Chuckles the Rocket Dog

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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