Developmental Mathematics

Series
Pearson
Author
Marvin L. Bittinger / Judith A Beecher  
Publisher
Pearson
Cover
Softcover
Edition
8
Language
English
Total pages
1288
Pub.-date
November 2013
ISBN13
9781292040165
ISBN
1292040165
Related Titles


Product detail

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9781292040165
Developmental Mathematics
106.40 approx. 7-9 days

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Description

The Bittinger Worktext Series changed the face of developmental education with the introduction of objective-based worktexts that presented math one concept at a time. This approach allowed students to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting students with quality applications, exercises, and new review and study materials to help them apply and retain their knowledge.

Features

Objective: An Interactive, User-Friendly Textbook

  • NEW! A fresh design enhances the Bittinger approach to guided learning. Margin exercises are now grouped by example for easier navigation, and the answers are given at the bottom of the page for immediate feedback.
  • Objective Boxes begin each section. A boxed list of objectives is keyed by letter not only to section subheadings, but also to the section exercise sets and the Mid-Chapter Review and the Summary and Review exercises, as well as to the answers to the questions in the Chapter Tests and Cumulative Review. This correlation enables students to easily find appropriate review material if they need help with a particular exercise of skill at the objective level.
  • Annotated Examples provide notes from the authors with color highlights to lead the student through the structured steps of the examples. The level of detail in these annotations is a significant reason for students’ success with this book.
  • Margin Exercises accompany examples throughout the text and give students the opportunity to work similar problems for immediate practice and reinforcement of the concept just learned. Answers are now available at the bottom of the page.

Objective: Conceptual Understanding

  • Synthesis Exercises help build critical-thinking skills by requiring students to use skills and concepts from the current section along with those from previous sections. These are available in most exercise sets.
  • Translating for Success problem sets give extra practice with the important "Translate" step of solving word problems.
  • Visualizing for Success problem sets ask students to match equations and inequalities with their graphs, allowing them to recognize the important characteristics of the equation and visualize the corresponding attributes of its graph.

Objective: Review and Reinforcement of Key Skills and Concepts

  • NEW! Skill to Review exercises, linked to section objectives, offer just-in-time review of previously presented skills that students will need to learn new material. Section references for convenient studying are followed by two practice exercises for immediate review and reinforcement. Answers to these exercises are given at the bottom of the page for immediate feedback.
  • Skill Maintenance Exercises, found in each exercise set, review concepts from other sections in the text to prepare students for tests. Section and objective codes appear next to each exercise for easy reference.
  • NEW! A Mid-Chapter Review gives students the opportunity to reinforce their understanding of the mathematical skills and concepts before moving on to new material. Section and objective references are included for convenient studying.
    • Concept Reinforcement are true/false questions that enhance student understanding of mathematical concepts. This exercise type is also available in the Summary and Review at the end of the chapter.
    • Guided Solutions are worked-out problems with blanks for students to fill in the correct expression to complete the solution.
    • Mixed Review provides free response exercises, similar to those in the preceding sections in the chapter, reinforcing mastery of skills and concepts.
    • Understanding through Discussion and Writing lets students demonstrate their understanding of mathematical concepts by expressing their thoughts in spoken and written form. This exercise type is also found in the Summary and Review at the end of the chapter.
  • Revised! The Chapter Summary and Review at the end of each chapter is expanded to provide more comprehensive in-text practice and review.
    • Key Terms, Properties, and Formulas are highlighted, with page references for convenient review.
    • Concept Reinforcement offers true-false questions to enhance student understanding of mathematical concepts.
    • Important Concepts are listed by section objectives, followed by a worked-out example for reference and review and a similar practice exercise for students to solve.
    • Review Exercises covering the whole chapter are organized by objective.
    • Understanding through Discussion and Writing exercises strengthen understanding by giving students a chance to express their thoughts in spoken or written form.
    • Chapter Tests allow students to review and test comprehension of chapter skills prior to taking an instructor’s exam. Answers to all questions in the Chapter Test are given at the back of the book. Section and objective references for each question are included with the answers.
    • NEW! Cumulative Review now occurs after every chapter starting with Chapter 3, revisiting skills and concepts from all preceding chapters to help students recall previously learned material and prepare for exams. Answers to all Cumulative Review exercises are coded by section and objective at the back of the book to help students identify areas where additional practice is needed.

Objective: Study Skills Support

  • The Bittinger Student Organizer card at the front of the text helps students keep track of important contacts and dates and provides a weekly planner to help schedule time for classes, studying, and homework. A helpful list of study tips found in each chapter is also included.
  • Study Tips appear throughout the text to give students pointers on how to develop good study habits as they progress through the course, encouraging students to get involved in the learning process.

Objective: Understanding the Relevance of Mathematics

  • Chapter Openers feature a motivating real-world application revisited later in the chapter to engage students and prepare them for the upcoming chapter material.
  • Updated Real-Data Applications encourage students to see and interpret the mathematics that appears every day in the world around them. Over 700 applications are new to this edition, and many are drawn from the fields of business and economics, life and physical sciences, social sciences, and areas of general interest such as sports and daily life.

 

New to this Edition

New and Updated Features

  • Skill to Review exercises, linked to section objectives, offer just-in-time review of previously presented skills that students will need to learn new material. Section references for convenient studying are followed by two practice exercises for immediate review and reinforcement. Answers to these exercises are given at the bottom of the page for immediate feedback.
  • A fresh design enhances the Bittinger guided learning approach. Margin exercises are now grouped by example for easier navigation, and the answers are given at the bottom of the page for immediate feedback.
  • A Mid-Chapter Review gives students the opportunity to reinforce their understanding of the mathematical skills and concepts before moving on to new material. Section and objective references are included for convenient studying.
    • Concept Reinforcement are true/false questions that enhance student understanding of mathematical concepts. These are also available in the Summary and Review at the end of the chapter.
    • Guided Solutions are worked-out problems with blanks for students to fill in the correct expression to complete the solution.
    • Mixed Review provides free response exercises, similar to those in the preceding sections in the chapter, reinforcing mastery of skills and concepts.
    • Understanding through Discussion and Writing lets students demonstrate their understanding of mathematical concepts by expressing their thoughts in spoken and written form. This exercise type is also found in the Summary and Review at the end of the chapter.
  • Revised! The Chapter Summary and Review at the end of each chapter is expanded to provide more comprehensive in-text practice and review.
    • Key Terms, Properties, and Formulas are highlighted, with page references for convenient review.
    • Concept Reinforcement offers true-false questions to enhance student understanding of mathematical concepts.
    • Important Concepts are listed by section objectives, followed by a worked-out example for reference and review and a similar practice exercise for students to solve.
    • Review Exercises covering the whole chapter are organized by objective.
    • Understanding through Discussion and Writing exercises strengthen understanding by giving students a chance to express their thoughts in spoken or written form.
    • Chapter Tests allow students to review and test comprehension of chapter skills prior to taking an instructor’s exam. Answers to all questions in the Chapter Test are given at the back of the book. Section and objective references for each question are included with the answers.
    • Cumulative Review now occurs after every chapter starting with Chapter 3, revisiting skills and concepts from all preceding chapters to help students recall previously learned material and prepare for exams. Answers to all Cumulative Review exercises are coded by section and objective at the back of the book to help students identify areas where additional practice is needed.

New and Updated Student and Instructor Resources

  • Worksheets for Classroom or Lab Practice offer extra practice exercises for every section of the text, with ample space for students to show their work. These lab- and classroom-friendly workbooks also list the learning objectives and key vocabulary terms for every text section, along with vocabulary practice problems.
  • The Instructor Resource Manual includes resources and teaching tips designed to help new and adjunct faculty with course preparation and classroom management. In addition to conversion guides, extra practice problems, and resource indices, this manual now includes section mini-lectures and collaborative learning activities.
  • The updated Bittinger video program offers lectures for each section of the text and Chapter Test Prep Videos that allow students to watch instructors work through step-by-step solutions to all the Chapter Test exercises from the textbook.
    • Section Lectures and Chapter Test Prep Videos are available on the Video Resources on DVD and in MyMathLab®.
    • Optional English and Spanish captioning is available for both the lectures and the Chapter Test Prep Videos.
    • Chapter Test Prep Videos are also available on YouTube™ (search for “Bittinger Basic Mathematics”).
  • Enhancements to MyMathLab include the following:
    • New math games help students practice math skills in a fun, interactive environment.
    • Premade homework assignments will be available for each section of the text.  In additional to the section-level premade assignments, the Bittinger MyMathLab courses will also include premade mid-chapter review assignments for each chapter.
    • Interactive Translating for Success matching activities help students learn to associate word problems (through translation) with their appropriate mathematical equations. These activities are now assignable.
    • Interactive Visualizing for Success activities ask students to match equations and inequalities with their graphs, allowing them to recognize the important characteristics of the equation and visualize the corresponding attributes of its graph. These activites are now assignable.
    • Concept Videos illustrate the most difficult math topics in a visually appealing and accessible manner.
    • The English/Spanish Audio Glossary allows students to see key mathematical terms and hear their definitions in either English or Spanish.

Content Changes

  • Sections 4.7 and 4.8 have been revised so that coverage of interest and its application to credit cards has been condensed into section 4.8, Simple Interest and Compound Interest; Credit Cards.
  • Appendices have been heavily revised based on reviewer feedback. The new appendices are as follows:
    • K. Inequalities and Interval Notation
    • L. Nonlinear Inequalities
    • M. Systems of Linear Inequalities
    • N. Probability
    • O. Complex Numbers

Table of Contents

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

1.5 Applications and Problem Solving

1.6 Exponential Notation and Order of Operations

1.7 Factorizations

1.8 Divisibility

1.9 Least Common Multiples

 

2. Fraction Notation

2.1 Fraction Notation and Simplifying

2.2 Multiplication and Division

2.3 Addition and Subtraction; Order

2.4 Mixed Numerals

2.5 Applications and Problem Solving

2.6 Order of Operations; Estimation

 

3. Decimal Notation

3.1 Decimal Notation, Order, and Rounding

3.2 Addition and Subtraction

3.3 Multiplication

3.4 Division

3.5 Converting from Fraction Notation to Decimal Notation

3.6 Estimating

3.7 Applications and Problem Solving

 

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

4.6 Applications of Percent

4.7 Sales Tax, Commission, and Discount

4.8 Simple Interest and Compound Interest; Credit Cards

 

5. Data, Graphs, and Statistics

5.1 Averages, Medians, and Modes

5.2 Tables and Pictographs

5.3 Bar Graphs and Line Graphs

5.4 Circle Graphs

 

6. Geometry

6.1 Basic Geometric Figures

6.2 Perimeter

6.3 Area

6.4 Circles

6.5 Volume and Surface Area

6.6 Relationships Between Angle Measures

6.7 Congruent Triangles and Properties of Parallelograms

6.8 Similar Triangles

 

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

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

 

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

8.5 Applications of Percent

8.6 Applications and Problem Solving

8.7 Solving Inequalities

8.8 Applications and Problem Solving with Inequalities

 

9. Graphs of Linear Equations

9.1 Graphs and Applications of Linear Equations

9.2 More with Graphing and Intercepts

9.3 Slope and Applications

9.4 Equations of Lines

9.5 Graphing Using the Slope and the y-intercept

9.6 Parallel and Perpendicular Lines

9.7 Graphing Inequalities in Two Variables

 

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

10.5 Multiplication of Polynomials

10.6 Special Products

10.7 Operations with Polynomials in Several Variables

10.8 Division of Polynomials

 

11. Polynomials: Factoring

11.1 Introduction to Factoring

11.2 Factoring Trinomials of the type x∼ + bx + c

11.3 Factoring ax∼ + bx + c, a ≠ 1; The FOIL Method

11.4 Factoring ax∼ + bx + c, a ≠ 1; The ac-Method

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

 

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

12.6 Solving Rational Equations

12.7 Applications Using Rational Equations and Proportions

12.8 Complex Rational Expressions

12.9 Direct Variation and Inverse Variation

 

13. Systems of Equations

13.1 Systems of Equations in Two Variables

13.2 The Substitution Method

13.3 The Elimination Method

13.4 Applications and Problem Solving

13.5 Applications with Motion

 

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

14.4 Addition, Subtraction, and More Multiplication

14.5 Radical Equations

14.6 Applications with Right Triangles

 

15. Quadratic Equations

15.1 Introduction to Quadratic Equations

15.2 Solving Quadratic Equations by Completing the Square

15.3 The Quadratic Formula

15.4 Formulas

15.5 Applications and Problem Solving

15.6 Graphs of Quadratic Equations

15.7 Functions

 

Appendices

A. Linear Measures: American and Metric Units

B. Weight and Mass: Medical Applications

C. Capacity; Medical Applications

D. Time and Temperature

E. Sets

F. Factoring Sums and 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. Complex Numbers