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Overview
As in previous editions, the focus in PREALGEBRA remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies. For the first time in this edition, How To examples appear before the paired Examples and You Try It problems—a hallmark feature found in all other books in the Aufmann series. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts.
Simplicity is key in the organization of this edition. All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, which helps to reinforce key concepts and promote skill building. This clear, objective-based approach allows students to organize their thoughts around the content, and supports instructors as they work to design syllabi, lesson plans, and other administrative documents.
New features like Focus on Success, Apply the Concept, and Concept Check add an increased emphasis on study skills and conceptual understanding to strengthen the foundation of student success. The Sixth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow.
Available with InfoTrac® Student Collections http://gocengage.com/infotrac.
- DIGITAL CONTENT UPDATE 2020: Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Concept Checks, Learn Its, College Success Modules, an increased number of problems and more.
- Apply the Concept boxes illustrate how an arithmetic operation is applied to a real-world situation so that students understand a context in which the operation is used.
- Concept Check exercises promote conceptual understanding. Completing these exercises will deepen a student's understanding of the concepts being addressed and provide the foundation they need to successfully complete the remaining exercises in the exercise set.
- Focus on Success appears at the start of each chapter. These are designed to help students make the most of the text and their time as they progress through the course and prepare for tests and exams.
- Check Your Progress exercises appear approximately mid-chapter and test a student's understanding of the concepts presented thus far in the chapter.
- In the News application exercises have been updated and help students master the utility of mathematics in our everyday world. They are based on information found in popular media sources, including newspapers, magazines, and the Web.
- PREALGEBRA is organized around a carefully constructed hierarchy of objectives. This objective-based approach provides an integrated learning environment that enables students to find resources such as assessment (both within the text and online), videos, tutorials, and additional exercises.
- Prep Tests, at the beginning of each chapter, helps students determine which topics they may need to study more carefully, versus those they need only skim over to review. Answers provide a reference to the objective on which the exercise is based.
- The Example/You Try It matched pairs are designed to actively involve students in learning the techniques presented. The You Try Its are based on the Examples. They are paired to easily refer students to the steps in the Examples as they work through the You Try Its.
- Think About It exercises promote conceptual understanding. Completing these exercises will deepen students' understanding of the concepts being addressed.
- The problem solving approach in the text emphasizes the importance of problem solving strategies. Model strategies are presented as guides to follow as students attempt the parallel You Try Its that accompany each numbered Example.
- Working through the application exercises that contain real data will help prepare students to answer questions and/or solve problems based on their own experiences, using facts or information they gather.
- At the end of each chapter, the Chapter Summary with Key Words and Essential Rules and Procedures includes an objective-level reference and a page reference to show where the concept was introduced, as well as an example of the summarized concept.
A. AIM FOR SUCCESS.
1. WHOLE NUMBERS.
Introduction to Whole Numbers. Addition and Subtraction of Whole Numbers. Multiplication and Division of Whole Numbers. Solving Equations with Whole Numbers. The Order of Operations Agreement.
2. INTEGERS.
Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Solving Equations with Integers. The Order of Operations Agreement.
3. FRACTIONS.
Least Common Multiple and Greatest Common Factor. Introduction to Fractions. Multiplication and Division of Fractions. Addition and Subtraction of Fractions. Solving Equations with Fractions. Exponents, Complex Fractions, and the Order of Operations Agreement.
4. DECIMALS AND REAL NUMBERS.
Introduction to Decimals. Addition and Subtraction of Decimals. Multiplication and Division of Decimals. Solving Equations with Decimals. Radical Expressions. Real Numbers.
5. VARIABLE EXPRESSIONS.
Properties of Real Numbers. Variable Expressions in Simplest Form. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Division of Monomials. Verbal Expressions and Variable Expressions.
6. FIRST-DEGREE EQUATIONS.
Equations of the form x + a = b and ax = b. Equations of the Form ax + b = c 380. General First-Degree Equations. Translating Sentences into Equations. The Rectangular Coordinate System. Graphs of Straight Lines.
7. MEASUREMENT AND PROPORTION.
The Metric System of Measurement. Ratios and Rates. The U.S. Customary System of Measurement. Proportion. Direct and Inverse Variation.
8. PERCENT.
Percent. The Basic Percent Equation. Percent Increase and Percent Decrease. Markup and Discount. Simple Interest.
9. GEOMETRY.
Introduction to Geometry. Plane Geometric Figures. Triangles. Solids.
10. STATISTICS AND PROBABILITY.
Organizing Data. Statistical Measures. Introduction to Probability.
FINAL EXAM.
APPENDIX.
Solutions to You-Try-Its.
Answers to Selected Exercises.
GLOSSARY.
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