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
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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