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 Tips
Group Activity: Becoming a Successful Student
1.2 Introduction to Whole Numbers
1.3 Addition and Subtraction of Whole Numbers and Perimeter
1.4 Rounding and Estimating
1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole Numbers
Problem Recognition Exercises - Operations on Whole Numbers
1.7 Exponents, Algebraic Expressions, and the Order of Operations
1.8 Mixed Applications and Computing Mean
Chapter 2:  Integers and Algebraic Expressions
2.1 Integers, Absolute Value, and Opposite
2.2 Addition of Integers
2.3 Subtraction of Integers
2.4 Multiplication and Division of Integers
Problem Recognition Exercises - Operations on Integers
2.5 Order of Operations and Algebraic Expressions
Group Activity: Checking Weather Predictions
Chapter 3:  Solving Equations 
3.1 Simplifying Expressions and Combining Like Terms
3.2 Addition and Subtraction Properties of Equality  
3.3 Multiplication and Division Properties of Equality
3.4 Solving Equations with Multiple Steps  
Problem Recognition Exercises - Identifying Expression and Equations
3.5 Applications and Problem Solving
Group Activity: Deciphering a Coded Message
  Chapter 4:  Fractions and Mixed Numbers
4.1 Introduction to Fractions and Mixed Numbers
4.2 Simplifying Fractions
4.3 Multiplication and Division of Fractions
4.4 Least Common Multiple and Equivalent Fractions
4.5 Addition and Subtraction of Fractions
4.6 Estimation and Operations on Mixed Numbers
Problem Recognition Exercises - Operations on Fractions and Mixed Numbers
4.7 Order of Operations and Complex Fractions
4.8 Solving Equations Containing Fractions
Problem Recognition Exercises - Comparing Expressions and Equations
Group Activity: Card Games with Fractions
Chapter 5:  Decimals
5.1 Decimal Notation and Rounding
5.2 Addition and Subtraction of Decimals
5.3 Multiplication of Decimals and Applications with Circles
5.4 Division of Decimals
Problem Recognition Exercises - Operations on Decimals
5.5 Fractions, Decimals, and the Order of Operations
5.6 Solving Equations Containing Decimals
5.7 Mean, Median, and Mode
Group Activity: Purchasing from a Catalog
Chapter 6:  Ratio and Proportion
6.1 Ratios
6.2 Rates and Unit Cost
6.3 Proportions
Problem Recognition Exercises - Operations on Fractions versus Solving Proportions
6.4 Applications of Proportions and Similar Figures
Group Activity: Investigating Probability
Chapter 7: Percents
7.1 Percents, Fractions, and Decimals
7.2 Percent Proportions and Applications
7.3 Percent Equations and Applications
Problem Recognition Exercises - Percents
7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease
7.5 Simple and Compound Interest
Group Activity: Credit Card Interest
Chapter 8: Measurement and Geometry
8.1 US Customary Units of Measurement
8.2 Metric Units of Measurement
8.3 Converting Between US Customary and Metric UnitsProblem Recognition Exercises - US Customary and Metric Conversions
8.4 Medical Applications Involving Measurement
8.5 Lines and Angles
8.6 Triangles and the Pythagorean Theorem
8.7 Perimeter, Circumference, and Area
Problem Recognition Exercises - Area, Perimeter, and Circumference
8.8 Volume and Surface Area
Group Activity: Remodeling the Classroom
Chapter 9: Graphs and Statistics
9.1 Rectangular Coordinate System
9.2 Graphing Two-Variable Equations
9.3 Tables, Bar Graphs, Pictographs, and Line Graphs
9.4 Frequency Distributions and Histograms
9.5 Circle Graphs
9.6 Introduction to Probability
Group Activity: Creating a Statistical Report
Chapter 10: Exponents and Polynomials
10.1 Addition and Subtraction of Polynomials
10.2 Multiplication Properties of Exponents
10.3 Multiplication of Polynomials
Problem Recognition Exercises - Operations on Polynomials and Exponential Expressions
10.4 Introduction to Factoring
10.5 Negative Exponents and the Quotient Rule for Exponents
10.6 Scientific Notation
Group Activity: Evaluating and Interpreting a Polynomial Model