# 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
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## Student Text and Workbook:  Chapters & Contents

How Do We Know Things?

Some Problems

Chapter 1: Reasoning

1. How Do We Know Things?
2. Some Problems
3. Inductive Reasoning & Its Limitations
4. Some Puzzles & A Game
5. Deductive Reasoning
6. Does Deductive Reasoning Have Limitations?
7. A Few Brief Thoughts Before We Move On

Chapter 2: Writing Algebra

1. A Little History, or What's Algebra All About?
2. Adding & Subtracting
3. Multiplying
4. Dividing
5. Exponents
6. One  & Zero
7. The Order of Operations
8. The Distributive Property

Chapter 3: Negative Numbers

Inductive Reasoning & Its Limitations

1. What's a Negative Number?
2. Adding with Negatives
3. Subtracting with Negatives
4. Multiplying & Dividing with Negatives
5. Absolute Value, or Tying it All Together

Chapter 4: Algebra & Fractions

1. Breaking Numbers Down, or Prime Factorization
2. Greatest Common Factor
3. Least Common Multiple
4. Simplifying Algebraic Fractions
5. Ratios
6. Multiplying and Dividing Algebraic Fractions
7. Adding and Subtracting Algebraic Fractions

Chapter 5: Equations and Inequalities

1. Expressions & Equations
2. Telling the Truth
3. Equations as Pan Balances
4. Solving Proportions
5. Percent Problems as Proportions
6. Representing Inequalities
7. Solving Single-Variable Inequalities

Chapter 6: Advanced Equations

1. Multi-Step Equations
2. More Multi-Step Equations
3. Problem-Solving Equations
4. Distance, Rate, & Time Problems