ISE Prealgebra

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers. My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and I’d like to see math come alive for my students. Molly ONeill is from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from developmental mathematics to calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a bachelor of science in mathematics and a master of arts and teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus and has reviewed texts for developmental mathematics. I differ from many of my colleagues in that math was not always easy for me. But in seventh grade I had a teacher who taught me that if I follow the rules of mathematics, even I could solve math problems. Once I understood this, I enjoyed math to the point of choosing it for my career. I now have the greatest job because I get to do math every day and I have the opportunity to influence my students just as I was influenced. Authoring these texts has given me another avenue to reach even more students. Nancy Hyde served as a full-time faculty member of the Mathematics Department at Broward College for 24 years. During this time she taught the full spectrum of courses from developmental math through differential equations. She received a bachelor of science degree in math education from Florida State University and a master’s degree in math education from Florida Atlantic University. She has conducted workshops and seminars for both students and teachers on the use of technology in the classroom. In addition to this textbook, she has authored a graphing calculator supplement for College Algebra. I grew up in Brevard County, Florida, where my father worked at Cape Canaveral. I was always excited by mathematics and physics in relation to the space program. As I studied higher levels of mathematics I became more intrigued by its abstract nature and infinite possibilities. It is enjoyable and rewarding to convey this perspective to students while helping them to understand mathematics.

• Prealgebra, 3rd Edition Chapter 1:Whole Numbers 1.1 Study TipsGroup Activity: Becoming a Successful Student1.2 Introduction to Whole Numbers1.3 Addition and Subtraction of Whole Numbers and Perimeter1.4 Rounding and Estimating1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole NumbersProblem Recognition Exercises - Operations on Whole Numbers1.7 Exponents, Algebraic Expressions, and the Order of Operations1.8 Mixed Applications and Computing MeanChapter 2:  Integers and Algebraic Expressions 2.1 Integers, Absolute Value, and Opposite2.2 Addition of Integers2.3 Subtraction of Integers2.4 Multiplication and Division of IntegersProblem Recognition Exercises - Operations on Integers2.5 Order of Operations and Algebraic ExpressionsGroup Activity: Checking Weather PredictionsChapter 3:  Solving Equations  3.1 Simplifying Expressions and Combining Like Terms3.2 Addition and Subtraction Properties of Equality  3.3 Multiplication and Division Properties of Equality3.4 Solving Equations with Multiple Steps  Problem Recognition Exercises - Identifying Expression and Equations3.5 Applications and Problem SolvingGroup Activity: Deciphering a Coded MessageChapter 4:  Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers4.2 Simplifying Fractions4.3 Multiplication and Division of Fractions4.4 Least Common Multiple and Equivalent Fractions4.5 Addition and Subtraction of Fractions4.6 Estimation and Operations on Mixed NumbersProblem Recognition Exercises - Operations on Fractions and Mixed Numbers4.7 Order of Operations and Complex Fractions4.8 Solving Equations Containing FractionsProblem Recognition Exercises - Comparing Expressions and EquationsGroup Activity: Card Games with FractionsChapter 5:  Decimals 5.1 Decimal Notation and Rounding5.2 Addition and Subtraction of Decimals5.3 Multiplication of Decimals and Applications with Circles5.4 Division of DecimalsProblem Recognition Exercises - Operations on Decimals5.5 Fractions, Decimals, and the Order of Operations5.6 Solving Equations Containing Decimals5.7 Mean, Median, and ModeGroup Activity: Purchasing from a CatalogChapter 6:  Ratio and Proportion 6.1 Ratios6.2 Rates and Unit Cost6.3 ProportionsProblem Recognition Exercises - Operations on Fractions versus Solving Proportions6.4 Applications of Proportions and Similar FiguresGroup Activity: Investigating ProbabilityChapter 7: Percents 7.1 Percents, Fractions, and Decimals7.2 Percent Proportions and Applications7.3 Percent Equations and ApplicationsProblem Recognition Exercises - Percents7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease7.5 Simple and Compound InterestGroup Activity: Credit Card InterestChapter 8: Measurement and Geometry 8.1 US Customary Units of Measurement8.2 Metric Units of Measurement8.3 Converting Between US Customary and Metric UnitsProblem Recognition Exercises - US Customary and Metric Conversions8.4 Medical Applications Involving Measurement8.5 Lines and Angles8.6 Triangles and the Pythagorean Theorem8.7 Perimeter, Circumference, and AreaProblem Recognition Exercises - Area, Perimeter, and Circumference8.8 Volume and Surface AreaGroup Activity: Remodeling the ClassroomChapter 9: Graphs and Statistics 9.1 Rectangular Coordinate System9.2 Graphing Two-Variable Equations9.3 Tables, Bar Graphs, Pictographs, and Line Graphs9.4 Frequency Distributions and Histograms9.5 Circ