1.The Language and Tools of Algebra

1.1.Variables and Expressions

Using Algebraic Equations
Using Algebraic Expressions

1.2.Order of Operations

Order of Operations

1.4.Identity and Equality Properties

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

1.7.Logical Reasoning and Counterexamples

Biconditional Statement
Conditional Statement

1.9.Functions and Graphs

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Functions Involving Square Roots
Introduction to Functions
Polynomials and Linear Factors
Unit Circle
Using Tables, Rules and Graphs

2.Solving Linear Equations

2.1.Writing Equations

Using Algebraic Equations

2.2.Solving Equations by Using Addition and Subtraction

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

2.3.Solving Equations by Using Multiplication and Division

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

2.4.Solving Multi-Step Equations

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

2.5.Solving Equations with the Variable on Each Side

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

2.6.Ratios and Proportions

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Polling: Neighborhood

2.7.Percent of Change

Percent of Change

2.8.Solving for a Specific Variable

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

2.9.Weighted Averages

Describing Data Using Statistics
Mean, Median and Mode

3.Functions and Patterns

3.2.Representing Functions

Introduction to Functions
Using Tables, Rules and Graphs

3.3.Linear Functions

Linear Functions

3.4.Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

3.5.Proportional and Nonproportional Relationships

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Proportions and Common Multipliers

4.Analyzing Linear Equations

4.1.Rate of Change and Slope

Slope - Activity B

4.2.Slope and Direct Variation

Determining a Spring Constant
Slope - Activity B

4.3.Graphing Equations in Slope-Intercept Form

Using Tables, Rules and Graphs

4.4.Writing Equations in Slope-Intercept Form

Using Tables, Rules and Graphs

4.6.Scatter Plots and Lines of Fit

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

4.7.Parallel and Perpendicular Lines

Construct Parallel and Perpendicular Lines

5.Solving Systems of Linear Equations

5.1.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

5.3.Elimination Using Addition and Subtraction

Special Types of Solutions to Linear Systems

5.4.Elimination Using Multiplication

Special Types of Solutions to Linear Systems

5.5.Applying Systems of Equations

Modeling Linear Systems - Activity A

6.Solving Linear Inequalities

6.1.Solving Inequalities by Addition and Subtraction

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

6.2.Solving Inequalities by Multiplication and Division

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

6.4.Solving Compound Inequalities

Compound Inequalities
Inequalities Involving Absolute Values

6.5.Solving Open Sentences Involving Absolute Value

Inequalities Involving Absolute Values

6.6.Graphing Inequalities in Two Variables

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

6.7.Graphing Systems of Inequalities

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

7.Polynomials

7.1.Multiplying Monomials

Exponents and Power Rules
Multiplying Exponential Expressions

7.2.Dividing Monomials

Dividing Exponential Expressions

7.4.Adding and Subtracting Polynomials

Addition of Polynomials - Activity A

7.5.Multiplying a Polynomial by a Monomial

Multiplying Exponential Expressions

7.6.Multiplying Polynomials

Polynomials and Linear Factors

7.7.Special Product

Factoring Special Products

8.Factoring

8.1.Monomials and Factoring

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

8.2.Factoring Using the Distributive Property

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

8.3.Factoring Trinomials: x^2 + bx + c

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

8.4.Factoring Trinomials: ax^2 + bx + c

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

8.5.Factoring Differences of Squares

Factoring Special Products

8.6.Perfect Squares and Factoring

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

9.Quadratic and Exponential Functions

9.1.Graphing Quadratic Functions

Parabolas - Activity A
Roots of a Quadratic

9.2.Solving Quadratic Equations by Graphing

Roots of a Quadratic

9.4.Solving Quadratic Equations by Using the Quadratic Formula

Roots of a Quadratic

9.6.Growth and Decay

Half-life

10.Radical Expressions and Triangles

10.1.Simplifying Radical Expressions

Operations with Radical Expressions
Simplifying Radicals - Activity A

10.2.Operations with Radical Expressions

Operations with Radical Expressions
Simplifying Radicals - Activity A

10.4.The Pythagorean Theorem

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

10.5.The Distance Formula

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

10.6.Similar Triangles

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

11.Rational Expressions and Equations

11.5.Dividing Polynomials

Dividing Polynomials Using Synthetic Division

12.Data Analysis

12.1.Counting Outcomes

Permutations

12.2.Permutations and Combinations

Binomial Probabilities
Permutations
Permutations and Combinations

12.3.Probability of Compound Events

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

12.4.Probability Distributions

Binomial Probabilities

12.5.Probability Simulations

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