Description
Book SynopsisMarvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana UniversityPurdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular
Table of Contents
Table of Contents
- Index of Applications
- Preface
-
Whole Numbers
- 1.1 Standard Notation
- 1.2 Addition
- 1.3 Subtraction
- 1.4 Multiplication
- 1.5 Division
- 1.6 Rounding and Estimating; Order
- 1.7 Solving Equations
- 1.8 Applications and Problem Solving
- 1.9 Exponential Notation and Order of Operations
- Summary and Review
- Test
-
Fraction Notation: Multiplication and Division
- 2.1 Factorizations
- 2.2 Divisibility
- 2.3 Fractions and Fraction Notation
- 2.4 Multiplication and Applications
- 2.5 Simplifying
- 2.6 Multiplying, Simplifying, and Applications
- 2.7 Division and Applications
- Translating for Success
- Summary and Review
- Test
-
Fraction Notation and Mixed Numerals
- 3.1 Least Common Multiples
- 3.2 Addition and Applications
- 3.3 Subtraction, Order, and Applications
- 3.4 Mixed Numerals
- 3.5 Addition and Subtraction Using Mixed Numerals; Applications
- 3.6 Multiplication and Division Using Mixed Numerals; Applications
- 3.7 Order of Operations, Complex Fractions, and Estimation
- Summary and Review
- Test
- Cumulative Review
-
Decimal Notation
- 4.1 Decimal Notation, Order, and Rounding
- 4.2 Addition and Subtraction
- 4.3 Multiplication
- 4.4 Division
- 4.5 Converting from Fraction Notation to Decimal Notation
- 4.6 Estimating
- 4.7 Applications and Problem Solving
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Ratio and Proportion
- 5.1 Introduction to Ratios
- 5.2 Rates and Unit Prices
- 5.3 Proportions
- 5.4 Applications of Proportions
- 5.5 Geometric Applications
- Summary and Review
- Test
- Cumulative Review
-
Percent Notation
- 6.1 Percent Notation
- 6.2 Percent Notation and Fraction Notation
- 6.3 Solving Percent Problems Using Percent Equations
- 6.4 Solving Percent Problems Using Proportions
- 6.5 Applications of Percent
- 6.6 Sales Tax, Commission, and Discount
- 6.7 Simple Interest and Compound Interest; Credit Cards
- Summary and Review
- Test
- Cumulative Review
-
Data, Graphs, and Statistics
- 7.1 Interpreting Data from Tables and Graphs
- 7.2 Interpreting and Drawing Bar Graphs and Line Graphs
- 7.3 Descriptive Statistics
- 7.4 Frequency Distributions and Histograms
- 7.5 Probability
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Measurement
- 8.1 Linear Measures: American Units
- 8.2 Linear Measures: The Metric System
- 8.3 Converting Between American Units and Metric Units
- 8.4 Weight and Mass; Medical Applications
- 8.5 Capacity: Medical Applications
- 8.6 Time and Temperature
- 8.7 Converting Units of Area
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Geometry
- 9.1 Perimeter
- 9.2 Area
- 9.3 Circles
- 9.4 Volume
- 9.5 Angles and Triangles
- 9.6 Square Roots and the Pythagorean Theorem
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Real Numbers
- 10.1 The Real Numbers
- 10.2 Addition of Real Numbers
- 10.3 Subtraction of Real Numbers
- 10.4 Multiplication of Real Numbers
- 10.5 Division of Real Numbers and Order of Operations
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
-
Algebra: Solving Equations and Problems
- 11.1 Introduction to Algebra
- 11.2 Solving Equations: The Addition Principle
- 11.3 Solving Equations: The Multiplication Principle
- 11.4 Using the Principles Together
- 11.5 Clearing Fractions and Decimals
- 11.6 Applications and Problem Solving
- Translating for Success
- Summary and Review
- Test
- Cumulative Review
Answers Glossary Photo Credits Index
