Prealgebra, 1st edition

Published by Pearson (December 27, 2011) © 2013

  • Gary K. Rockswold Minnesota State University, Mankato
  • Terry A. Krieger Rochester Community and Technical College

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The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answers the common question “When will I ever use this?” Rockswold teaches students the math in context, rather than including the applications at the end of the presentation. By seamlessly integrating meaningful applications that include real data and supporting visuals (graphs, tables, charts, colors, and diagrams), students are able to see how math impacts their lives as they learn the concepts. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life.

Showing why math matters,with applications, visualization, and continuous reinforcement of concepts:

  • Chapter Openers include applications that motivate students by offering insight into the relevance of the mathematical concepts covered in each chapter.
  • New Vocabulary is listed at the start of every section, highlighting the math concepts that are introduced in that section. This gives students a glimpse of the big picture of the section and helps with test preparation.
  • A Look Into Math introduces each section with a practical application of the math topic students are about to learn.
  • The authors present math from multiple perspectives—verbal, graphical, numerical, and symbolic—throughout the text to support a variety of learning styles and problem-solving methods.
  • Making Connections occur throughout the text to help students see how previous concepts are related to new concepts.
  • Real-World Connection notes expand on specific math topics and their connections to the everyday world.
  • Putting It All Together boxes at the end of each section summarize techniques and reinforce the mathematical concepts presented in the section.

Exercise sets and end-of-chapter highlights

  • Multiple types of exercises throughout the text support the authors’ application-based, conceptual approach. These exercises are designed to reinforce the skills students need to move on to the next concept.
    • Now Try exercises follow every example for immediate reinforcement of the skills and concepts.
    • Reading Check questions appear alongside important concepts, ensuring that students understand the material they have just read. These are located throughout every section.
    • Checking Basic Concepts exercises appear after every other section and can be used for individual or group review. These exercises require 10–20 minutes to complete and are also appropriate for in-class work.
    • Writing about Mathematics exercises appear at the end of most sections. Students are asked to explain the concepts behind the mathematical procedures they just learned in their own words, encouraging true understanding instead of simple rote memorization.
    • Group Activities: Working with Real Data appear once or twice per chapter and provide an opportunity for students to work collaboratively on a problem that involves real-world data. Most activities can be completed with limited use of class time.
  • Comprehensive end-of-chapter material serves as an excellent resource for extra practice and test preparation. Each chapter concludes with a Chapter Summary, including a recap of the chapter’s Important Terms, Chapter Review Exercises, a Chapter Test, and Cumulative Review Exercises.

Study skills

  • Study Tips offer just-in-time suggestions to help students stay organized and focused on the material at hand.

Available Instructor and Student Resources

  • Objective-based Worksheets provide extra practice for every text section. Designed to be lab- and classroom-friendly, they offer:
    • Vocabulary review and practice problems.
    • A structured learning process to promote student success.
    • Extra practice exercises with ample space for students to show their work.
    • Opportunities to explore and compare multiple problem-solving methods through Understanding Concepts through Multiple Approaches.
  • Teaching Examples: in the Annotated Instructor’s Edition, every example in the text is paired with a teaching example that instructors can use in class to promote further understanding.

Highlights of the Rockswold MyMathLab® Course

NEW! 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 feature the following items:

  • Increased exercise coverage provides an assignable MyMathLab problem for almost every problem type from the text
  • Pre-made (and pre-assigned in the Ready to Go course) section-level homework assignments.
  • Pre-made chapter review quizzes that are pre-assigned in the Ready to Go course and generate personalized homework assignments based on students’ quiz results.
  • A Pre-made(and pre-assigned in the Ready to Go Course) pre- and post- test for every chapter.
  • Two new types of exercises are now assignable:
    • Concept and Vocabulary exercises provide true/false and fill-in-the blank exercises that assess students’ understanding of the definitions and concepts presented in each section.
    • Guided Solutions exercises walk students through the steps as they interact with the problem, helping them understand the reasoning behind it. Some of these exercises require students to use multiple methods—(algebraic, numerical, graphical, etc.)—to deepen understanding.
  • All Lecture Series Videos for every section of the text and Chapter Test Prep Videos are available within MyMathLab.
    • Video lectures are correlated directly to the content in each section of the text.
    • Material is presented in a format that stresses student interaction, often using examples from the text.
    • Video lectures include English captions.
    • The Chapter Test Prep Videos let students watch instructors work through step-by-step solutions to all the Chapter Test exercises from the textbook.  Chapter Test Prep videos are also available on YouTube™ (search using author name and book title).

1. Whole Numbers

1.1 Introduction to Whole Numbers

1.2 Adding and Subtracting Whole Numbers; Perimeter

1.3 Multiplying and Dividing Whole Numbers; Area

1.4 Exponents, Variables, and Algebraic Expressions

1.5 Rounding and Estimating; Square Roots

1.6 Order of Operations

1.7 More with Equations and Problem Solving

Summary - Review Exercises - Test

 

2. Integers

2.1 Integers and the Number Line

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations; Averages

2.6 Solving Equations with Integer Solutions

Summary - Review Exercises - Test

Chapters 1-2 Cumulative Review

 

3. Algebraic Expressions And Linear Equations

3.1 Simplifying Algebraic Expressions

3.2 Translating Words to Equations

3.3 Properties of Equality

3.4 Solving Linear Equations

3.5 Applications and Problem Solving

Summary - Review Exercises - Test

Chapters 1-3 Cumulative Review

 

4. Fractions

4.1 Introduction to Fractions and Mixed Numbers

4.2 Prime Factorization and Lowest Terms

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions-Like Denominators

4.5 Adding and Subtracting Fractions-Unlike Denominators

4.6 Operations on Mixed Numbers

4.7 Complex Fractions and Order of Operations

4.8 Solving Equations Involving Fractions

Summary - Review Exercises - Test

Chapters 1-4 Cumulative Review

 

5. Decimals

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying and Dividing Decimals

5.4 Real Numbers, Square Roots, and Order of Operations

5.5 Solving Equations Involving Decimals

5.6 Applications from Geometry and Statistics

Summary - Review Exercises - Test

Chapters 1-5 Cumulative Review

 

6. Ratios, Proportions, And Measurement

6.1 Ratios and Rates

6.2 Proportions and Similar Figures

6.3 The American System of Measurement

6.4 The Metric System of Measurement

6.5 American-Metric Conversions; Temperature

6.6 Time and Speed

Summary - Review Exercises - Test

Chapters 1-6 Cumulative Review

 

7. Percents

7.1 Introductions to Percents; Circle Graphs

7.2 Using Equations to Solve Percent Problems

7.3 Using Proportions to Solve Percent Problems

7.4 Applications Sales Tax, Discounts, and Net Pay

7.5 Applications Simple and Compound Interest

7.6 Probability and Percent Chance

Summary - Review Exercises - Test

Chapters 1-7 Cumulative Review

 

8. Exponents And Polynomials

8.1 Rules for Exponents

8.2 Negative Exponents and Scientific Notation

8.3 Adding and Subtracting Polynomials

8.4 Multiplying and Factoring Polynomials

Summary - Review Exercises - Test

Chapters 1-8 Cumulative Review

 

9. Introduction To Graphing

9.1 The Rectangular Coordinate System

9.2 Graphing Linear Equations in Two Variables

9.3 Graphical Solutions to Linear Equations

9.4 Solving Applications Using Graphs

Summary - Review Exercises - Test

Chapters 1-9 Cumulative Review

 

10. Geometry

10.1 Plane Geometry; Points, Lines and Angles

10.2 Triangles

10.3 Polygons and Circles

10.4 Perimeter and Circumference

10.5 Area, Volume, and Surface Area

Summary - Review Exercises - Test

Chapters 1-10 Cumulative Review

 

Appendix Using the Graphing Calculator

Answers to Selected Exercises

Glossary

Photo Credits

Index

Gary Rockswold has been a professor and teacher of mathematics, computer science, astronomy, and physical science for over 35 years. He has taught not only at the undergraduate and graduate college levels, but he has also taught middle school, high school, vocational school, and adult education. He received his BA degree with majors in mathematics and physics from St. Olaf College and his Ph.D. in applied mathematics from Iowa State University. He has been a principal investigator at the Minnesota Supercomputer Institute, publishing research articles in numerical analysis and parallel processing and is currently an emeritus professor of mathematics at Minnesota State University, Mankato. He is an author for Pearson Education and has over 10 current textbooks at the developmental and precalculus levels. His developmental coauthor and friend is Terry Krieger. They have been working together for over a decade. Making mathematics meaningful for students and professing the power of mathematics are special passions for Gary. In his spare time he enjoys sailing, doing yoga, and spending time with his family.

Additional information about Gary Rockswold can be found at www.garyrockswold.net.

Terry Krieger has taught mathematics for 18 years at the middle school, high school, vocational, community college and university levels. His undergraduate degree in secondary education is from Bemidji State University in Minnesota, where he graduated summa cum laude. He received his MA in mathematics from Minnesota State University - Mankato. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer. Terry is currently teaching at Rochester Community and Technical College in Rochester, Minnesota. He has been involved with various aspects of mathematics textbook publication for more than 14 years and has joined his friend Gary Rockswold as coauthor of a developmental math series published by Pearson Education. In his free time, Terry enjoys spending time with his wife and two boys, physical fitness, wilderness camping, and trout fishing.

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