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Developmental Mathematics, 3rd edition

Published by Pearson (January 6, 2015) © 2015

  • Elayn Martin-Gay University of New Orleans, Lakefront
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The Martin-Gay developmental math program offers a variety of print and digital resources so instructors can build the ideal learning solution for their students.

Martin-Gay’s NEW Student Success program is motivated by Elayn’s firm belief that every student can succeed. This integrated learning system combines the textbook, MyMathLab, student and video organizers, and the video program, and is designed to help students gain the math and study skills needed for success in developmental math and beyond.

  • The new Ready to Go MyMathLab®courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Each course includes pre-assigned homework and quizzes to make creating a course even easier. The Martin-Gay course provides a stepped-out learning path for students that integrates the textbook, videos, and Video Organizer to help ensure that students are using all resources.
  • All videos in the video program are presented by Elayn Martin-Gay to ensure 100% consistency with the text, and are available in both MyMathLab® and on the Interactive DVD Lecture Series. The following types of videos are available:
    • A complete lecture for each section of the text highlights key examples and exercises. New “pop-ups” reinforce key terms, definitions, and concepts while Martin-Gay presents the material.
    • Interactive Concept Checks measure students’ understanding of key concepts and common trouble spots. After the viewer selects an answer from several multiple choice options, Martin-Gay explains why the answer is correct or incorrect.
    • The Chapter Test Prep Videos help students during their most teachable moment–when they are preparing for a test. This Martin-Gay innovation provides step-by-step solutions for the exercises found in each Chapter Test. Complete solutions on video for all exercises from the Practice Final Exam (located in Student Resources) help students prepare for the real thing. Overview segments review key problem-solving strategies.
    • The NEW Student Success Tips Videos are 3- to 5-minute video segments designed to be a daily reminder to students to continue practicing and maintaining good organizational and study habits (see New-to-Edition section for more information).
  • Two Organizer options let you  choose the option that best suits your teaching style and format.
    • The NEW Video Organizer is designed to help students take notes and work practice exercises while watching the Interactive lecture series (available in MyMathLab and on DVD).
      • All content in the Video Organizer is presented in the same order as it is presented in the videos, making it easy for students to create a course notebook and build good study habits.
      • The Organizer provides ample space for students to write down key definitions and rules.
      • The Video Organizer is available in loose-leaf, notebook-ready format and is also available in MyMathLab.
      • Includes an outline for use with  the new Student Success Tip videos
    • The Student Organizer is designed to help students develop the study habits they need to be successful.
      • This Organizer guides students through the three main components of studying effectively–note-taking, practice, and homework–and helps them develop the habits that will enable them to succeed in future courses.
      • The Student Organizer can be packaged with the text in loose-leaf, notebook-ready format and is also available in MyMathLab.
      • It now includes an outline for use with the new Student Success Tip Videos

The textbook, available in print or digital format, is the keystone of the Martin-Gay program. Elayn Martin-Gay is known for her accessible writing style and for the depth of resources she provides for instructors and students in her texts.

  • Detailed step-by-step examples provide guidance for students.
  • Practice exercises are paired with each example to actively involve students in the learning process.
  • Concept Checks throughout the text allow students to gauge their grasp of an idea as it is presented in the text. By stressing conceptual understanding at point-of-use, the Concept Checks help prevent misconceived notions for important topics.
  • All exercise sets have been carefully updated with this revision. Several special types of exercises throughout the text give students the practice they need: new Vocabulary, Readiness and Video Checks; Guided Applications; Mixed Practice; Concept Extension; and more!
  • Martin-Gay’s presentation of Study Skills ensures that students make the most of their valuable study time in order to help them succeed in this course. In-text study skills resources include Section 1.1, Tips for Success in Mathematics and the Student Resources section located in the back of the book.
  • End-of-chapter material offers students a wealth of review- and retention-oriented material to reinforce the concepts presented in current and previous chapters.

New and Updated Features

  • Student Success Tips Videos are 3- to -5 minute video segments designed to be a daily reminder to students to continue practicing and maintaining good organizational and study habits. They are organized in three categories and are available in MyMathLab and the Interactive Lecture Series. The categories are:
    • Student Success Tips Videos that apply to any course in college in general, such as Time Management.
    • Student Success Tips Videos that apply to any mathematics course. One example is based on understanding that mathematics is a course that requires homework to be completed in a timely fashion.
    • 3. Section- or Content-specific Student Success Tips Videos to help students avoid common mistakes or to better understand concept that often prove challenging.
  • Vocabulary, Readiness, and Video Check questions have been added to the start of every section’s exercise set:
    • The Vocabulary exercises quickly check students’ understanding of the new vocabulary words.
    • The Readiness exercises assess a students’ understanding of concepts that are necessary to continue with the exercise set.
    • Video Check questions for the Martin-Gay Interactive Lecture videos are now provided for each learning objective. These exercises are all available in MyMathLab and are a great way to ensure students have viewed and understood the key concepts presented in the videos. Each exercise in MyMathLab links students directly to the video for viewing.

New Student and Instructor Resources

  • The NEW Video Organizer is designed to help students take notes and work practice exercises while watching the Interactive lecture series (available in MyMathLab and on DVD).
    • All content in the Video Organizer is presented in the same order as it is presented in the videos, making it easy for students to create a course notebook and build good study habits.
    • The organizer provides ample space for students to write down key definitions and rules.
    • The Video Organizer is available in loose-leaf, notebook-ready format and is also available in MyMathLab.
  • Two MyMathLab course options are now available: a standard course and a Ready to Go course.
    • Standard MyMathLab courses allow instructors to build their course their way, offering maximum flexibility and complete control over all aspects of assignment creation.
    • The new Ready to Go courses provide students with all the same great MyMathLab features, but make it easier for instructors to get started. Each course includes pre-assigned homework and quizzes to make creating a course even easier.
  • Both course options will feature the following items:
    • All videos from the Martin-Gay Interactive Lecture Series.
    • Student Organizer (PDF) with hyperlinks to all video.
    • Pre-made (and pre-assigned in the Ready to Go course) section-level homework assignments.
    • Pre-made (and pre-assigned in the Ready to Go course) Practice Final Exam.
    • Pre-made (and pre-assigned in the Ready to Go course) Video Check assignments for every section.
    • Premade chapter review quizzes that are pre-assigned in the Ready to Go course and generate personalized homework assignments based on students’ quiz results.
    • Pre-made (and pre-assigned in the Ready to Go course) pre- and post-test for every chapter.

Contents

Preface

Applications Index

 

1. The Whole Numbers

1.1 Study Skill Tips for Success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding Whole Numbers and Perimeter

1.4 Subtracting Whole Numbers

1.5 Rounding and Estimating

1.6 Multiplying Whole Numbers and Area

1.7 Dividing Whole Numbers

            Integrated Review–Operations on Whole Numbers

1.8 An Introduction to Problem Solving

1.9 Exponents, Square Roots, and Order of Operations

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

 

2. Multiplying and Dividing Fractions

2.1 Introduction to Fractions and Mixed Numbers

2.2 Factors and Prime Factorization

2.3 Simplest Form of a Fraction

            Integrated Review–Summary on Fractions, Mixed Numbers, and Factors

2.4 Multiplying Fractions and Mixed Numbers

2.5 Dividing Fractions and Mixed Numbers

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiple

3.3 Adding and Subtracting Unlike Fractions

            Integrated Review–Operations on Fractions and Mixed Numbers

3.4 Adding and Subtracting Mixed Numbers

3.5 Order, Exponents, and the Order of Operations

3.6 Fractions and Problem Solving

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

4. Decimals

4.1 Introduction to Decimals

4.2 Order and Rounding

4.3 Adding and Subtracting Decimals

4.4 Multiplying Decimals and Circumference of a Circle

            Integrated Review–Operations on Decimals

4.5 Dividing Decimals and Order of Operations

4.6 Fractions and Decimals

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

5. Ratio, Proportion, and Percent

5.1 Ratio and Proportion

5.2 Introduction to Percent

5.3 Percents and Fractions

5.4 Solving Percent Problems Using Equations

5.5 Solving Percent Problems Using Proportions

            Integrated Review–Ratio, Proportion, and Percent

5.6 Applications of Percent

5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount

5.8 Percent and Problem Solving: Interest

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

6. Geometry

6.1 Lines and Angles

6.2 Plane Figures and Solids

6.3 Perimeter

6.4 Area

6.5 Volume

            Integrated Review–Geometry Concepts

6.6 Square Roots and the Pythagorean Theorem

6.7 Congruent and Similar Triangles

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

7. Statistics and Probability

7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

7.2 Reading Circle Graphs

            Integrated Review–Reading Graphs

7.3 Mean, Median, and Mode

7.4 Counting and Introduction to Probability

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

8. Real Numbers and Introduction to Algebra

8.1 Symbols and Sets of Numbers

8.2 Exponents, Order of Operations, and Variable Expressions

8.3 Adding Real Numbers

8.4 Subtracting Real Numbers

            Integrated Review–Operations on Real Numbers

8.5 Multiplying and Dividing Real Numbers

8.6 Properties of Real Numbers

8.7 Simplifying Expressions

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

9. Equations, Inequalities, and Problem Solving

9.1 The Addition Property of Equality

9.2 The Multiplication Property of Equality

9.3 Further Solving Linear Equations

            Integrated Review–Solving Linear Equations

9.4 Further Problem Solving

9.5 Formulas and Problem Solving

9.6 Percent and Mixture Problem Solving

9.7 Linear Inequalities and Problem Solving

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

10. Graphing Equations and Inequalities

10.1 The Rectangular Coordinate System

10.2 Graphing Linear Equations

10.3 Intercepts

10.4 Slope and Rate of Change

10.5 Equations of Lines

            Integrated Review–Summary on Linear Equations

10.6 Introduction to Functions

10.7 Graphing Linear Inequalities in Two Variables

10.8 Direct and Inverse Variation

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

11. Systems of Equations

11.1 Solving Systems of Linear Equations by Graphing

11.2 Solving Systems of Linear Equations by Substitution

11.3 Solving Systems of Linear Equations by Addition

            Integrated Review–Summary on Solving Systems of Equations

11.4 Systems of Linear Equations and Problem Solving

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

12. Exponents and Polynomials

12.1 Exponents

12.2 Negative Exponents and Scientific Notation

12.3 Introduction to Polynomials

12.4 Adding and Subtracting Polynomials

12.5 Multiplying Polynomials

12.6 Special Products

            Integrated Review–Exponents and Operations on Polynomials

12.7 Dividing Polynomials

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

13. Factoring Polynomials

13.1 The Greatest Common Factor and Factoring by Grouping

13.2 Factoring Trinomials of the Form x2 + bx + c

13.3 Factoring Trinomials of the Form ax2 + bx + c

13.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping

13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares

            Integrated Review–Choosing a Factoring Strategy

13.6 Solving Quadratic Equations by Factoring

13.7 Quadratic Equations and Problem Solving

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

14. Rational Expressions

14.1 Simplifying Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

14.4 Adding and Subtracting Rational Expressions with Different Denominators

14.5 Solving Equations Containing Rational Expressions

            Integrated Review–Summary on Rational Expressions

14.6 Rational Equations and Problem Solving

14.7 Simplifying Complex Fractions

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

15. Roots and Radicals

15.1 Introduction to Radicals

15.2 Simplifying Radicals

15.3 Adding and Subtracting Radicals

15.4 Multiplying and Dividing Radicals

            Integrated Review–Simplifying Radicals

15.5 Solving Equations Containing Radicals

15.6 Radical Equations and Problem Solving

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

16. Quadratic Equations and Nonlinear Graphs

16.1 Solving Quadratic Equations by the Square Root Property

16.2 Solving Quadratic Equations by Completing the Square

16.3 Solving Quadratic Equations by the Quadratic Formula

            Integrated Review–Summary on Solving Quadratic Equations

16.4 Graphing Quadratic Equations in Two Variables

16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions

            Group Activity

            Vocabulary Check

            Chapter Highlights

            Chapter Review

            Chapter Test

            Cumulative Review

 

Appendices

Appendix A: Further Algebraic Topics

A.1 Factoring Sums and Differences of Cubes

A.2 Sets and Compound Inequalities

A.3 Absolute Value Equations and Inequalities

A.4 The Distance and Midpoint Formulas

A.5 Writing Equations of Parallel and Perpendicular Lines

A.6 Nonlinear Inequalities in One Variable

A.7 Rational Exponents

A.8 Systems of Linear Inequalities

 

Appendix B: Tables

B.1 Table of Squares and Square Roots

B.2 Table of Percents, Decimals, and Fraction Equivalents

B.3 Compound Interest

 

Student Resources

Study Skills Builders

Bigger Picture–Study Guide Outline

Practice Final Exam

 

Answers to Selected Exercises

Video Answer Section

Subject Index

Photo Credits

 

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

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