Prealgebra and Introductory Algebra with POWER Learning Messersmith/Perez/Feldman Table of Contents Chapter 1 Operations with Integers 1.1 Place Value and Rounding 1.2 Introduction to Integers 1.3 Adding Integers 1.4 Subtracting Integers 1.5 Estimating a Sum or a Difference 1.6 Multiplying Integers and Estimation 1.7 Dividing Integers and Estimation PIAT 1.8 Exponents and Order of Operations Chapter 2 Variables and Solving Equations 2.1 Introduction to Variables 2.2 Simplifying Expressions 2.3 Solving Equations Using the Addition Property of Equality 2.4 Solving Equations Using the Division Property of Equality 2.5 More on Solving Equations 2.6 Applications Involving One Unknown 2.7 Applications Involving Two Unknowns Chapter 3 Operations with Signed Fractions 3.1 Introduction to Signed Fractions 3.2 Writing Fractions in Lowest Terms 3.3 Multiplying and Dividing Signed Fractions 3.4 Adding and Subtracting Like Fractions and Finding a Least Common Denominator 3.5 Adding and Subtracting Unlike Fractions 3.6 Operations with Mixed Numbers PIAT 3.7 Order Relations and Order of Operations 3.8 Solving Equations Containing Fractions Chapter 4 Basic Geometry Concepts 4.1 Introduction to Geometry 4.2 Rectangles, Squares, Parallelograms, and Trapezoids 4.3 Triangles 4.4 Volume and Surface Area PIAT 4.5 Solving Geometry Applications Using Algebra Chapter 5 Signed Decimals 5.1 Reading and Writing Decimals 5.2 Rounding Decimals 5.3 Adding and Subtracting Signed Decimals 5.4 Multiplying Signed Decimals 5.5 Dividing Signed Decimals and Order of Operations PIAT 5.6 Writing Fractions as Decimals 5.7 Mean, Median, and Mode 5.8 Solving Equations Containing Decimals 5.9 Square Roots and the Pythagorean Theorem 5.1 Circles, Spheres, Cylinders, and Cones Chapter 6 Ratios and Proportions 6.1 Ratios 6.2 Rates 6.3 Proportions 6.4 Solve Applied Problems Involving Proportions 6.5 Angles 6.6 Solve Applied Problems Involving Congruent and Similar Triangles Chapter 7 Measurement and Conversion 7.1 Conversions Within the U.S. Measurement System 7.2 The Metric System: Length 7.3 The Metric System: Capacity and Weight (Mass) 7.4 Solving Applied Problems Involving Metric Units 7.5 Metric - U.S. Customary Conversions and Temperature Chapter 8 Percents 8.1 Percents, Fractions, and Decimals 8.2 Compute Basic Percents Mentally 8.3 Use an Equation to Solve Percent Problems 8.4 Solve Applications Involving Percents PIAT 8.5 More Applications with Percents 8.6 Simple and Compound Interest Chapter 9 Graphs 9.1 Reading Tables, Pictographs, Bar Graphs, and Line Graphs 9.2 Frequency Distributions and Histograms 9.3 Using and Making Circle Graphs Cumulative Review for Chapters 1-9 Chapter 10 Real Numbers, Equations, and Inequalities 10.1 Real Numbers 10.2 More on Solving Linear Equations 10.3 Formulas and Solving for a Specific Variable 10.4 Solving Linear Inequalities in One Variable Chapter 11 Linear Equations in Two Variables 11.1 Introduction to Linear Equations in Two Variables 11.2 Graphing by Plotting Points and Finding Intercepts 11.3 The Slope of a Line 11.4 The Slope-Intercept Form of a Line 11.5 Writing an Equation of a Line Chapter 12 Solving Systems of Linear Equations 12.1 Solving Systems by Graphing 12.2 Solving Systems by Substitution 12.3 Solving Systems by the Elimination Method PIAT 12.4 Applications of Systems of Equations 12.5 Linear Inequalities in Two Variables Chapter 13 The Rules of Exponents and Polynomials 13.1 The Product Rule and Power Rules 13.2 Integer Exponents 13.3 The Quotient Rule PIAT 13.4 Scientific Notation 13.5 Addition and Subtraction of Polynomials 13.6 Multiplication of Polynomials 13.7 Dividing a Polynomial by a Monomial 13.8 Dividing a Polynomial by a Polynomial Chapter 14 Factoring Polynomials 14.1 The Greatest Common Factor and Factoring by Grouping 14.2 Factoring Trinomials of the Form x^2 + bx + c 14.3 Factoring Trinomials of the Form ax^2 + bx + c (a not 1) 14.4 Factoring Special Trinomials and Binomials PIAT 14.5 Solving Quadratic Equations by Factoring 14.6 Applications of Quadratic Equations Chapter 15 Rational Expressions 15.1 Simplifying Rational Expressions 15.2 Multiplying and Dividing Rational Expressions 15.3 Finding the Least Common Denominator 15.4 Adding and Subtracting Rational Expressions PIAT 15.5 Simplifying Complex Fractions 15.6 Solving Rational Equations 15.7 Applications of Rational Equations and Variation Chapter 16 Roots and Radicals 16.1 Finding Roots 16.2 Simplifying Radicals: The Product and Quotient Rules 16.3 Adding and Subtracting Radicals 16.4 Combining Operations on Radicals 16.5 Dividing Radicals 16.6 Solving Radical Equations Chapter 17 Quadratic Equations 17.1 Solving Quadratic Equations Using the Square Root Property 17.2 Solving Quadratic Equations by Completing the Square 17.3 Solving Quadratic Equations Using the Quadratic Formula PIAT 17.4 Graphs of Quadratic Equations 17.5 Introduction to Functions Appendix A.1 Adding Whole Numbers A.2 Subtracting Whole Numbers A.3 Multiplying Whole Numbers A.4 Introduction to Division and Short Division A.5 Long Division B.1 Sets of Numbers B.2 Graphing Inequalities B.3 Deriving the Area of a Parallelogram and the Area of a Trapezoid B.4 Inductive and Deductive Reasoning
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. 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.