Professor B Power Algebra
Activating the Contextual Learner



Power Algebra Level 1
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Overview
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Table of Contents
Power Algebra Book I

  1. Introducing Integers, Adding Integers and Three Methods for Subtracting Integers
  2. Simplifying Expressions Involving Sums and Differences of Integers and Combining Like Terms
  3. Multiplying and Dividing with Integers
  4. Multiplying and Dividing with Powers
  5. The Positive, Negative and Zero Exponents
  6. Multiplication/Division with Monomials and Expressions Involving Negative and Zero Exponents
  7. Evaluation of Algebraic Expressions and Order of Operations
  8. Adding and Subtracting with Polynomials
  9. Multiplying with Polynomials and Factoring by Removing the Highest Common Factor
  10. Multiplying with Polynomials and Factoring Trinomials of the Form ax² + bx + c and ax² + bxy + cy²
  11. Multiplying with Polynomials and Factoring the Difference of Two Squares
  12. Multiplying with Polynomials and Factoring the Sum and Difference of Two Cubes
  13. Multiplying with Polynomials and Factoring by Grouping
  14. Multiplying with Polynomials and More Advanced Factoring
  15. Multiplying with Polynomials and Factoring Completely
  16. Dividing with Polynomials and Synthetic Division
  17. Binomial Expansion
  18. Distinguishing Between Sums and Products – The Real Numbers – Reducing Rational Expressions to Lowest Terms
  19. Multiplying and Dividing with Rational Expressions

Power Algebra Level II
Sample Lesson (pdf file, opens in new window)
Overview
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Table of Contents
Power Algebra Book II

  1. Addition and Subtraction with Rational Expressions
  2. Solving Equations and Inequalities – Part I
  3. Solving Equations and Inequalities – Part II
  4. Solving Number and Consecutive Number Problems
  5. Understanding Ratio and Solving Ratio Problems
  6. Solving Motion Problems
  7. Solving Coin Problems
  8. Solving Age Problems
  9. Solving Digit Problems
  10. Solving Mixture Problems
  11. Solving Investment Problems
  12. Solving Perimeter, Area and Volume Problems
  13. Solving Work Problems
  14. Solving Inequality Problems


Power Algebra Level III
• Sample Lesson - coming soon
Overview
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Level III


Table of Contents
Power Algebra Book III

  1. Linking Exponenets, Radicals, Logarithms; Solving Exponential and Logarithmic Equations
  2. Complex Numbers
  3. Solving Quadratic Equations and Inequalities
  4. Solving More Equations and Inequalities Involving: Rational Expressions, Exponential and Radical Expressions, and Absolute Value Expressions
  5. Linear Equations in Two Variables
  6. Solving Systems of Simultaneous Linear Equations Graphically
  7. Solving Systems of Simultaneous Linear Equations Algebraically
  8. Similarity and Proportionality
  9. Variation
  10. More Problem Solving