1: Functions Equations and Inequalities

1.1: Functions

Introduction to Functions
Linear Functions

1.2: Addition and Subtraction Equations

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

1.3: Multiplication and Division Equations

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

1.4: Two-Step Equations

Solving Two-Step Equations

1.5: Multistep Equations

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

1.6: Solving Inequalities

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

1.7: Absolute-Value Equations and Inequalities

Compound Inequalities
Inequalities Involving Absolute Values

2: Linear Functions and Systems

2.1: Slope

Slope - Activity B

2.2: Linear Functions and graphs

Introduction to Functions
Linear Functions
Using Tables, Rules and Graphs

2.3: Graphing Systems of equations

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

2.7: Graphing Linear Inequalities

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: Matrices

3.5: Solving Matrix Equations

Modeling Linear Systems - Activity A
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Roots of a Quadratic
Solving Linear Systems by Graphing
Solving Two-Step Equations

4: Probability and Statistics

4.1: Experimental Probability

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

4.2: Simulations

Probability Simulations
Theoretical and Experimental Probability

4.3: Statistics and Probability

Permutations
Permutations and Combinations

4.5: Multiplication Principle of Counting

Permutations
Permutations and Combinations

4.6: Theoretical Probability

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

4.7: Independent Events

Compound Independent Events
Compound Independent and Dependent Events
Estimating Population Size
Geometric Probability - Activity A
Independent and Dependent Events

5: Transformations

5.1: Functions and Relations

Introduction to Functions
Linear Functions
Solving Equations By Graphing Each Side

5.2: Transformations

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

5.4: Reflections

Reflections
Rotations, Reflections and Translations

5.5: Translations

Rotations, Reflections and Translations
Translations

5.6: Combining Transformations

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

6: Exponents

6.1: Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

6.2: Multiplying and Dividing Monomials

Dividing Exponential Expressions
Multiplying Exponential Expressions
Simplifying Radicals - Activity A

6.3: Negative and Zero Exponents

Dividing Exponential Expressions

6.5: Exponential Functions

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

6.6: Applications of Exponential Functions

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

7: Polynomials and Factoring

7.1: Polynomial Functions

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

7.2: Adding and Subtracting Polynomials

Addition and Subtraction of Polynomials
Addition of Polynomials - Activity A

7.4: Multiplication of Binomials

Multiplying Exponential Expressions

7.5: Common Factors

Factoring Special Products

7.6: Factoring Special Polynomials

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

7.7: Factoring Trinomials

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

8: Quadratic Functions

8.1: Parabolas

Parabolas - Activity A

8.4: Solving Equations of the Form x2 + bx + c = 0

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Polynomials and Linear Factors
Quadratics in Factored Form

8.5: The Quadratic Formula

Roots of a Quadratic

8.6: Graphing Quadratic Inequalities

Quadratic Inequalities - Activity A

9: Radicals and Coordinate Geometry

9.1: Square-Root Functions

Functions Involving Square Roots
Radical Functions

9.2: Operations with Radicals

Operations with Radical Expressions
Simplifying Radicals - Activity A

9.3: Solving Radical equations

Simplifying Radicals - Activity A

9.4: The Pythagorean Right-Triangle Theorem

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

9.5: The Distance Formula

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

9.6: Geometric Properties

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

9.7: Tangent Function

Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Tangent Ratio
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle

9.8: Sine and Cosine Function

Cosine Function
Sine Function
Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Function
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle

10: Rational Functions

10.1: Rational expressions

General Form of a Rational Function
Rational Functions

10.2: Inverse Variation

Direct and Inverse Variation

10.3: Simplifying Rational Expressions

Dividing Exponential Expressions
Geometric Probability - Activity A

10.4: Operations with Rational expressions

General Form of a Rational Function
Rational Functions

10.6: Proportions

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Perimeters and Areas of Similar Figures
Polling: Neighborhood
Similar Figures - Activity A
Similar Polygons

10.7: Proof in Algebra

Biconditional Statement
Conditional Statement