Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this thorough review of arithmetic and geometry, the authors also introduce the fundamental algebraic concepts needed by students who intend to take an introductory algebra course. Tussy and Gustafson build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home or on the job.
This text/CD-ROM package provides a review of arithmetic and geometry and introduces some fundamental algebraic concepts, using a blend of traditional and reform approaches. Pedagogy includes vocabulary, notation, and writing problems as well as practice exercises and application problems. Use of calculators is optional. This second edition contains new examples and problems that involve real-life data and new group assignments, and adds more art and diagrams to help the visual learner. This text can be used in lecture, laboratory, and self-study formats. Tussy is affiliated with Citrus College. Gustafson is affiliated with Rock Valley College. Annotation c. Book News, Inc., Portland, OR (booknews.com)
1. WHOLE NUMBERS. An Introduction to the Whole Numbers. Adding Whole Numbers. Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers. Estimation. Prime Factors and Exponents. Order of Operations. Key Concept: Order of Operations. 2. THE INTEGERS. An Introduction to the Integers. Addition of Integers. Subtraction of Integers. Multiplication of Integers. Order of Operations and Estimation. Key Concept: Signed Numbers. 3. FRACTIONS AND MIXED NUMBERS. The Fundamental Property of Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. LCM and GCF. Multiplying and Dividing Mixed Numbers. Adding and Subtracting Mixed Numbers. Order of Operations and Complex Fractions. Key Concept: The Fundamental Property of Fractions. 4. DECIMALS. An Introduction to Decimals. Addition and Subtraction with Decimals. Multiplication with Decimals. Division with Decimals. Square Roots. Key Concept: The Real Numbers. 5. PERCENT. Percents, Decimals, and Fractions. Solving Percent Problems. Applications of Percents. Interest. Key Concept: Percent. 6. RATIO, PROPORTION, AND MEASUREMENT. Ratio. Proportions. American Units of Measurement. Metric Units of measurement. Converting Between American and Metric Units. Key Concept: Proportions. 7. DESCRIPTIVE STATISTICS. Reading Graphs and Tables. Mean, Median, and Mode. Key Concept: The Mean, Median, and Mode. 8. AN INTRODUCTION TO ALGEBRA. Solving Equations by Addition and Subtraction. Solving Equations by Division and Multiplication. Algebraic Expressions and Formulas. Simplifying Algebraic Expressions and the Distributive Property. Combining Like Terms. Simplifying Expressions to SolveEquations. Exponents. Key Concept: Variables. 9. INTRODUCTION TO GEOMETRY. Some Basic Definitions. Parallel and Perpendicular Lines. Polygons. Properties of Triangles. Perimeters and Areas of Polygons. Circles. Surface Area and Volume. Key Concept: Formulas. APPENDIXES: 1. Polynomials. 2. Inductive and Deductive Reasoning. 3. Roots and Powers. 4. Answers to Selected Exercises.