Chuckles the Rocket Dog

Chuckles the Rocket Dog

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Polynomials & Quadratics

Algebra 1 & 2 / 8th Grade

Chuckles the Rocket Dog helps students to begin to master advanced topics in algebra. Students learn to:                                             

  • investigate advanced exponents, scientific notation, and exponential functions 
  • manipulate polynomials using the four basic operations 
  • factor polynomials 
  • solve quadratic equations 
  • derive the quadratic formula
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Student Text and Workbook:  Chapters, Contents, and Preview

How Do We Know Things?

Chapter 1: Exponents

  1. The Laws of Exponents 
  2. Negative Exponents 
  3. Scientific Notation 
  4. Fractional Exponents 
  5. Manipulating Square Roots 
  6. Solving Radical Equations 
  7. Exponential Functions 

Chapter 2: Introduction to Polynomials

Negative Exponents

  1. What's a Polynomial & What's it For?
  2. Adding and Subtracting Polynomials 
  3. Solve Single-Variable Quadratic Equations 
  4. Multiplying Polynomials 
  5. Dividing Polynomials 

Chapter 3: Factoring Polynomials & Solving Quadratic Equations

Inductive Reasoning & Its Limitations

  1. Common Factors in Polynomials 
  2. Factoring Second-Degree Polynomials 
  3. Solving Single-Variable Quadratic Equations 
  4. Graphing Two-Variable Quadratic Equations 
  5. Further Factoring of Second-Degree Polynomials 
  6. Applications in Equation-Solving & Graphing 

Chapter 4: Polynomials in Rational Expressions 

  1. Using Your Factoring Skills 
  2. Adding & Subtracting Fractions with Polynomials 
  3. Multiplying & Dividing Fractions with Polynomials 

Chapter 5: Advanced Factoring & the Quadratic Formula 

  1. Completing the Square 
  2. The Quadratic Formula 
  3. Factoring Higher-Degree Polynomials 
  4. Single-Variable Equations of Higher Degree 
  5. Two-Variable Equations of Higher Degree 

Chapter 6: Afterword 

  1. Reflections on Your Course of Study & on Writing One's Own Textbook with Notes to Self 

Answer Book & Tests Contains:

  1. answers to all the practice problems in the Student Workbook
  2. numerous and diverse examples of real student work
  3. sample solutions to problems that can be solved in a variety of ways
  4. questions and problem sets designed to help students gain confidence in their own abilities
  5. differentiated instruction methods to accommodate different learning styles