Making sense of elementary algebra : data, equations, and graphs /
Elaine A. Kasimatis, Cindy L. Erickson, CPM Educational Program.
- Preliminary edition.
- various pagings : illustrations ; 28 cm
"The mathematics course that follows is an adaptation of College Preparatory Mathematics: Change from Within, Math 1 (Algebra 1)"--Preface. Includes index.
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 -- 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) -- 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 -- 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 -- 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 -- 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) -- 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 -- 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) -- Debits and Credits: -- An Introduction to Algebra Tiles -- Using Subproblems to Derive the Quadratic Formula -- Exploring Quadratic Equations and Their Graphs. 1. 2. 3. 4. 5. 6. 7. 8. Appendix A. Appendix B. Appendix C.