Synopses & Reviews
Prealgebra, 4/e, helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the rest of the text. This text's single greatest strength is the Aufmann Interactive Method, which enables students to work with the math concepts as they're being introduced. In addition, the text strongly emphasizes the AMATYC standards, with a special focus on real-sourced data.
About the Author
Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.Joanne Lockwood is co-author with Dick Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also the co-author of Mathematical Excursions with Aufmann.
Table of Contents
Each chapter begins with a Prep Test and concludes with a Chapter Summary, Chapter Review Exercises, and a Chapter Test. Chapters 2-10 include Cumulative Review Exercises. 1. Whole Numbers Section 1.1 Introduction to Whole Numbers Section 1.2 Addition and Subtraction of Whole Numbers Section 1.3 Multiplication and Division of Whole Numbers Section 1.4 Solving Equations with Whole Numbers Section 1.5 The Order of Operations Agreement Focus on Problem Solving: Questions to Ask Projects and Group Activities: Surveys; Applications of Surveys in Mathematics; Salary Calculator; Subtraction Squares 2. Integers Section 2.1 Introduction to Integers Section 2.2 Addition and Subtraction of Integers Section 2.3 Multiplication and Division of Integers Section 2.4 Solving Equations with Integers Section 2.5 The Order of Operations Agreement Focus on Problem Solving: Drawing Diagrams Projects and Group Activities: Time Zones; Multiplication of Integers; Closure; Morse Code/Binary Code 3. Fractions Section 3.1 Least Common Multiple and Greatest Common Factor Section 3.2 Introduction to Fractions Section 3.3 Addition and Subtraction of Fractions Section 3.4 Multiplication and Division of Fractions Section 3.5 Solving Equations with Fractions Section 3.6 Exponents, Complex Fractions, and The Order of Operations Agreement Focus on Problem Solving: Common Knowledge Projects and Group Activities: Music; Construction; Fractions of Diagrams; Puzzle from the Middle Ages; Using Patterns in Experimentation 4. Decimals and Real Numbers Section 4.1 Introduction to Decimals Section 4.2 Operations on Decimals Section 4.3 Solving Equations with Decimals Section 4.4 Radical Expressions Section 4.5 Real Numbers Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Averages; Sequences; Customer Billing 5. Variable Expressions Section 5.1 Properties of Real Numbers Section 5.2 Variable Expressions in Simplest Form Section 5.3 Addition and Subtraction of Polynomials Section 5.4 Multiplication of Monomials Section 5.5 Multiplication of Polynomials Section 5.6 Division of Monomials Section 5.7 Verbal Expressions and Variable Expressions Focus on Problem Solving: Look for a Pattern Projects and Group Activities: Multiplication of Polynomials 6. First-Degree Equations Section 6.1 Equations of the Form x + a = b and ax = b Section 6.2 Equations of the Form ax + b = c Section 6.3 General First-Degree Equations Section 6.4 Translating Sentences into Equations Section 6.5 The Rectangular Coordinate System Section 6.6 Graphs of Straight Lines Focus on Problem Solving: Making a Table Projects in Mathematics: Modular Arithmetic 7. Measurement and Proportion Section 7.1 The Metric System of Measurement Section 7.2 Ratios and Rates Section 7.3 The U.S. Customary System of Measurement Section 7.4 Proportion Section 7.5 Direct and Inverse Variation Focus on Problem Solving: Relevant Information Projects in Mathematics: Earned Run Average; Joint Variation 8. Percent Section 8.1 Percent Section 8.2 The Basic Percent Equation Section 8.3 Percent Increase and Percent Decrease Section 8.4 Markup and Discount Section 8.5 Simple Interest Focus on Problem Solving: Using a Calculator as a Problem-Solving Tool Projects in Mathematics: Buying a Car; Demography; Health and Nutrition 9. Geometry Section 9.1 Introduction to Geometry Section 9.2 Plane Geometric Figures Section 9.3 Triangles Section 9.4 Solids Section 9.5 Composite Figures Focus on Problem Solving: Trial and Error Projects in Mathematics: Lines of Symmetry; Preparing a Circle Graph 10. Statistics and Probability Section 10.1 Organizing Data Section 10.2 Statistical Measures Section 10.3 Introduction to Probability Focus on Problem Solving: Applying Solutions to Other Problems Projects in Mathematics: Random Samples; Working Backwards Final Examination Appendix Index