Jousting Armadillos

9780982136317_cov_web.jpg
9780982136317_cov_web.jpg

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