Developmental Mathematics: College Mathematics and Introductory Algebra, 9th edition

Published by Pearson (December 24, 2014) © 2016

  • Marvin L. Bittinger Indiana University Purdue University Indianapolis
  • Judith A. Beecher Indiana University Purdue University Indianapolis
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Objective: Guided Learning

The Bittinger Worktext Series recognizes that math hasn’t changed, but students—and the way they learn math—have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.

The new edition supports students with quality applications and exercises, a new MyMathGuide workbook and video program, and an updated MyMathLab course that brings it all together!


Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

0134115864 / 9780134115863     Developmental Mathematics Plus MyMathLab with Pearson eText -- Access Card Package
Package consists of:0321431308 / 9780321431301     MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069     MyMathLab Inside Star Sticker0321997174 / 9780321997173     Developmental Mathematics

Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Guide Students’ Learning—Students are encouraged to use Your Guide to Success in Math, a four-step Learning Path and checklist available in the front of the text and incorporated into the Ready to Go MyMathLab courses. The guide will help students identify the resources in the textbook, supplements, and MyMathLab that support their learning style.

  • Step 1: Learn the Skills and Concepts—Students have several options for learning and practicing the math concepts.
    • NEW!Skills Checks. In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice.
    • Textbook / eText. The textbook or eText is a great starting point for students to learn the material. It includes the hallmark Bittinger pedagogy with Skill to Review exercises at the start of each section, and  Margin Exercises, plus NEW! Guided Solutions. The Guided Solution exercises are select margin exercises within the text that allow students to fill-in the blanks to learn how to work through the problem. These problem types are also assignable in MyMathLab, where the exercises are broken down into smaller steps for students to fill-in as they work through the problem.
    • The NEW! To-the-Point Objective Videos and NEW! MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material.
  • Step 2: Check Your Understanding—Students have frequent opportunities to check their work and confirm that they understand skills and concepts before moving on:
    • NEW!Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab.
    • NEW! Active Learning Figuresare also a great resource to help students understand the concepts.
  • Step 3: Do Your Homework—The text andMyMathLab courses have a wealth of proven and updated exercises, including the new assignable exercises in MyMathLab described above.
  • Step 4: Review and Test Your Understanding—Students have a variety of resources to check their skills and understanding along the way and to help them prepare for tests.
    • In the text, Mid-Chapter Reviews, Chapter Summary and Review, Chapter Tests, and Cumulative Reviewsoffer students regular, comprehensive review and reinforcement.  Chapter Test Prep Videos are also available to show worked-out solutions to all the end-of-chapter tests. These are accessible in MyMathLab and on YouTube.
    • In MyMathLab, instructors can assign prebuilt tests or create paper tests using TestGen Software.

Reinforce Study Skills—Developing solid time-management, note-taking, test-taking, and other study skills is key to student success in math courses (as well as professionally and personally). Instructors can direct students to related study skills resources as needed.

  • NEW!Student Study Reference. This pull-out card at the front of the text is perforated, three-hole-punched, and binder-ready for convenient reference. It includes Your Guide to Success in Math course checklist, Student Organizer, and At a Glance (a list of key information and expressions for quick reference as students work exercises and review for tests).
  • NEW!Studying for Success. Checklists of study skills—designed to ensure that students develop the skills they need to succeed in math, school, and life—are integrated throughout the text at the beginning of selected sections.
  • NEW!Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas: 
    • Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns. 
    • Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
    • College Success, including topics such as College Transition and Online Learning.
    • Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.

Also available with MyMathLab®: the Bittinger courses include all of MyMathLab’s robust features, plus these additional highlights.

  • NEW! Two MyMathLab course options are now available:
    • Standard MyMathLab courses allow instructors to build their courses their way, offering maximum flexibility and control over all aspects of assignment creation. 
    • NEW! Ready to Go courses provide students with all the same great MyMathLab features, but also make it easier for instructors to get started with pre-built AND pre-assigned assignments. The Ready to Go courses also feature a new four-step Learning Path: 1.) Learn the Skills and Concepts, 2.) Check Your Understanding, 3.) Do Your Homework, 4.) Review and Test Your Understanding.
  • NEW! Increased coverage of skill-building, conceptual, and applications exercises, as well as new assignable Guided-Solution exercises, Skill Checks (in the Ready to Go Courses), and Reading Checks.
  • NEW! Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures.
  • NEW! Bittinger Video Program includes all new To-the-Point Objective Videos and Chapter Test Prep Videos. To-the-Point Objective Videos include new Interactive Your Turn Exercises, where students solve exercises and receive instant feedback on their work.  The videos also can be used hand-in-hand with the new MyMathGuide workbook.
  • NEW! MyMathGuide: Notes, Practice, and Video Path is an objective-based workbook (available in print and in MyMathLab) that provides guided, hands-on learning. It offers vocabulary, skill, and concept review —along with problem-solving practice, where students can fill-in the steps to guided solution problems. It can be used together with the To-the-Point Objective Video program—and students can fill-in steps as they watch the videos, listen to the instructor lecture, or read the textbook. It is a loose-leaf workbook with space to show work, write notes, and can serve as a good foundation for a hybrid or self-paced course notebook or lecture notes. MyMathGuide is incorporated into the Learning Path of the Ready to Go courses.
  • Accessibility Enhancements continue Pearson’s commitment to make products accessible to as many students as possible. This latest course release is compatible with the JAWS screen reader enabling print-disabled students to access and interact with numerous problems as noted by an icon within the assignment manager. The course also works with the ZoomText enlarger, and includes an HTML eBook that is compatible with JAWS and other Windows screen readers, allowing all students to access the same text, at the same place, and at the same price. Additionally, all videos include closed captioning.

Guide Students’ Learning
  • Skills Checks. In the Learning Path for Ready to Go MyMathLab courses, each chapter begins with a brief assignment on the prerequisite skills needed for the chapter, giving students the chance to refresh and practice.
  • To-the-Point Objective Videos and MyMathGuide: Notes, Practice, and Video Path workbook are also the perfect resources for helping students learn the material.
  • Reading Checks at the beginning of each set of section exercises in the text ask students to demonstrate that they understand the material. They are incorporated in the Ready to Go Learning Path in MyMathLab and assignable in MyMathLab.
  • Active Learning Figuresare also a great resource to help students understand the concepts.

Reinforce Study Skills

  • Student Study Reference. This pull-out card at the front of the text is perforated, three-hole-punched, and binder-ready for convenient reference. It includes Your Guide to Success in Math course checklist, Student Organizer, and At a Glance (a list of key information and expressions for quick reference as students work exercises and review for tests).
  • Studying for Success. Checklists of study skills—designed to ensure that students develop the skills they need to succeed in math, school, and life—are integrated throughout the text at the beginning of selected sections.
  • Student Success Module in MyMathLab. This new, interactive module is available in the left-hand navigation of MyMathLab and includes videos, activities, and post-tests for these three student success areas:
    • Math-Reading Connections, including topics such as Using Word Clues, and Looking for Patterns.
    • Study Skills, including topics such as Time Management and Preparing for and Taking Exams.
    • College Success, including topics such as College Transition and Online Learning.
    • Instructors can assign these videos and/or activities as media assignments, along with pre-built post-tests to make sure students learn and understand how to improve their skills in these areas. Instructors can integrate these assignments with their traditional MyMathLab homework assignments to incorporate student success topics into their course as they deem appropriate.

Improve Results With MyMathLab®: the Bittinger courses include all of MyMathLab’s robust features, plus these additional highlights.

  • Two MyMathLab course options are now available:
    • Standard MyMathLab courses allow instructors to build their courses their way, offering maximum flexibility and control over all aspects of assignment creation. 
    • Ready to Go courses provide students with all the same great MyMathLab features, but also make it easier for instructors to get started with pre-built AND pre-assigned assignments. The Ready to Go courses also feature a new four-step Learning Path: 1.) Learn the Skills and Concepts, 2.) Check Your Understanding, 3.) Do Your Homework, 4.) Review and Test Your Understanding.
  • Increased coverage of skill-building, conceptual, and applications exercises, as well as new assignable Guided-Solution exercises, Skill Checks (in the Ready to Go courses), and Reading Checks.
  • Active Learning Figures, available for key concepts, foster conceptual understanding and are especially helpful for visual and tactile learners. Instructors can create media assignments with the figures.
  • Bittinger Video Program includes all new To-the-Point Objective Videos and Chapter Test Prep Videos. To-the-Point Objective Videos include new Interactive Your Turn Exercises, where students solve exercises and receive instant feedback on their work.  The videos also can be used hand-in-hand with the new MyMathGuide workbook.
  • MyMathGuide: Notes, Practice, and Video Path is an objective-based workbook (available in print and in MyMathLab) that provides guided, hands-on learning. It offers vocabulary, skill, and concept review —along with problem-solving practice, where students can fill-in the steps to guided solution problems. It can be used together with the To-the-Point Objective Video program—and students can fill-in steps as they watch the videos, listen to the instructor lecture, or read the textbook. It is a loose-leaf workbook with space to show work, write notes, and can serve as a good foundation for a hybrid or self-paced course notebook or lecture notes. MyMathGuide is incorporated into the Learning Path of the Ready to Go courses.

1. Whole numbers

1.1 Standard Notation; Order

1.2 Addition and Subtraction

1.3 Multiplication and Division; Rounding and Estimating

1.4 Solving Equations

            Mid-Chapter Review

1.5 Applications and Problem Solving

            Translating for Success

1.6 Exponential Notation and Order of Operations

1.7 Factorizations

1.8 Divisibility

1.9 Least Common Multiples

            Summary and Review

            Test

 

2. Fraction Notation

2.1 Fraction Notation and Simplifying 

2.2 Multiplication and Division

2.3 Addition and Subtraction; Order

            Mid-Chapter Review

2.4 Mixed Numerals

2.5 Applications and Problem Solving

            Translating for Success

2.6 Order of Operations and Estimation

            Summary and Review

            Test

 

3. Decimal Notation

3.1 Decimal Notation, Order, and Rounding

3.2 Addition and Subtraction

3.3 Multiplication

3.4 Division

            Mid-Chapter Review

3.5 Converting from Fraction Notation to Decimal Notation

3.6 Estimating

3.7 Applications and Problem Solving

            Translating for Success

            Summary and Review

            Test

 

4. Percent Notation

4.1 Ratio and Proportion

4.2 Percent Notation

4.3 Percent Notation and Fraction Notation

4.4 Solving Percent Problems Using Percent Equations

4.5 Solving Percent Problems Using Proportions

            Mid-Chapter Review

4.6 Applications of Percent

            Translation for Success

4.7 Sales Tax, Commission, and Discount

4.8 Simple Interest and Compound Interest; Credit Cards

            Summary and Review

            Test

 

5. Data, Graphs, and Statistics

5.1 Averages, Medians, and Modes

5.2 Interpreting Data from Tables and Graphs

            Mid-Chapter Review

5.3 Interpreting and Drawing Bar Graphs and Line Graphs

5.4 Interpreting and Drawing Circle Graphs

            Translating for Success

            Summary and Review

            Test

 

6. Geometry

6.1 Basic Geometric Figures

6.2 Perimeter

6.3 Area

6.4 Circles

            Mid-Chapter Reviews

6.5 Volume and Surface Area

6.6 Relationships Between Angle Measures

6.7 Congruent Triangles and Properties of Parallelograms

6.8 Similar Triangles

            Translating for Success

            Summary and Review

            Test

 

7. Introduction to Real Numbers and Algebraic Expressions

7.1 Introduction to Algebra

7.2 The Real Numbers

7.3 Addition of Real Numbers

7.4 Subtraction of Real Numbers

            Mid-Chapter Review

7.5 Multiplication of Real Numbers

7.6 Division of Real Numbers

7.7 Properties of Real Numbers

7.8 Simplifying Expressions; Order of Operations

            Summary and Review

            Test

 

8. Solving Equations and Inequalities

8.1 Solving Equations: The Addition Principle

8.2 Solving Equations: The Multiplication Principle

8.3 Using the Principles Together

8.4 Formulas

            Mid-Chapter Review

8.5 Applications of Percent

8.6 Applications and Problem Solving

            Translating for Success

8.7 Solving Inequalities

8.8 Applications and Problem Solving with Inequalities

            Summary and Review

            Test

 

9. Graphs of Linear Equations

9.1 Graphs and Applications of Linear Equations

9.2 More with Graphing and Intercepts

            Visualizing for Success

9.3 Slope and Applications

9.4 Equations of Lines

            Mid-Chapter Review

9.5 Graphing Using the Slope and the y-Intercept

9.6 Parallel Lines and Perpendicular Lines

9.7 Graphing Inequalities in Two Variables

            Visualizing for Success

            Summary and Review

            Test

 

10. Polynomials: Operations

10.1 Integers as Exponents

10.2 Exponents and Scientific Notation

10.3 Introduction to Polynomials

10.4 Addition and Subtraction of Polynomials

            Mid-Chapter Review

10.5 Multiplication of Polynomials

10.6 Special Products

            Visualizing for Success

10.7 Operations with Polynomials in Several Variables

10.8 Division of Polynomials

            Summary and Review

            Test

 

11. Polynomials: Factoring

11.1 Introduction to Factoring

11.2 Factoring Trinomials of the Type x2 + bx + c

11.3 Factoring ax2 + bx + c, a ≠ 1: the FOIL Method

11.4 Factoring ax2 + bx + c, a ≠ 1: the ac-Method

            Mid-Chapter Review

11.5 Factoring Trinomial Squares and Differences of Squares

11.6 Factoring: A General Strategy

11.7 Solving Quadratic Equations by Factoring

11.8 Applications of Quadratic Equations

            Translating for Success

            Summary and Review

            Test

 

12. Rational Expressions and Equations

12.1 Multiplying and Simplifying Rational Expressions

12.2 Division and Reciprocals

12.3 Least Common Multiples and Denominators

12.4 Adding Rational Expressions

12.5 Subtracting Rational Expressions

            Mid-Chapter Review

12.6 Complex Rational Expressions

12.7 Solving Rational Equations

12.8 Applications Using Rational Equations and Proportions

            Translating for Success

12.9 Direct Variation and Inverse Variation

            Summary and Review

            Test

 

13. Systems of Equations

13.1 Systems of Equations in Two Variables

13.2 The Substitution Method

13.3 The Elimination Method

            Mid-Chapter Review

13.4 Applications and Problem Solving

13.5 Applications with Motion

            Translating for Success

            Summary and Review

            Test

 

14. Radical Expressions and Equations

14.1 Introduction to Radical Expressions

14.2 Multiplying and Simplifying with Radical Expressions

14.3 Quotients Involving Radical Expressions

            Mid-Chapter Review

14.4 Addition, Subtraction, and More Multiplication

14.5 Radical Equations

14.6 Applications with Right Triangles

            Translating for Success

            Summary and Review

            Test

 

15. Quadratic Equations

15.1 Introduction to Quadratic Equations

15.2 Solving Quadratic Equations by Completing the Square

15.3 The Quadratic Formula

            Mid-Chapter Review

15.4 Formulas

15.5 Applications and Problem Solving

            Translating for Success

15.6 Graphs for Quadratic Equations

            Visualizing for Success

15.7 Functions

            Summary and Review

            Test

 

Appendixes

A. Linear Measures: American Units and Metric Units

B. Weight and Mass; Medical Applications

C. Capacity; Medical Applications

D. Time and Temperature

E. Sets

F. Factoring Sums or Differences of Cubes

G. Finding Equations of Lines: Point-Slope Equation

H. Equations Involving Absolute Value

I. The Distance Formula and Midpoints

J. Higher Roots, and Rational Numbers as Exponents

K. Inequalities and Interval Notation

L. Nonlinear Inequalities

M. Systems of Linear Inequalities

N. Probability

O. The Complex Numbers

 

Answers

Guided Solutions

Glossary

Index

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University—Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 30  years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate.

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