Synopses & Reviews
PREALGEBRA, 5/e, is a consumable worktext that 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 text. This text's strength lies in the Aufmann Interactive Method, which enables students to work with math concepts as they're being introduced. Each set of matched-pair examples is organized around an objective and includes a worked example and a You Try It example for students. In addition, the program emphasizes AMATYC standards, with a special focus on real-sourced data. The Fifth Edition incorporates the hallmarks that make Aufmann developmental texts ideal for students and instructors: an interactive approach in an objective-based framework; a clear writing style; and an emphasis on problem solving strategies, offering guided learning for both lecture-based and self-paced courses. The authors introduce two new exercises designed to foster conceptual understanding: Interactive Exercises and Think About It exercises.
About the Author
Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development. Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.
Table of Contents
Note: 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. AIM for Success: Getting Started. 1. WHOLE NUMBERS. Introduction to Whole Numbers. Addition and Subtraction of Whole Numbers. Multiplication and Division of Whole Numbers. Solving Equations with Whole Numbers. The Order of Operations Agreement. Focus on Problem Solving: Questions to Ask. Projects and Group Activities: Surveys; Applications of Patterns in Mathematics; Salary Calculator; Subtraction Squares. 2. INTEGERS. Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Solving Equations with Integers. The Order of Operations Agreement. Focus on Problem Solving: Drawing Diagrams. Projects and Group Activities: Multiplication of Integers; Closure. 3. FRACTIONS. Least Common Multiple and Greatest Common Factor. Introduction to Fractions. Multiplication and Division of Fractions. Addition and Subtraction of Fractions. Solving Equations with Fractions. Exponents, Complex Fractions, and The Order of Operations. Focus on Problem Solving: Common Knowledge. Projects and Group Activities: Music; Using Patterns in Experimentation. 4. DECIMALS AND REAL NUMBERS. Introduction to Decimals. Addition and Subtraction of Decimals. Multiplication and Division of Decimals. Solving Equations with Decimals. Radical Expressions. Real Numbers. Focus on Problem Solving: From Concrete to Abstract. Projects and Group Activities: Customer Billing. 5. VARIABLE EXPRESSIONS. Properties of Real Numbers. Variable Expressions in Simplest Form. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Division of Monomials. Verbal Expressions and Variable Expressions. Focus on Problem Solving: Look for a Pattern. Projects and Group Activities: Multiplication of Polynomials. 6. FIRST-DEGREE EQUATIONS. Equations of the Form x + a = b and ax = b. Equations of the Form ax + b = c. General First-Degree Equations. Translating Sentences into Equations. The Rectangular Coordinate System. Graphs of Straight Lines. Focus on Problem Solving: Making a Table. Projects in Mathematics: Collecting, Organizing, and Analyzing Data. 7. MEASUREMENT AND PROPORTION. The Metric System of Measurement. Ratios and Rates. The U.S. Customary System of Measurement. Proportion. Direct and Inverse Variation. Focus on Problem Solving: Relevant Information. Projects in Mathematics: Earned Run Average. 8. PERCENT. Percent. The Basic Percent Equation. Percent Increase and Percent Decrease. Markup and Discount. Simple Interest. Focus on Problem Solving: Using a Calculator as a Problem-Solving Tool. Projects in Mathematics: Buying a Car. 9. GEOMETRY. Introduction to Geometry. Plane Geometric Figures. Triangles. Solids. Focus on Problem Solving: Trial and Error. Projects in Mathematics: Lines of Symmetry. Preparing a Circle Graph. 10. STATISTICS AND PROBABILITY. Organizing Data. Statistical Measures. Introduction to Probability. Focus on Problem Solving: Applying Solutions to Other Problems. Projects in Mathematics: Random Samples. Final Examination. APPENDIX. Solutions to You-Try-Its. Answers to Odd-Numbered Exercises. Glossary. Index.