Prealgebra, 1st edition

Published by Pearson (March 15, 2012) © 2013

  • Kirk Trigsted University of Idaho
  • Randall Gallaher
  • Kevin Bodden

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  • The Trigsted eText is designed for the way students think and behave online. Students are engaged and motivated through timely hyperlinks to definitions, videos, and animations. The authors scripted and created all multimedia learning aids to provide a consistent voice throughout all resources.
    • The eText is formatted to fit the screen without scrolling, and a cream-colored background enhances readability of the eText.
    • Review links throughout the text help students refresh and recall key concepts. Just-in-time hyperlinks let students access vocabulary definitions, prerequisite skills, and multimedia learning aids.
    • Interactive animations require student participation in content often covered through long explanations in traditional textbooks. The authors believe students should not be idle when viewing media, especially when it presents key concepts. All of the videos and animations were scripted and created by the authors to maintain a consistent voice.
    • Video Animations show the authors animating each chapter’s most difficult concepts directly on screen to capture students’ interest and create an active learning environment.
    • Videos and Interactive Videos cover important examples, concepts, and procedures. Interactive videos prompt students to make decisions during the solution process, engaging them in active learning.  
    • The Read Me feature allows auditory learners to listen to the authors reading the text.
  • The Task List in the Trigsted MyMathLab course provides students with a strategy to navigate each section successfully. It reminds students that the first step in doing homework is reading the eText! This is followed by (#2) assignable Reading Assessment Questions, (#3) practice exercises, and (#4) homework exercises.
  • Reading Assessment Questions, assignable in the Trigsted MyMathLab course, allow instructors to assign reading! Students are given customized feedback on incorrect answers that include links back to the eText for easy reference.
  • Additional support resources are also available to accompany this eText.
    • The eText Reference is a spiral-bound, printed version of the eText that provides a place for students to do practice work and summarize key concepts from the online videos and animations. In addition to the benefits it provides students, the eText Reference is also a nice resource for those instructors that prefer a printed text for class preparation.
    • The Guided Notebook is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found within MyMathLab.
    • PowerPoint® slides provide an outline to use in a lecture setting, presenting definitions and key examples from the text.
    • TestGen® www.pearsoned.com/testgen software enables instructors to build, edit, print, and administer tests using a computerized bank of questions developed to cover all the objectives of the text.
    • The Mini-Guide shows how other instructors from across the country are using Trigsted and MyMathLab with great results!
  • Two MyMathLab course options are available for Prealgebra: a standard course and a Ready to Go course.
    • The Standard MyMathLab course allows instructors to build their course their way, offering maximum flexibility and complete control over all aspects of assignment creation. 
    • The Ready to Go course option provides students with all the same great MyMathLab features, but makes it easier for instructors to get started. It includes pre-assigned homework and quizzes to make creating a course even easier.

1. Whole Numbers

1.1 Study Tips for This Course

1.2 Introduction to Whole Numbers

1.3 Adding and Subtracting Whole Numbers; Perimeter

1.4 Multiplying Whole Numbers; Area

1.5 Dividing Whole Numbers

1.6 Exponents and Order of Operations

1.7 Introduction to Variables, Algebraic Expressions, and Equations

 

2. Integers and Introduction to Solving Equations

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

 

3. Solving Equations and Problem Solving

3.1 Simplifying Algebraic Expressions

3.2 Revisiting the Properties of Equality

3.3 Solving Linear Equations in One Variable

3.4 Using Linear Equations to Solve Problems

 

4. Fractions and Mixed Numbers

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Fractions

4.5 Complex Fractions and Review of Order of Operations

4.6 Operations on Mixed Numbers

4.7 Solving Equations Containing Fractions

 

5. Decimals

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals; Circumference

5.4 Dividing Decimals

5.5 Fractions, Decimals, and Order of Operations

5.6 Solving Equations Containing Decimals

5.7 Mean, Median, and Mode

 

6. Ratios and Proportions

6.1 Ratios, Rates, and Unit Prices

6.2 Proportions

6.3 Proportions and Problem Solving

6.4 Congruent and Similar Triangles

6.5 Square Roots and the Pythagorean Theorem

 

7. Percent

7.1 Percents, Decimals, and Fractions

7.2 Solving Percent Problems with Equations

7.3 Solving Percent Problems with Proportions

7.4 Applications of Percent

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

7.6 Percent and Problem Solving: Interest

 

8. Graphing and the Rectangular Coordinate System

8.1 Pictographs, Circle Graphs, and Line Graphs

8.2 The Rectangular Coordinate System

8.3 Graphing Linear Equations in Two Variables

 

9. Geometry and Measurement

9.1 Lines and Angles

9.2 Perimeter, Circumference, and Area

9.3 Volume and Surface Area

9.4 Linear Measurement

9.5 Weight and Mass

9.6 Capacity

9.7 Time and Temperature

 

Appendices

Appendix A. Tables

 

Appendix B. Negative Exponents and Scientific Notation

 

Appendix C. Geometric Formulas

 

Appendix D. Introduction to Statistics

D.1 Histograms

D.2 Counting

D.3 Probability

Kirk Trigsted teaches mathematics at the University of Idaho and has been director of the Polya Mathematics Center since its inception in 2001. Kirk has taught with MyMathLab for many years, and has contributed to the videos for several Pearson books. Kirk is also actively involved with the National Center for Academic Transformation (NCAT).

Randy Gallaher is a professor of mathematics at Lewis & Clark Community College, where he has taught since 1997. Prior to this position, Randy taught high school and middle school mathematics for five years in Missouri. He holds a master’s degree in mathematics from Southeast Missouri State University and has completed additional graduate coursework at both Missouri State University and the University of Illinois at Urbana-Champaign. He has coauthored ancillary materials for numerous math and statistics textbooks and has worked as a math author on several grant projects for the Illinois Community College Board. Randy is married with three children and spends most evenings actively involved in their activities. In his limited free time, he loves to fish the small rivers and streams of southern Missouri.

Kevin Bodden is a professor of mathematics at Lewis & Clark Community College where he has taught since 1999. He holds a master’s degree in mathematics from Southern Illinois University at Edwardsville and a master’s degree in engineering from Purdue University. He has authored or co-authored ancillary material for numerous textbooks ranging from basic college math to calculus and statistics. He has contributed videos for several of these textbooks and has authored math content on grant projects for the Illinois Community College Board. Kevin is married with three children and is actively involved in their school and extracurricular activities. In his spare time, he enjoys soccer, camping, and geocaching.

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