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Prealgebra - 4th edition

ISBN13: 978-0618372621

Cover of Prealgebra 4TH 05 (ISBN 978-0618372621)
ISBN13: 978-0618372621
ISBN10: 0618372628
Cover type:
Edition/Copyright: 4TH 05
Publisher: Houghton Mifflin Harcourt
Published: 2005
International: No

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Prealgebra - 4TH 05 edition

ISBN13: 978-0618372621

Richard N. Aufmann, Vernon C. Barker and Joanne Lockwood

ISBN13: 978-0618372621
ISBN10: 0618372628
Cover type:
Edition/Copyright: 4TH 05
Publisher: Houghton Mifflin Harcourt

Published: 2005
International: No

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.

  • New! AIM for Success Student Preface explains how students can achieve success using this text, and walks them through the use of specific supportive features. Prep Tests at the beginning of each chapter focus on the particular prerequisite skills that will be used in the upcoming chapter. Go Figure problems are puzzles designed to engage students in problem solving.
  • Aufmann Interactive Method provides students with an opportunity to try a skill as it is presented. Each section is divided into objectives, and every objective contains one or more sets of matched-pair examples. The first example in each set is worked out; the second example, called You Try It, requires students to actively practice concepts as they are presented in the text. Complete worked-out solutions to these examples are in the appendix, providing immediate feedback and reinforcement.
  • Engaging chapter-opening photos illustrate and reference a specific mathematical application from the chapter. Short-answer Critical Thinking exercises and writing exercises at the end of each section reinforce understanding by encouraging students to think about or review an important concept presented in the lesson.
  • All of the Exercise Sets emphasize skill building, skill maintenance, and applications.
  • End-of-chapter support includes Focus on Problem Solving, which introduces students to various problem-solving strategies, and Projects & Group Activities, which include such varied applications as music, the stock market, earned run averages, buying a car, and nutrition.
  • Throughout the text, data problems have been updated to reflect current data and trends. These application problems demonstrate for students the variety of problems that require mathematical analysis. Instructors can use many of these problems to lead interesting class discussions.
  • Take Note margin notes alert student to a point requiring special attention or amplify the concept under discussion. Point of Interest margin notes contain interesting sidelights about mathematics, its history, or its application. Calculator Notes provide suggestions for using a calculator in certain situations. Calculator icons in both the Student Edition and Instructor's Annotated Edition indicate exercises that require a calculator.
  • For ease of navigation and flexibility in choosing applications, an Index of Application appears on the inside front cover, and a chapter-by-chapter index of application problems can be found in the Table of Contents.
  • Chapter Review Exercises at the end of each chapter help students integrate all of the topics presented in the chapter. A two-page Chapter Test provides students with the opportunity to test their understanding of the material and to diagnose their weaknesses. Cumulative Review Exercises help students maintain skills learned in previous chapters.
  • Revised! Chapter Summaries have been rewritten to be a more useful guide to students as they review for a test. These sections review Key Words and highlight the Essential Rules and Procedures that were introduced in the chapter, accompanied by examples.

Table of Contents

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
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

Solutions to Student Examples
Answers to Odd-Numbered Exercises

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