ISBN13: 978-0618372621

ISBN10: 0618372628

Cover type:

Edition/Copyright: 4TH 05

Publisher: Houghton Mifflin Harcourt

Published: 2005

International: No

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.

**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

Solutions to Student Examples

Answers to Odd-Numbered Exercises

Index

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

ISBN13: 978-0618372621ISBN10: 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

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

Solutions to Student Examples

Answers to Odd-Numbered Exercises

Index

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