1: Foundations for Algebra

1.1: Variables and Expressions

Using Algebraic Equations
Using Algebraic Expressions

1.2: Adding and Subtracting Real Numbers

Adding Real Numbers

1.5: Square Roots and Real Numbers

Square Roots

1.6: Order of Operations

Order of Operations

1.8: Introduction to Functions

Introduction to Functions
Linear Functions
Using Tables, Rules and Graphs

2: Equations

2.1: Solving Equation by Adding or Subtracting

Modeling One-Step Equations - Activity A

2.2: Solving Equations by Multiplying or Dividing

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

2.3: Solving Two-Step and Multi-Step Equations

Solving Two-Step Equations

2.4: Solving Equations with Variables on Both Sides

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

2.5: Solving for a Variable

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

2.7: Applications of Proportions

Estimating Population Size
Polling: Neighborhood
Similar Figures - Activity A
Similar Polygons

2.8: Percents

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents and Proportions

2.9: Applications of Percents

Percent of Change

3: Inequalities

3.1: Graphing and Writing Inequalities

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A

3.2: Solving Inequalities by Adding or Subtracting

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

3.3: Solving Inequalities by Multiplying or Dividing

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

3.5: Solving Inequalities with Variables on Both Sides

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

3.6: Solving Compound inequalities

Compound Inequalities
Inequalities Involving Absolute Values

4: Functions

4.2: Relations and Functions

Introduction to Functions
Linear Functions

4.3: Writing Functions

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

4.4: Graphing Functions

Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Point-Slope Form of a Line - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

4.5: Scatter Plots and Trend Lines

Correlation
Scatter Plots - Activity A
Solving Using Trend Lines

4.6: Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

5: Linear Functions

5.1: Identifying Linear Functions

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

5.2: Using Intercepts

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

5.3: Rate of Change and Slope

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

5.4: The Slope Formula

Slope - Activity B

5.5: Direct Variation

Determining a Spring Constant
Direct Variation
Direct and Inverse Variation

5.7: Point-Slope Form

Point-Slope Form of a Line - Activity A

5.8: Slopes of Parallel and Perpendicular Lines

Construct Parallel and Perpendicular Lines
Slope - Activity B

5.9: Transforming Linear Functions

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

6: Systems of Equations and Inequalities

6.1: Solving 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

6.3: Solving Systems by Elimination

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

6.4: Solving Special Systems

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

6.5: Solving Linear Inequalities

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

6.6: Solving Systems of Linear Inequalities

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

7: Exponents and Polynomials

7.1: Integer Exponents

Dividing Exponential Expressions

7.3: Multiplication Properties of Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

7.4: Division Properties of Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

7.5: Polynomials

Polynomials and Linear Factors

7.6: Adding and Subtracting Polynomials

Addition and Subtraction of Polynomials
Addition of Polynomials - Activity A

7.7: Multiplying Polynomials

Polynomials and Linear Factors

7.8: Special Products of Binomials

Factoring Special Products

8: Factoring Polynomials

8.1: Factors and Greatest Common Factors

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

8.2: Factoring by GCF

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

8.3: Factoring x2 + bx +c

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

8.4: Factoring ax2 + bx + c

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

8.5: Factoring Special Products

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

9: Quadratic Functions and Equations

9.1: Identifying Quadratic Functions

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

9.2: Characteristics of Quadratic Functions

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

9.3: Graphing Quadratic Functions

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

9.4: Transforming Quadratic Functions

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

9.5: Solving Quadratic Equations by Graphing

Quadratics in Factored Form
Roots of a Quadratic

9.6: Solving Quadratic Equations by Factoring

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

9.7: Solving Quadratic Equations by Using Square Roots

Roots of a Quadratic
Simplifying Radicals - Activity A
Square Roots

9.9: The Quadratic Formula and the Discriminant

Roots of a Quadratic

10: Data Analysis and Probability

10.1: Organizing and Displaying Data

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots

10.2: Frequency and Histograms

Histograms
Populations and Samples

10.5: Experimental Probability

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

10.6: Theoretic Probability

Binomial Probabilities
Geometric Probability - Activity A
Probability Simulations
Theoretical and Experimental Probability

10.7: Independent and Dependent Events

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

10.8: Combinations and Permutations

Binomial Probabilities
Permutations
Permutations and Combinations

11: Exponential and Radical Functions

11.1: Geometric Sequences

Arithmetic and Geometric Sequences
Geometric Sequences

11.2: Exponential Functions

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

11.3: Exponential Growth and Decay

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

11.4: Linear, Quadratic, and Exponential Models

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

11.5: Square-Root Functions

Introduction to Functions
Linear Functions

11.6: Radical Expressions

Simplifying Radicals - Activity A

11.7: Adding and Subtracting Radical expressions

Operations with Radical Expressions
Simplifying Radicals - Activity A

11.8: Multiplying and Dividing Radical Expressions

Simplifying Radicals - Activity A

11.9: Solving Radical Equation

Simplifying Radicals - Activity A

12: Rational Functions and Equations

12.1: Inverse Variation

Direct and Inverse Variation

12.2: Rational Functions and Equations

Introduction to Functions
Linear Functions
Using Algebraic Equations

12.3: Simplifying Rational Expressions

Dividing Exponential Expressions
Geometric Probability - Activity A

12.4: Multiplying and Dividing Rational Expressions

Dividing Exponential Expressions

12.6: Dividing Polynomials

Dividing Polynomials Using Synthetic Division