John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and has served as the mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts.
Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Marblehead, Mass. with his wife Shelley and his yellow lab Gracie.
Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the Center, and as a result of this effort has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007 Jamie was appointed to the Team of Basic Skills Specialist by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California.
How Am I Doing? Guide
Preface
Acknowledgments
To The Student
Diagnostic Pretest
1. Whole Numbers
1.1 Understanding Whole Numbers
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
How Am I Doing? Sections 1.1-1.5
1.6 Exponents and the Order of Operations
1.7 Rounding and Estimating
1.8 Solving Applied Problems Involving Whole Numbers
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
2. Fractions
2.1 Understanding Fractions
2.2 Simplifying Fractions
2.3 Converting Between Improper Fractions and Mixed Numbers
2.4 Multiplying Fractions and Mixed Numbers
2.5 Dividing Fractions and Mixed Numbers
How Am I Doing? Sections 2.1-2.5
Test on Sections 2.1-2.5
2.6 The Least Common Denominator and Creating Equivalent Fractions
2.7 Adding and Subtracting Fractions
2.8 Adding and Subtracting Mixed Numbers and the Order of Operations
2.9 Solving Applied Problems Involving Fractions
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-2
3. Decimals
3.1 Using Decimal Notation
3.2 Comparing, Ordering, and Rounding Decimals
3.3 Adding and Subtracting Decimals
3.4 Multiplying Decimals
How Am I Doing? Sections 3.1-3.4
3.5 Dividing Decimals
3.6 Converting Fractions to Decimals and the Order of Operations
3.7 Estimating and Solving Applied Problems Involving Decimals
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-3
4. Ratio and Proportion
4.1 Ratios and Rates
4.2 The Concept of Proportions
How Am I Doing? Sections 4.1-4.2
4.3 Solving Proportions
4.4 Solving Applied Problems Involving Proportions
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-4
5. Percent
5.1 Understanding Percent
5.2 Changing Between Percents, Decimals, and Fractions
5.3A Solving Percent Problems Using Equations
5.3B Solving Percent Problems Using Proportions
How Am I Doing? Sections 5.1-5.3
5.4 Solving Applied Percent Problems
5.5 Solving Commission, Percent of Increase or Decrease, and Interest Problems
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-5
6. Measurement
6.1 American Units
6.2 Metric Measurements: Length
6.3 Metric Measurements: Volume and Weight
How Am I Doing? Sections 6.1-6.3
6.4 Converting Units
6.5 Solving Applied Measurement Problems
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-6
7. Geometry
7.1 Angles
7.2 Rectangles and Squares
7.3 Parallelograms, Trapezoids, and Rhombuses
7.4 Triangles
7.5 Square Roots
How Am I Doing? Sections 7.1-7.5
7.6 The Pythagorean Theorem
7.7 Circles
7.8 Volume
7.9 Similar Geometric Figures
7.10 Solving Applied Problems Involving Geometry
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-7
8. Statistics
8.1 Circle Graphs
8.2 Bar Graphs and Line Graphs
How Am I Doing? Sections 8.1-8.2
8.3 Histograms
8.4 Mean, Median, and Mode
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-8
9. Signed Numbers
9.1 Adding Signed Numbers
9.2 Subtracting Signed Numbers
9.3 Multiplying and Dividing Signed Numbers
How Am I Doing? Sections 9.1-9.3
9.4 Order of Operations with Signed Numbers
9.5 Scientific Notation
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-9
10. Introduction to Algebra
10.1 Variables and Like Terms
10.2 The Distributive Property
10.3 Solving Equations Using the Addition Property
10.4 Solving Equations Using the Division or Multiplication Property
10.5 Solving Equations Using Two Properties
How Am I Doing? Sections 10.1-10.5
10.6 Translating English to Algebra
10.7 Solving Applied Problems
Chapter Organizer
Review Problems
How Am I Doing? Chapter Test
Cumulative Test for Chapters 1-10
Practice Final Examination
Appendix A: Consumer Finance Applications
A.1 Balancing a Checking Account
A.2 Purchasing a Home
A.3 Determining the Best Deal When Purchasing a Vehicle
Appendix B: Tables
Basic Addition Facts
Basic Multiplication Facts
Prime Factors
Square Roots
Appendix C: Scientific Calculators
Solutions to Practice Problems
Selected Answers
Index of Applications
Subject Index
Glossary
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