(Each chapter concludes with a Summary and Review.)
1. Openings (OP): Data Organization.
Building Corrals: Working Collaboratively.
The Five-Digit Problem: Order of Operations.
Tiling with Squares: Area and Perimeter.
Using Guess-and-Check Tables to Solve Problems.
Predicting Shoe Size: Making a Graph from Data.
The National Debt and Teraflops: Large Numbers and Scientific Notation.
Driving to Redwood City: Data from a Graph.
2. Professor Speedi's Commute(SP): Patterns and Graphs.
The Algebra Walk: Coordinate Graphing.
Polygon Perimeter Pattern.
Getting to Work on Time: Situations and Graphs.
Hawaiian Punch Mix.
Slicing a Pizza.
The Egg Toss: A Quadratic Graph.
Folding Bills: More Nonlinear Graphs.
The Burning Candle Investigation (Optional).
3. Lions, Tigers, and Emus (LT): Writing and Solving Equations.
Writing Equations from Guess-and-Check Tables.
Composite Rectangles and Algebraic Expressions for Area.
Solving Linear Equations at the Candy Factory.
Doing and Undoing. Solving Head Problems Puzzles.
Solving Literal Equations.
Modeling Situations with Linear Equations.
4. Estimating Fish Populations (EF): Numeric, Geometric, and Algebraic Ratios.
Enlarging and Reducing Geometric Figures.
More Enlarging, Reducing, and Ratios.
Area and Subproblems: Geometric Factoring.
Similar Triangles: More Geometric Ratios.
More Similarity: Right Triangles and Missing Sides.
Fruit Punch: Using Equivalent Ratios to Graph.
Estimating Fish Populations: A Simulation.
5. Managing Water Resources (WR): Graphs, Slope Ratios, and Linear Equations.
Ratios and the Slope of a Line.
Graphing Linear Equations using Two Points and a Slide.
Slopes of Parallel Lines and the Slope-Intercept Pattern in y = mx + b.
Using Graphs to Investigate Linear Relationships.
Practice with y = mx + b.
Using Graphs to Write Equations of Lines.
6. Fitness Finances (FF): Solving Systems of Equations.
Olympic Records: Writing an Equation of a Line Given Two Points.
Using Graphs or Algebra to Solve Systems of Linear Equations.
Solving Systems of Linear Equations by the Substitution Method.
Using Graphs to Solve Systems of Nonlinear Equations.
Solving Quadratic Equations: Graphing and the Zero Product Property.
Solving Systems of Equations by the Addition Method.
Investigation: Using Algebra to Model and Analyze Linear Data (Optional).
7. The Buckled Railroad Track (RT): From Words to Diagrams to Equations.
Right Triangles and the Pythagorean Relationship.
Picturing Square Root Lengths.
Models, Diagrams, and Right Triangles.
Distances, Times, and Rates: More Diagrams and Equations.
Calculating with Square Roots.
8. The Grazing Goat (GG): Dealing with Complicated Situations.
Solving Quadratic Equations Revisited: The Quadratic Formula.
Complicated Fractions: Using Subproblems to Calculate Average Speed.
The Election Poster: Using the Quadratic Formula.
Using Subproblems in Complicated Situations.
Quiz Scores: Data Points and Lines of Best Fit.
The Cookie Cutter and the Lunch Bunch: Two Investigations (Optional).
Appendix A: Debits and Credits: An Introduction to Algebra Tiles.
Appendix B: Using Subproblems to Derive the Quadratic Formula.
Appendix C: Exploring Quadratic Equations and Their Graphs.
