Offering a uniquely modern, balanced approach, Tussy/Koenig's PREALGEBRA, Fifth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the "language of algebra," the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.
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Alan Tussy has taught all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books. An extraordinary author dedicated to his students' success, he is relentlessly meticulous and creative--a visionary who maintains a keen focus on the greatest challenges students face in Mathematics. Alan received his Bachelor of Science degree in Mathematics from University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught across course and curriculum areas from prealgebra to differential equations. He is currently focusing on teaching courses related to Developmental Mathematics. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges (AMATYC).
A nationally recognized educator and author, Diane Koenig actively shaped several textbooks, ancillaries and series. Since 1982 when she helped develop the Gustafson/Frisk series to her work on the Tussy/Koenig/Gustafson series, Diane's writing continues to reflect the expertise she gains from working with students in her Mathematics courses. Throughout her work, she integrates research-based strategies in Mathematics education. She earned a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980, and began her career at Rock Valley College in 1981, when she became the Math Supervisor for a newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University in 1984, Diane, enjoys the distinction of being the first woman to become a full-time faculty member in the Mathematics department for Rock Valley College. In addition to being awarded AMATYC's Excellence in Teaching Award in 2015, she was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and the next year she was awarded the NISOD Teaching Excellence Award and the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, she is an active member of the Illinois Mathematics Association of Community Colleges (IMACC), serving on the board of directors, on a state-level task force rewriting the course outlines for the Developmental Mathematics courses, and as the Association's newsletter editor.
1. WHOLE NUMBERS. 1.1 An Introduction to the Whole Numbers. 1.2 Adding and Subtracting Whole Numbers. 1.3 Multiplying Whole Numbers. 1.4 Dividing Whole Numbers. 1.5 Prime Factors and Exponents. 1.6 The Least Common Multiple and the Greatest Common Factor. 1.7 Order of Operations. 1.8 Solving Equations Using Addition and Subtraction. 1.9 Solving Equations Using Multiplication and Division. Chapter Summary and Review. Chapter Test. 2. THE INTEGERS. 2.1 An Introduction to the Integers. 2.2 Adding Integers. 2.3 Subtracting Integers. 2.4 Multiplying Integers. 2.5 Dividing Integers. 2.6 Order of Operations and Estimation. 2.7 Solving Equations That Involve Integers. Chapter Summary and Review. Chapter Test. Cumulative Review. 3. THE LANGUAGE OF ALGEBRA. 3.1 Algebraic Expressions. 3.2 Evaluating Algebraic Expressions and Formulas. 3.3 Simplifying Algebraic Expressions and the Distributive Property. 3.4 Combining Like Terms. 3.5 Simplifying Expressions to Solve Equations. 3.6 Using Equations to Solve Application Problems. Chapter Summary and Review. Chapter Test. Cumulative Review. 4. FRACTIONS AND MIXED NUMBERS. 4.1 An Introduction to Fractions. 4.2 Multiplying Fractions. 4.3 Dividing Fractions. 4.4 Adding and Subtracting Fractions. 4.5 Multiplying and Dividing Mixed Numbers. 4.6 Adding and Subtracting Mixed Numbers. 4.7 Order of Operations and Complex Fractions. 4.8 Solving Equations That Involve Fractions. Chapter Summary and Review. Chapter Test. Cumulative Review. 5. DECIMALS. 5.1 An Introduction to Decimals. 5.2 Adding and Subtracting Decimals. 5.3 Multiplying Decimals. 5.4 Dividing Decimals. 5.5 Fractions and Decimals. 5.6 Square Roots. 5.7 Solving Equations That Involve Decimals. Chapter Summary and Review. Chapter Test. Cumulative Review. 6. RATIO, PROPORTION, AND MEASUREMENT. 6.1 Ratios. 6.2 Proportions. 6.3 American Units of Measurement. 6.4 Metric Units of Measurement; Medical Applications. 6.5 Converting between American and Metric Units. Chapter Summary and Review. Chapter Test. Cumulative Review. 7. PERCENT. 7.1 Percents, Decimals, and Fractions. 7.2 Solving Percent Problems Using Percent Equations and Proportions. 7.3 Applications of Percent. 7.4 Estimation with Percent. 7.5 Interest. Chapter Summary and Review. Chapter Test. Cumulative Review. 8. GRAPHS AND STATISTICS. 8.1 Reading Graphs and Tables. 8.2 Mean, Median, and Mode. 8.3 Equations in Two Variables: The Rectangular Coordinate System. 8.4 Graphing Linear Equations. Chapter Summary and Review. Chapter Test. Cumulative Review. 9. AN INTRODUCTION TO GEOMETRY. 9.1 Basic Geometric Figures; Angles. 9.2 Parallel and Perpendicular Lines. 9.3 Triangles. 9.4 The Pythagorean Theorem. 9.5 Congruent Triangles and Similar Triangles. 9.6 Quadrilaterals and Other Polygons. 9.7 Perimeters and Areas of Polygons. 9.8 Circles. 9.9 Volume. Chapter Summary and Review. Chapter Test. Cumulative Review. 10. EXPONENTS AND POLYNOMIALS. 10.1 Multiplication Rules for Exponents. 10.2 Introduction to Polynomials. 10.3 Adding and Subtracting Polynomials. 10.4 Multiplying Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix 1 Probability. Appendix 2 Inductive and Deductive Reasoning. Appendix 3 Roots and Powers.
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