Crocodiles and Coconuts

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Equations in Two Variables

Algebra 1 / 7th Grade

Crocodiles and Coconuts guides students through graphing, equations, and linear and non-linear functions.  Students learn to:

• graph lines, ellipses, circles, parabolas, and hyperbolas in the Cartesian coordinate plane
• manipulate functions, formulas, and equations
• understand that mathematical functions, formulas, and equations express real-world relationships
• solve simultaneous equations and graph simultaneous inequalities
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The Aged Crow: An Algebra Fable

Equations in Two Variables

Chapter 0: The Crow & The Pitcher

1. A Fable Used as the Basis for an Experiment about Algebra

Chapter 1: Two-Variable Equations and the Cartesian Coordinate Plane

Two-Variable Equations

1. What Does it Mean to Solve a Two-Variable Equation?
2. The Coordinate Plane
3. Lines in the Coordinate Plane
4. More about Slope

Chapter 2: Functions

1. The Parts of a Functions
2. Slope-Intercept Form
3. Tables, Equations, & Graphs
4. Two-Variable Inequalities
5. Functions as Stories
6. Formulas
7. Interpolating and Extrapolating

Functions as Stories

Chapter 3: Simultaneous Equations

1. Solving by Graphing
2. Solving by Elimination
3. Solving by Substitution
4. Shared Solutions
5. Mixture Problems
6. Simultaneous Equations

Chapter 4: The Conic Sections

1. Fractional Equations
2. Two-Intercept Form
3. Fractional Equations with Exponents
4. Parabolas
5. Hyperbolas

Chapter 5: Epilogue

1. The Big Picture