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Overview

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.

Richard N. Aufmann, Palomar College

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 S. Lockwood, Nashua Community College

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.
  • This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign presents thousands of algorithmically-generated problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of Enhanced WebAssign quickly.
  • New! Interactive Exercises test students' understanding of basic concepts, often requiring them to complete fill-in-the blank exercises. These exercises reinforce the Aufmann Interactive Approach, act as stepping-stones to the remaining exercises for the objective, and are designed to lead to greater student mastery of essential skills.
  • New! Think About It exercises focus on quantitative reasoning by asking students to consider each objective, make generalizations, and apply them to more abstract problems. Additional short-answer Critical Thinking questions require students to summarize important concepts presented in the lesson.
  • New! The order of operations of fractions has been reversed; coverage of Multiplication and Division of Fractions now precedes Addition and Subtraction of Fractions.
  • New! The technology program now includes the CL Testing CD (powered by Diploma), which makes it easy to create, author/edit, customize, and deliver multiple types of tests.
  • New! CL MATHSpace encompasses the interactive online products and services integrated with Houghton Mifflin mathematics programs. CL MATHSpace content can be accessed through text-specific Student and Instructor Websites and via course management systems.
  • Updated! New problems in the exercise sets emphasize skill building, skill maintenance, and applications. Checkpoints and opportunities for extra review and practice include Chapter Review Exercises, Chapter Tests, and Cumulative Review Exercises.
  • Enhanced! Designed specifically with student success in mind, the program includes an enhanced AIM for Success: Getting Started, which emphasizes study skills, personal responsibility, and best practices for users of the text. A lesson plan and accompanying PowerPoint slides are available for instructors on the instructor website.
  • Revised! Section 4.2, "Operations of Decimals," has been split into two sections: Section 4.2 now covers "Addition and Subtraction of Decimals," and Section 4.3 covers "Multiplication and Division of Decimals." Chapter 9, "Geometry," has been streamlined to more closely reflect the topics generally covered in prealgebra courses. The material on composite figures has been removed.
  • Updated! Real Data problems demonstrate the value of math in daily life and across the disciplines—helping to engage students and jumpstart class discussions. Projects and Group Activities include applications of mathematics to a variety of fields, such as music, the stock market, earned run averages, buying a car, and nutrition.
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.
WebAssign
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Complete Solutions Manual

ISBN: 9781285092324
The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.

General Instructor's Resource Binder with IRB Appendix

ISBN: 9781285161570
Each section of the main text is discussed in uniquely designed Teaching Guides containing tips, examples, activities, worksheets, overheads, assessments, and solutions to all worksheet and activities.

PowerLecture Diploma

ISBN: 9781285089850

Student Solutions Manual

ISBN: 9781285092331
The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text.

AIM for Success Practice Sheets

ISBN: 9781285161525
Additional practice problems to help your students learn the material.

Student Workbook

ISBN: 9781285092355
Get a head start! The Student Workbook contains all of the assessments, activities, and worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.

FOR STUDENTS

Student Solutions Manual

ISBN: 9781285092331
The Student Solutions Manual contains the complete solutions to all odd-numbered exercises in the text.

AIM for Success Practice Sheets

ISBN: 9781285161525
Practice with additional problems to help you learn the material.

Student Workbook

ISBN: 9781285092355
Get a head start! The Student Workbook contains all of the assessments, activities, and worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.