations

10.3: Define and Use Probability

Binomial Probabilities
Geometric Probability - Activity A

10.5: find Probabilities of Independent and Dependent Events

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events

10.6: Construct and Interpret Binomial Distributions

Binomial Probabilities

11: Data Analysis and Statistics

11.1: Find Measures of Central Tendency and Dispersion

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

12: Sequences and Series

12.1: Define and Use Sequences and Series

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

12.2: Analyze Arithmetic Sequences and Series

Arithmetic Sequences
Arithmetic and Geometric Sequences

12.3: Analyze Geometric Sequences and Series

Arithmetic and Geometric Sequences
Geometric Sequences

12.5: Use Recursive Rules with Sequences and Functions

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

13: Trigonometric Ratios and Functions

13.3: Evaluate Trigonometric Functions of Any Angle

Cosine Function
Sine Function
Tangent Function
Unit Circle

14: Trigonometric Graphs

14.2: Translate and Reflect Trigonometric Graphs

Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle

14.3: Verify Trigonometric Identities

Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine

14.4: Solve Trigonometric Equations

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

14.5: Write Trigonometric Functions and Models

Cosine Function
Sine Function
Tangent Function
Unit Circle

14.6: Apply Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

14.7: Apply Double-Angle and half-Angle Formulas

Sum and Difference Identities for Sine and Cosine