Maintaining its hallmark features of carefully detailed explanations and accessible pedagogy, this edition also addresses the AMATYC and NCTM Standards. In addition to the changes incorporated into the text, a new integrated video series and multimedia tutorial program are also available. Designed for a one-semester beginning or introductory algebra course, this successful worktext is appropriate for lecture, learning center, laboratory, or self-paced courses.
Maintaining its hallmark features of carefully detailed explanations and accessible pedagogy, this edition also addresses the AMATYC and NCTM Standards. In addition to the changes incorporated into the text, a new integrated video series and multimedia tutorial program are also available. Designed for a one-semester beginning or introductory algebra course, this successful worktext is appropriate for lecture, learning center, laboratory, or self-paced courses.
Don began teaching in a preschool while he was an undergraduate. He subsequently taught children with disabilities, adults with disabilities, high school mathematics, and college mathematics. Although each position offered different challenges, it was always breaking a challenging lesson into teachable components that he most enjoyed. It was at Clackamas Community College that he found his professional niche. The community college allowed him to focus on teaching within a department that constantly challenged faculty and students to expect more. Under the guidance of Jim Streeter, Don learned to present his approach to teaching in the form of a textbook. Don has also been an active member of many professional organizations. He has been president of ORMATYC, AMATYC committee chair, and ACM curriculum committee member. He has presented at AMATYC, ORMATYC, AACC, MAA, ICTCM, and a variety of other conferences. Above all, he encourages you to be involved, whether as a teacher or as a learner. Whether discussing curricula at a professional meeting or homework in a cafeteria, it is the process of communicating an idea that helps one to clarify it.
Inhaltsangabe
0 An Arithmetic Review 0.1 Prime Factorization and Least Common Multiples 0.2 Factoring and Mixed Numbers 0.3 Decimals and Percents 0.4 Exponents and the Order of Operations 0.5 Positive and Negative Numbers 1 The Language of Algebra 1.1 From Arithmetic to Algebra 1.2 Properties of Real Numbers 1.3 Adding and Subtracting Real Numbers 1.4 Multiplying and Dividing Real Numbers 1.5 Evaluating Algebraic Expressions 1.6 Adding and Subtracting Terms 1.7 Multiplying and Dividing Terms 2 Equations and Inequalities 2.1 Solving Equations by the Addition Property 2.2 Solving Equations by the Multiplication Property 2.3 Combining the Rules to Solve Equations 2.4 Formulas and Problem Solving 2.5 Applications of Linear Equations 2.6 Solving Percent Applications 2.7 Inequalities--An Introduction 3 Polynomials 3.1 Exponents and Polynomials 3.2 Negative Exponents and Scientific Notation 3.3 Adding and Subtracting Polynomials 3.4 Multiplying Polynomials 3.5 Special Products 3.6 Dividing Polynomials 4 Factoring 4.1 An Introduction to Factoring 4.2 Factoring Trinomials of the Form x2 + bx + c 4.3 Factoring Trinomials of the Form ax2 + bx + c 4.4 Difference of Squares and Perfect Square Trinomials 4.5 Factoring by Grouping 4.6 Using the ac Method to Factor 4.7 Strategies in Factoring 4.8 Solving Quadratic Equations by Factoring 5 Rational Expressions 5.1 Simplifying Rational Expressions 5.2 Multiplying and Dividing Rational Expressions 5.3 Adding and Subtracting Like Rational Expressions 5.4 Adding and Subtracting Unlike Rational Expressions 5.5 Equations Involving Rational Expressions 5.6 Applications of Rational Expressions 5.7 Complex Rational Expressions 6 An Introduction to Graphing 6.1 Solutions of Equations in Two Variables 6.2 The Rectangular Coordinate System 6.3 Graphing Linear Equations 6.4 The Slope of a Line 6.5 Reading Graphs 7 Graphing and Inequalities 7.1 The Slope-Intercept Form 7.2 Parallel and Perpendicular Lines 7.3 The Point-Slope Form 7.4 Graphing Linear Inequalities 7.5 An Introduction to Functions 8 Systems of Linear Equations 8.1 Systems of Linear Equations: Solving by Graphing 8.2 Systems of Linear Equations: Solving by Adding 8.3 Systems of Linear Equations: Solving by Substitution 8.4 Systems of Linear Inequalities 9 Exponents and Radicals 9.1 Roots and Radicals 9.2 Simplifying Radical Expressions 9.3 Adding and Subtracting Radicals 9.4 Multiplying and Dividing Radicals 9.5 Solve Radical Equations 9.6 Applications of the Pythagorean Theorem 10 Quadratic Equations 10.1 More on Quadratic Equations 10.2 Completing the Square 10.3 The Quadratic Formula 10.4 Graphing Quadratic Equations 10.5 Applications of Quadratic Equations
0 An Arithmetic Review 0.1 Prime Factorization and Least Common Multiples 0.2 Factoring and Mixed Numbers 0.3 Decimals and Percents 0.4 Exponents and the Order of Operations 0.5 Positive and Negative Numbers 1 The Language of Algebra 1.1 From Arithmetic to Algebra 1.2 Properties of Real Numbers 1.3 Adding and Subtracting Real Numbers 1.4 Multiplying and Dividing Real Numbers 1.5 Evaluating Algebraic Expressions 1.6 Adding and Subtracting Terms 1.7 Multiplying and Dividing Terms 2 Equations and Inequalities 2.1 Solving Equations by the Addition Property 2.2 Solving Equations by the Multiplication Property 2.3 Combining the Rules to Solve Equations 2.4 Formulas and Problem Solving 2.5 Applications of Linear Equations 2.6 Solving Percent Applications 2.7 Inequalities--An Introduction 3 Polynomials 3.1 Exponents and Polynomials 3.2 Negative Exponents and Scientific Notation 3.3 Adding and Subtracting Polynomials 3.4 Multiplying Polynomials 3.5 Special Products 3.6 Dividing Polynomials 4 Factoring 4.1 An Introduction to Factoring 4.2 Factoring Trinomials of the Form x2 + bx + c 4.3 Factoring Trinomials of the Form ax2 + bx + c 4.4 Difference of Squares and Perfect Square Trinomials 4.5 Factoring by Grouping 4.6 Using the ac Method to Factor 4.7 Strategies in Factoring 4.8 Solving Quadratic Equations by Factoring 5 Rational Expressions 5.1 Simplifying Rational Expressions 5.2 Multiplying and Dividing Rational Expressions 5.3 Adding and Subtracting Like Rational Expressions 5.4 Adding and Subtracting Unlike Rational Expressions 5.5 Equations Involving Rational Expressions 5.6 Applications of Rational Expressions 5.7 Complex Rational Expressions 6 An Introduction to Graphing 6.1 Solutions of Equations in Two Variables 6.2 The Rectangular Coordinate System 6.3 Graphing Linear Equations 6.4 The Slope of a Line 6.5 Reading Graphs 7 Graphing and Inequalities 7.1 The Slope-Intercept Form 7.2 Parallel and Perpendicular Lines 7.3 The Point-Slope Form 7.4 Graphing Linear Inequalities 7.5 An Introduction to Functions 8 Systems of Linear Equations 8.1 Systems of Linear Equations: Solving by Graphing 8.2 Systems of Linear Equations: Solving by Adding 8.3 Systems of Linear Equations: Solving by Substitution 8.4 Systems of Linear Inequalities 9 Exponents and Radicals 9.1 Roots and Radicals 9.2 Simplifying Radical Expressions 9.3 Adding and Subtracting Radicals 9.4 Multiplying and Dividing Radicals 9.5 Solve Radical Equations 9.6 Applications of the Pythagorean Theorem 10 Quadratic Equations 10.1 More on Quadratic Equations 10.2 Completing the Square 10.3 The Quadratic Formula 10.4 Graphing Quadratic Equations 10.5 Applications of Quadratic Equations
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