# Jousting Armadillos

# Jousting Armadillos

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## An Introduction to Algebra

### Pre-Algebra / 6th Grade

*Jousting Armadillos* introduces students to basic algebraic concepts, notation, and operations. Students learn to:

**engage**in various forms of inductive and deductive reasoning**reflect**on the nature of variables**speak**the language of algebra**perform**the basic operations with negative numbers**manipulate**the algebraic functions**solve**singe-variable problems and resolve inequalities

Edition:

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## Student Text and Workbook: Chapters & Contents

**Chapter 1: Reasoning**

- How Do We Know Things?
- Some Problems
- Inductive Reasoning & Its Limitations
- Some Puzzles & A Game
- Deductive Reasoning
- Does Deductive Reasoning Have Limitations?
- A Few Brief Thoughts Before We Move On

**Chapter 2: Writing Algebra **

- A Little History, or What's Algebra All About?
- Adding & Subtracting
- Multiplying
- Dividing
- Exponents
- One & Zero
- The Order of Operations
- The Distributive Property

**Chapter 3: Negative Numbers **

- What's a Negative Number?
- Adding with Negatives
- Subtracting with Negatives
- Multiplying & Dividing with Negatives
- Absolute Value, or Tying it All Together

**Chapter 4: Algebra & Fractions **

- Breaking Numbers Down, or Prime Factorization
- Greatest Common Factor
- Least Common Multiple
- Simplifying Algebraic Fractions
- Ratios
- Multiplying and Dividing Algebraic Fractions
- Adding and Subtracting Algebraic Fractions

**Chapter 5: Equations and Inequalities **

- Expressions & Equations
- Telling the Truth
- Equations as Pan Balances
- Solving Proportions
- Percent Problems as Proportions
- Representing Inequalities
- Solving Single-Variable Inequalities

**Chapter 6: Advanced Equations **

- Multi-Step Equations
- More Multi-Step Equations
- Problem-Solving Equations
- Distance, Rate, & Time Problems