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Prealgebra with P.O.W.E.R. Learning
Prealgebra with P.O.W.E.R. Learning

Prealgebra with P.O.W.E.R. Learning, 2nd Edition

ISBN10: 1259610292 | ISBN13: 9781259610295
By Sherri Messersmith, Nathalie Vega-Rhodes and Robert Feldman
© 2018

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* The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

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Prealgebra with P.O.W.E.R. Learning, 2nd Edition

Chapter 1: Operations with Integers

Study Strategies: An Introduction to the P.O.W.E.R. Framework


Section 1.1 Place Value and Rounding

Section 1.2 Introduction to Integers

Section 1.3 Adding Integers

Section 1.4 Subtracting Integers

Section 1.5 Estimating a Sum or Difference

Section 1.6 Multiplying Integers and Estimation

Section 1.7 Dividing Integers and Estimation

Putting It All Together

Section 1.8 Exponents, Roots, and Order of Operations

Group Activity

emPOWERme: Who's in Charge?


Chapter 1 Summary

Chapter 1 Review

Chapter 1 Test

Chapter 2: Expressions and Equations

Study Strategies: Strategies for Reading Math (and other) Textbooks


Section 2.1 Introduction to Algebra

Section 2.2 Simplifying Expressions

Section 2.3 Solving Linear Equations Part I

Section 2.4 Solving Linear Equations Part II

Section 2.5 Solving Linear Equations Part III

Section 2.6 Solve Applied Problems Involving One Unknown

Section 2.7 Solve Applied Problems Involving Two Unknowns

Group Activity

emPOWERme: Discover Your Reading Attention Span


Chapter Summary

Chapter 2 Review

Chapter 2 Test

Cumulative Review for Chapters 1-2

Chapter 3: Operations with Signed Fractions

Study Strategies: Time Management

Section 3.1 Introduction to Signed Fractions

Section 3.2 Writing Fractions in Lowest Terms

Section 3.3 Multiplying and Dividing Signed Fractions

Section 3.4 Adding and Subtracting Like Fractions and Finding a Least Common Denominator

Section 3.5 Adding and Subtracting Unlike Fractions

Section 3.6 Operations with Mixed Numbers

Putting It All Together

Section 3.7 Order Relations and Order of Operations

Section 3.8 Solving Equations Containing Fractions

Group Activity

emPOWERme: Find Your Procrastination Quotient

Chapter Summary

Chapter 3 Review

Chapter 3 Test

Cumulative Review for Chapters 1-3

Chapter 4: Basic Geometry Concepts and Algebra

Study Strategies: Taking Notes in Class


Section 4.1 Introduction to Geometry

Section 4.2 Rectangles, Squares, Parallelograms, and Trapezoids

Section 4.3 Triangles

Section 4.4 Volume and Surface Area

Putting It All Together

Section 4.5 Solving Geometry Applications Using Algebra

Group Activity

emPOWERme: Active Listening


Chapter Summary

Chapter 4 Review

Chapter 4 Test

Cumulative Review for Chapters 1-4

Chapter 5: Signed Decimals

Study Strategies: Taking Math Tests

Section 5.1 Reading and Writing Decimals

Section 5.2 Rounding Decimals

Section 5.3 Adding and Subtracting Signed Decimals

Section 5.4 Multiplying Signed Decimals

Section 5.5 Dividing Signed Decimals and Order of Operations

Putting It All Together

Section 5.6 Writing Fractions as Decimals

Section 5.7 Mean, Median, and Mode

Section 5.8 Solving Equations Containing Decimals

Section 5.9 Square Roots and the Pythagorean Theorem

Section 5.10 Circles, Spheres, Cylinders, and Cones

Group Activity

emPOWERme: Is Anxiety the Hardest Problem on the Test?

Chapter Summary

Chapter 5 Review

Chapter 5 Test

Cumulative Review for Chapters 1-5

Chapter 6: Ratios, Rates, and Proportions

Study Strategies: Doing Math Homework


Section 6.1 Ratios

Section 6.2 Rates

Section 6.3 Proportions

Section 6.4 Solve Proportions

Section 6.5 Solve Applied Problems Involving Proportions

Section 6.6 Angles

Section 6.7 Solve Applied Problems Involving Congruent and Similar Triangles

Group Activity

emPOWERme: The Right Approach for Homework


Chapter Summary

Chapter 6 Review

Chapter 6 Test

Cumulative Review for Chapters 1-6

Chapter 7: Measurement and Conversion

Study Strategies: Know Your School


Section 7.1 Using U.S. Customary Measurements

Section 7.2 The Metric System: Length

Section 7.3 The Metric System: Capacity and Weight (Mass)

Section 7.4 Solve Applied Problems Involving Metric Units

Section 7.5 Metric – U.S. Customary Conversions and Temperature

Group Activity

emPOWERme: My School


Chapter Summary

Chapter 7 Review

Chapter 7 Test

Cumulative Review for Chapters 1-7

Chapter 8: Percents

Study Strategies: Using the Internet to Supplement Your Learning


Section 8.1 Percents, Fractions, and Decimals

Section 8.2 Compute Basic Percents Mentally

Section 8.3 Use an Equation to Solve Percent Problems

Section 8.4 Solve Applications Involving Percents

Putting It All Together

Section 8.5 More Applications with Percents

Section 8.6 Simple and Compound Interest

Group Activity

emPOWERme: The Internet, Learning, and Me


Chapter Summary

Chapter 8 Review

Chapter 8 Test

Cumulative Review for Chapters 1-8

Chapter 9: Graphs and the Rectangular Coordinate System

Study Strategies: Beginning Financial Literacy


Section 9.1 Reading Tables, Pictographs, Bar Graphs, and Line Graphs

Section 9.2 Frequency Distributions and Histograms

Section 9.3 Using and Making Circle Graphs

Section 9.4 Introduction to Linear Equations in Two Variables

Section 9.5 Graphing Linear Equations in Two Variables

Group Activity

emPOWERme: Discover Your Personal Financial Philosophy


Chapter Summary

Chapter 9 Review

Chapter 9 Test

Cumulative Review for Chapters 1-9

Chapter 10: The Rules of Exponents and Polynomials

Study Strategies: Improving Your Memory


Section 10.1 The Product Rule and Power Rules

Section 10.2 Integer Exponents and the Quotient Rule

Putting It All Together


Section 10.3 Scientific Notation

Section 10.4 Adding and Subtracting Polynomials

Section 10.5 Multiplying Polynomials

Group Activity

emPOWERme: What's Your Memory Style?


Chapter Summary

Chapter 10 Review

Chapter 10 Test

Cumulative Review for Chapters 1-10

Chapter 11 (Online): Transition to Algebra

Study Strategies: The Writing Process


Section 11.1 Sets of Numbers

Section 11.2 More on Solving Linear Equations

Section 11.3 Solve a Formula for a Specific Variable

Section 11.4 Solving Linear Inequalities in One Variable

Group Activity

emPOWERme: Writing Clearly


Appendix A: Whole Number Arithmetic

Section A.1 Adding Whole Numbers

Section A.2 Subtracting Whole Numbers

Section A.3 Multiplying Whole Numbers

Section A.4 Introduction to Division and Short Division

Section A.5 Long Division of Whole Numbers

Appendix B (Online)

Section B.1 Deriving the Area of a Parallelogram and the Area of a Triangle

Section B.2 Inductive and Deductive Reasoning

About the Author

Sherri Messersmith

Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.

Nathalie Vega-Rhodes

Nathalie Vega-Rhodes’ career in higher education began seventeen years ago and has encompassed a number of student-focused positions. For nearly a decade, she has taught mathematics ranging from developmental courses to calculus, as well as student success courses. She holds a Bachelor of Arts in Mathematics from the University of Houston and a Master of Science in Mathematics from the University of Houston—Clear Lake. In addition to teaching, as Mathematics Technology Coordinator at Lone Star College—Kingwood, she assists math faculty with technology-related pedagogical and implementation strategies. Her earliest work in higher education focused on academic support, first as a tutor and supplemental instruction (SI) leader, and then as a coordinator for a math tutoring and SI program. In her free time, Nathalie enjoys scuba diving and traveling with her husband, hanging out with her dog, and reading.

Robert Feldman

Bob Feldman still remembers those moments of being overwhelmed when he started college at Wesleyan University. “I wondered whether I was up to the challenges that faced me,” he recalls, “and—although I never would have admitted it at the time—I really had no idea what it took to be successful at college.”

That experience, along with his encounters with many students during his own teaching career, led to a life-long interest in helping students navigate the critical transition that they face at the start of their own college careers. Professor Feldman, who went on to receive a doctorate in psychology from the University of Wisconsin–Madison, is now Deputy Chancellor and Professor of Psychological and Brain Sciences at the University of Massachusetts Amherst. He is founding director of POWER Up for Student Success, the first-year experience course for incoming students.

Professor Feldman’s proudest professional accomplishment is winning the College Outstanding Teaching Award at UMass. He also has been named a Hewlett Teaching Fellow and was Senior Online Instruction Fellow. He has taught courses at Mount Holyoke College, Wesleyan University, and Virginia Commonwealth University. Professor Feldman is a Fellow of the American Psychological Association, the Association for Psychological Science, and the American Association for the Advancement of Science. He is a winner of a Fulbright Senior Research Scholar and Lecturer award and has written over 200 scientific articles, book chapters, and books. His books, some of which have been translated into Spanish, French, Portuguese, Dutch, Japanese, and Chinese, include Improving the First Year of College: Research and Practice; Understanding Psychology, 12/e; and Development Across the Life Span, 7/e. His research interests encompass the study of honesty and truthfulness in everyday life, development of nonverbal behavior in children, and the social psychology of education. His research has been supported by grants from the National Institute of Mental Health and the National Institute on Disabilities and Rehabilitation Research.

With the last of his three children completing college, Professor Feldman occupies his spare time with pretty decent cooking and earnest, but admittedly unpolished, piano playing. He also loves to travel. He lives with his wife, who is an educational psychologist, in a home overlooking the Holyoke mountain range in western Massachusetts.

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