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Prealgebra
Tom Carson, Columbia State Community College

ISBN-10: 0201655535
ISBN-13: 9780201655537

Publisher: Pearson
Copyright: 2001
Format: Paper; 709 pp
Published: 07/07/2000

Using a unique study plan to help students succeed, Prealgebra is a book “for the student.” The author's goal is to help build students' confidence, understanding, and appreciation of math and basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. To help with poor study habits, the book introduces and integrates a study plan that uses color, note-taking tips, test-taking tips, general time-management skills, and a learning style inventory to provide students with real structure and guidance for this and other courses.

Motivation is created throughout the text by a wealth of relevant applications that truly speak to today's students. Trivia bites and historical notes are also included to show where the mathematical concepts come from and to help students relate these concepts to their everyday lives.

Tom Carson's writing style is extremely student-friendly. He talks to the students in their own language and walks them through the concepts, explaining not only how to do the math, but also why it works and where it comes from rather than the “monkey-see, monkey-do" approach that many other books take.

A unique study system, laid out in the “To the Student” portion of the preface and reinforced throughout the chapter openers, teaches students HOW to study, giving them note-taking tips, test-taking tips, and time management skills. Preface

An emphasis on learning styles: In the “To the Student” portion of the preface, students are invited to take a Learning Styles Inventory test to find out what type of learner they are—visual, auditory, or tactile. Discussion of learning styles and how to maximize your learning based on your learning style is continued in the chapter openers. Pg. Preface, 87

The author's 5-step problem-solving process (Understand, Plan, Execute, Answer, Check) is introduced in Section 1.7 and applied to every subsequent application problem in the text with the step headings clearly present; this reinforcement is key in developing students' critical thinking skills and problem-solving abilities. Pg. 65, 456, 575

Polynomials are introduced early (Ch. 3) so that students become familiar with this crucial topic early on and can continually reinforce their understanding throughout later chapters. Pg. 155

Real-world applications are drawn from a variety of fields to help all students see the relevancy of math in their everyday lives. Pg. 132, 404-569

A truly motivational writing style, along with motivational content in the form of Trivia Bites, Historical Notes, and Puzzle Problems, gets students excited about learning. Pg. 73, 242, 457

Margin problems are given for every example in the text so that students can immediately practice what they have just learned; answers to the margin problems are provided at the bottom of each page. Pg. 159 and throughout the text

Connection boxes located throughout the text show students how mathematical concepts interrelate and build upon each other. Pg. 183, 292, 514

Cumulative review material is continuously reinforced to help students retain all of the material they have learned. Each section exercise set concludes with review problems that cover previous concepts, and starting with Chapter 2, each chapter has Cumulative Review Exercises that cover all preceding chapters. Pg. 287, 543

An innovative Project Portfolios Workbook gives students a chance to practice their skills cumulatively by working through one of two projects throughout the semester using real data in a real-world situation. The projects, Buying a House or Starting Your Own Business, incorporate useful life skills. Instructors can assign the project portfolios to individual students or as group projects. Pg. Preface

(Each chapter is followed by a Summary, Review Exercises, and Practice Test, and every chapter except Chapter 1 is also followed by Cumulative Review Exercises.)

Preface.

Description of Project Portfolios Workbook.

To The Student.

What is Your Personal Learning Style.

1. Whole Numbers.

Introduction to Numbers, Notation, and Rounding.

Adding, Subtracting, and Solving Equations with Whole Numbers.

Multiplying Whole Numbers and Exponents.

Dividing, Square Roots, and Solving Equations with Whole Numbers.

Order of Operations.

Variables, Formulas, and Solving Equations.

Problem Solving and Applications.

2. Integers.

Introduction to Integers.

Adding Integers.

Subtracting Integers and Solving Equations.

Multiplying, Dividing, and Solving Equations with Integers.

Order of Operations.

Applications and Problem Solving.

3. Expressions and Polynomials.

Expressions.

Polynomials.

Simplifying Polynomials.

Adding and Subtracting Polynomials.

Multiplying Polynomials.

Prime Numbers and GCF.

Introduction to Factoring.

Applications and Problem Solving.

4. Equations.

Equations and Their Solutions.

The Addition/Subtraction Principle.

The Multiplication/Division Principle.

Translating Word Sentences to Equations.

Applications and Problem Solving.

5. Fractions and Rational Expressions.

Fractions, Mixed Numbers, and Rational Expressions.

Reducing Fractions and Rational Expressions.

Multiplying Fractions, Mixed Numbers, and Rational Expressions.

Dividing Fractions, Mixed Numbers, and Rational Expressions.

Least Common Multiple.

Adding and Subtracting Fractions, Mixed Numbers, and Rational Expressions.

Order of Operations, and Evaluating and Simplifying Expressions.

Solving Equations.

6. Decimals.

Decimals and Rational and Irrational Numbers.

Adding and Subtracting with Decimals, and Solving Equations.

Multiplying Decimals; Exponents with Decimal Bases.

Dividing and Roots with Decimals.

Order of Operations.

Solving Equations and Problem Solving.

7. Ratios, Proportions, and Measurement.

Ratios, Probability, and Rates.

Proportions.

American Measurement.

Metric Measurement.

Converting Between the American and Metric Systems.

Applications and Problem Solving.

8. Percents.

Introduction to Percent.

Solving Percent Sentences by Direct Translation.

Solving Percent Sentences by Proportion.

Solving Percent Problems (Portions).

Solving Problems Involving Percent of Increase or Decrease.

Solving Problems Involving Interest.

9. Statistics and Graphs.

Mean, Median, and Mode.

Tables, Charts, and Graphs.

The Rectangular Coordinate System.

Graphing Linear Equations.

Applications with Graphing.

Appendix. Answers to Odd-Numbered Exercises, All Review Exercises, and All Practice Test Problems

Glossary.

Index.

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ISBN-10: 032149993X | ISBN-13: 9780321499936
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Tom Carson's Prealgebra, Third Edition responds to individual learning styles with a complete study system. The system begins with a Learning Styles Inventory and then presents targeted learning strategies to guide students to success. Tom speaks to students in everyday language and walks them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work.

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