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Rating: Summary: Amazingly complete introductory text. Review: I chose this inexpensive paperback to formally introduce my child to Algebra during the Summer. Beginning with the simplest definitions, Ms. Ross builds a very firm foundation, keeping the focus on Algebra by including EVERY intermediate step during solution of the example problems. Her approach is necessarily terse, but she offers major alternative methods in separate sections that often show a single problem solved from different angles. The result is an amazingly complete text, including matrix methods for linear equations and approximate methods with graphing. There are no student problems, since the book was meant more as a refresher or reference volume, but this allows me to expand the material in calculated directions, so I see this void more as a feature for my particular situation. Table of Contents Chapter 1: Translating Problems into Algebraic Equations Chapter 2: Simplifying Algebraic Equations Chapter 3: Solving Simple Algebraic Equations Chapter 4: Algebraic Inequalities Chapter 5: Polynomials Chapter 6: Algebraic Fractions with Polynomial Expressions Chapter 7: Solving Quadratic Polynomial Equations with One Unknown Variable Chapter 8: Solving Systems of Linear Equations with Two or Three Unknown Variables Chapter 9: Working with Coordinate Systems and Graphing Equations Index
Rating: Summary: Learn algebra in leaps instead of baby steps. Review: In "Master Math: Algebra," Debra Anne Ross teaches algebraic techniques without breaking concepts into tiny pieces and assigning an excess of practice problems. This book will be useful for people who are more able than the average, people who can learn from the printed word, systematic thinkers and those who learned algrbra easily and need to recoup their knowledge. I am using it to teach a gifted nine-year-old. Since traditional textbooks are aimed at a fairly slow learner, we would have to do several lessons each day using a traditional text. Using "Master Math: Algebra," we study one page each day, covering a new idea completely
Rating: Summary: Table of Contents Review: In "Master Math: Algebra," Debra Anne Ross teaches algebraic techniques without breaking concepts into tiny pieces and assigning an excess of practice problems. This book will be useful for people who are more able than the average, people who can learn from the printed word, systematic thinkers and those who learned algrbra easily and need to recoup their knowledge. I am using it to teach a gifted nine-year-old. Since traditional textbooks are aimed at a fairly slow learner, we would have to do several lessons each day using a traditional text. Using "Master Math: Algebra," we study one page each day, covering a new idea completely
Rating: Summary: Table of Contents Review: Table of Contents for the second book in the Master Math series, Algebra Introduction 1 Chapter 1 Translating Problems into Algebraic Equations5 1.1. Introduction to algebra5 1.2. Translating English into algebraic equations6 1.3. Algebra terminology8 1.4. Simple word problems12 Chapter 2 Simplifying Algebraic Equations22 2.1. Commutative, associative and distributive properties of addition and multiplication22 2.2. Using associative and distributive properties23 2.3. Combining like terms in algebraic equations26 2.4. Simplifying algebraic equations by removing parentheses and combining like terms28 2.5. The general order to perform operations in algebra30 Chapter 3 Solving Simple Algebraic Equations31 3.1. Solving algebraic equations that have one unknown variable31 3.2. Solving simple algebraic equations containing fractions39 3.3. Solving simple algebraic equations containing radicals43 Chapter 4 Algebraic Inequalities46 4.1. Solving algebraic inequalities with one unknown variable46 Chapter 5 Polynomials49 5.1. Definitions49 5.2. Addition of polynomials51 5.3. Subtraction of polynomials52 5.4. Multiplication of polynomials53 5.5. Division of polynomials55 5.6. Factoring polynomials with a common monomial factor61 5.7. Factoring polynomial expressions with the form ax2+bx+c62 Chapter 6 Algebraic Fractions with Polynomial Expressions 72 6.1. Factoring and reducing algebraic fractions72 6.2. Multiplication of algebraic fractions73 6.3. Division of algebraic fractions74 6.4. Addition and subtraction of algebraic fractions 76 Chapter 7 Solving Quadratic Polynomial Equations with One Unknown Variable81 7.1. Defining and solving quadratic (polynomial) equations82 7.2. Using factoring to solve quadratic equations with one unknown variable83 7.3. Using the quadratic formula to solve quadratic equations with one unknown variable 87 7.4. Using the square root method to solve quadratic equations with one unknown variable90 7.5. Using the method of completing the square to solve quadratic equations with one unknown variable 92 Chapter 8 Solving Systems of Linear Equations with Two or Three Unknown Variables95 8.1. Solving systems of linear equations with two or more unknown variables96 8.2. Using the elimination method to solve systems of linear equations with two unknown variables98 8.3. Using the substitution method to solve systems of linear equations with two unknown variables103 8.4. Using the method of determinants to solve systems of two linear equations with two unknown variables105 8.5. Solving systems of three linear equations with three unknown variables110 8.6. Using the elimination method to solve systems of three linear equations with three unknown variables 111 8.7. Using the substitution method to solve systems of three linear equations with three unknown variables115 8.8. Using the matrix method to solve systems of three linear equations with three unknown variables119 8.9. Using the method of determinants of a square matrix to solve systems of three linear equations with three unknown variables126 Chapter 9 Coordinate Systems and Graphing Equations133 9.1. Introduction and definitions134 9.2. Graphing linear equations139 9.3. Slope of a line145 9.4. Graphs of the equations for the parabola150 9.5. Graphing quadratic equations152 9.6. Using graphing to solve quadratic equations155 9.7. Using graphing to solve two linear equations with two unknown variables160 9.8. Examples of other equation forms that graph to shapes on a coordinate system164 Index169 Appendix 171
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