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Chapter 1: Problem Solving
Opening 
1.OP 
Chapter Opening 
Section 1.1 
1.1.1 
Creating a Quilt Using Symmetry 

1.1.2 
Making Predictions and Investigating Results 

1.1.3 
Perimeter and Area of Enlarging Tile Patterns 

1.1.4 
Logical Arguments 

1.1.5 
Building a Kaleidoscope 
Section 1.2 
1.2.1 
Spatial Visualization and Reflections 

1.2.2 
Rigid Transformations: Rotations and Translations 

1.2.3 
Using Transformations 

1.2.4 
Using Transformations to Create Shapes 

1.2.5 
Symmetry 
Section 1.3 
1.3.1 
Attributes and Characteristics of Shapes 

1.3.2 
More Characteristics of Shapes 

1.3.3 
Introduction to Probability 
Closure 
1.CL 
Chapter Closure 
Chapter 2: Variables and Proportions
Opening 
2.OP 
Chapter Opening 
Section 2.1 
2.1.1 
Exploring Variables and Combining Like Terms 

2.1.2 
Simplifying Expressions by Combining Like Terms 

2.1.3 
Writing Algebraic Expressions 

2.1.4 
Using Zero to Simplify Algebraic Expressions 

2.1.5 
Using Algebra Tiles to Simplify Algebraic Expressions 

2.1.6 
Using Algebra Tiles to Compare Expressions 

2.1.7 
Simplifying and Recording Work 

2.1.8 
Using Algebra Tiles to Solve for x 

2.1.9 
More Solving Equations 
Section 2.2 
2.2.1 
Solving Problems with Proportional Intuition 

2.2.2 
Sharing ProportionOrganizing Strategies 

2.2.3 
Using Proportional Relationships 
Closure 
2.CL 
Chapter Closure 
Chapter 3: Graphs and Equations
Opening 
3.OP 
Chapter Opening 
Section 3.1 
3.1.1 
Extending Patterns and Finding Rules 

3.1.2 
Using Tables, Graphs, and Rules to Make Predictions 

3.1.3 
Using the Graphing Calculator and Identifying Solutions 

3.1.4 
Completing Tables and Drawing Graphs 

3.1.5 
Graphs, Tables, and Rules 

3.1.6 
Complete Graphs 

3.1.7 
Identifying Common Graphing Errors 
Section 3.2 
3.2.1 
Solving Equations and Testing the Solution 

3.2.2 
Determining the Number of Solutions 

3.2.3 
Strategies for Using the 5D Process 

3.2.4 
More Solving Equations to Solve Problems 
Closure 
3.CL 
Chapter Closure 
Chapter 4: Multiple Representations
Opening 
4.OP 
Chapter Opening 
Section 4.1 
4.1.1 
Finding Connections Between Representation 

4.1.2 
Seeing Growth in Different Representations 

4.1.3 
Connecting Linear Rules and Graphs 

4.1.4 
y = mx + b 

4.1.5 
Checking the Connections 

4.1.6 
Graphing Without an x → y Table 

4.1.7 
Completing the Web 
Section 4.2 
4.2.1 
Introduction to Systems of Equations 

4.2.2 
Writing Rules from Word Problems 

4.2.3 
Solving Systems Algebraically 

4.2.4 
Extending the Web to other Linear Situations 
Closure 
4.CL 
Chapter Closure 
Chapter 5: Multiplication and Proportions
Opening 
5.OP 
Chapter Opening 
Section 5.1 
5.1.1 
Exploring an Area Model 

5.1.2 
Multiplying Binomials and the Distributive Property 

5.1.3 
Using Generic Rectangles to Multiply 

5.1.4 
Solving Equations With Multiplication 

5.1.5 
Working with MultiVariable Equations 

5.1.6 
Solving Equations Without Manipulatives 
Section 5.2 
5.2.1 
Setting Up and Solving Proportions 

5.2.2 
Practice with Proportions 

5.2.3 
Applying Proportions 
Closure 
5.CL 
Chapter Closure 
Chapter 6: Systems of Equations
Opening 
6.OP 
Chapter Opening 
Section 6.1 
6.1.1 
Mathematical Sentences 

6.1.2 
Solving Word Problems by Writing Equations 

6.1.3 
Solving Problems by Writing Equations 
Section 6.2 
6.2.1 
Solving Systems of Equations Using Substitution 

6.2.2 
Making Connections: Systems, Solutions and Graphs 

6.2.3 
Solving Systems of Equations Using Elimination 

6.2.4 
More Elimination 

6.2.5 
Choosing A Strategy for Solving Systems 
Section 6.3 
6.3.1 
Section 6.3 Pulling it All Together 
Closure 
6.CL 
Chapter Closure 
Chapter 7: Linear Relationships
Opening 
7.OP 
Chapter Opening 
Section 7.1 
7.1.1 
y = mx + b 

7.1.2 
Using Equations to Make Predictions 

7.1.3 
Measuring Steepness: An Introduction to Slope 

7.1.4 
Comparing Δy and Δx 

7.1.5 
More on Slope 
Section 7.2 
7.2.1 
Equation of a Line in Context 

7.2.2 
Slope as a Measurement of Rate 

7.2.3 
Rates of Change 
Section 7.3 
7.3.1 
Finding an Equation Given a Slope and a Point 

7.3.2 
Slopes of Parallel and Perpendicular Lines 

7.3.3 
Finding the Equation of a Line Through Two Points 

7.3.4 
Applying y = mx + b to find Equations from Graphs 
Closure 
7.CL 
Chapter Closure 
Chapter 8: Quadratics
Opening 
8.OP 
Chapter Opening 
Section 8.1 
8.1.1 
Introduction to Factoring Quadratics 

8.1.2 
Factoring with Generic Rectangles 

8.1.3 
Factoring with Special Cases 

8.1.4 
Factoring Completely 
Section 8.2 
8.2.1 
Investigating a Parabola 

8.2.2 
Multiple Representations for Quadratics 

8.2.3 
Zero Product Property 

8.2.4 
Solving Quadratic Equations by Factoring 

8.2.5 
Completing the Quadratic Web 
Section 8.3 
8.3.1 
Introduction to the Quadratic Formula 

8.3.2 
More Solving Quadratic Equations 

8.3.3 
Choosing A Strategy 
Closure 
8.CL 
Chapter Closure 
Chapter 9: Inequalities
Opening 
9.OP 
Chapter Opening 
Section 9.1 
9.1.1 
Solving Linear, OneVariable Inequalities 

9.1.2 
More Solving Inequalities 
Section 9.2 
9.2.1 
Graphing TwoVariable Inequalities 

9.2.2 
Graphing Linear and Nonlinear Inequalities 

9.2.3 
Introduction to Absolute Value 
Section 9.3 
9.3.1 
Systems of Inequalities 

9.3.2 
More Systems of Inequalities 

9.3.3 
Applying Inequalities to Solve Problems 
Closure 
9.CL 
Chapter Closure 
Chapter 10: Simplifying and Solving
Opening 
10.OP 
Chapter Opening 
Section 10.1 
10.1.1 
Simplifying Expressions 

10.1.2 
Multiplying and Dividing Rational Expressions 

10.1.3 
Solving by Rewriting 

10.1.4 
Fraction Busters 
Section 10.2 
10.2.1 
Multiple Methods for Solving Equations 

10.2.2 
Determining the Number of Solutions 

10.2.3 
More Solving and an Application 

10.2.4 
Solving Inequalities with Absolute Value 

10.2.5 
Solving Absolute Value and Quadratic Inequalities 
Section 10.3 
10.3.1 
Completing the Square 

10.3.2 
More Completing the Square 
Section 10.4 
10.4.1 
Simplifying Exponential Expressions 

10.4.2 
Zero and Negative Exponents 

10.4.3 
Fractional Exponents and Scientific Notation 
Closure 
10.CL 
Chapter Closure 
Chapter 11: Functions and Relations
Opening 
11.OP 
Chapter Opening 
Section 11.1 
11.1.1 
Describing a Graph 

11.1.2 
Relation Machines 

11.1.3 
Functions 

11.1.4 
Domain and Range 

11.1.5 
Investigating a New Relation 

11.1.6 
Transformation of a Function 
Section 11.2 
11.2.1 
Intercepts and Intersections 

11.2.2 
Pulling It All Together 
Section 11.3 
11.3.1 
Relation Treasure Hunt 
Closure 
11.CL 
Chapter Closure 
Chapter 12: Algebraic Extensions
Opening 
12.OP 
Chapter Opening 
Section 12.1 
12.1.1 
Factoring Shortcuts 

12.1.2 
Adding and Subtracting Rational Expressions 

12.1.3 
More Adding and Subtracting Rational Expressions 
Section 12.2 
12.2.1 
Solving Work Problems 

12.2.2 
Solving Percent Mixture Problems 
Section 12.3 
12.3.1 
Deriving the Quadratic Formula 
Section 12.4 
12.4.1 
Using Data and Trend Lines to Make Predictions 

12.4.2 
Analyzing Nonlinear Tile Patterns 

12.4.3 
Investigating a Complex Function 

12.4.4 
Using Algebra to Find a Maximum 
Closure 
12.CL 
Chapter Closure 
Additional Topics

AT 1.1 
Investigating the Growth of Patterns 

AT 1.2 
Algebraic Properties 

AT 1.3 
Modeling Data 

AT 1.4 
Polynomial Division 
Glossary
Index