# Crocodiles and Coconuts

# 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**s****olve**simultaneous equations and graph simultaneous inequalities

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## Equations in Two Variables

**Chapter 0: The Crow & The Pitcher **

A Fable Used as the Basis for an Experiment about Algebra

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

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

**Chapter 2: Functions**

- The Parts of a Functions
- Slope-Intercept Form
- Tables, Equations, & Graphs
- Two-Variable Inequalities
- Functions as Stories
- Formulas
- Interpolating and Extrapolating

**Chapter 3: Simultaneous Equations **

- Solving by Graphing
- Solving by Elimination
- Solving by Substitution
- Shared Solutions
- Mixture Problems
- Simultaneous Equations

**Chapter 4: The Conic Sections **

- Fractional Equations
- Two-Intercept Form
- Fractional Equations with Exponents
- Parabolas
- Hyperbolas

**Chapter 5: Epilogue **

- The Big Picture