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