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As in previous editions, the focus in PREALGEBRA & INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. Student engagement is crucial to success. 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, as in all other editions. 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 Third 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.
- 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.
- Additionally, more annotations have been added to worked examples to explain the steps and many of the Chapter Summaries have been expanded to include more entries and more descriptive explanations.
- Apply the Basic Concepts is a feature, which appears when a new application problem type is introduced. These examples illustrate the basic concepts of applications such as work problems and percent mixture problems. Students are then instructed to do specific exercises in the Concept Check exercises for that section.
- 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.
- InfoTrac® Student Collections are specialized databases expertly drawn from the Gale Academic One library. Each InfoTrac® Student Collection enhances the student learning experience in the specific course area related to the product. These specialized databases allow access to hundreds of scholarly and popular publications - all reliable sources - including journals, encyclopedias, and academic reports. Learn more and access at: http://gocengage.com/infotrac.
- 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.
- Critical Thinking exercises in each exercise set require students to synthesize the skills learned in that section. They may also integrate concepts introduced earlier in the text.
- 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.
- Projects or Group Activities have been updated and moved to the end of each set of exercises. These may be assigned individually, or they can be used for classroom activities or group work.
- Chapter A, AIM for Success, has been updated and is now the first chapter in the text. Chapter A outlines study skills that are used by students who have been successful in this course. Topics include how to stay motivated, making a commitment to success, how to manage your time, and preparing for and taking tests. There is a complete guide to the textbook and how to use its features to become a successful student.
- PREALGEBRA & INTRODUCTORY ALGEBRA 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.
- How To examples provide solutions with detailed explanations for selected topics in each section.
- 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.
Introduction to Whole Numbers. Addition and Subtraction of Whole Numbers. Multiplication and Division of Whole Numbers. The Order of Operations Agreement.
2. FRACTIONS AND DECIMALS.
The Least Common Multiple and Greatest Common Factor. Introduction to Fractions. Addition and Subtraction of Fractions. Multiplication and Division of Fractions. Introduction to Decimals. Operations with Decimals. The Order of Operations Agreement.
3. RATIONAL NUMBERS.
Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Operations with Rational Numbers. The Order of Operations Agreement.
4. VARIABLE EXPRESSIONS.
Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions.
5. SOLVING EQUATIONS.
Introduction to Equations. General Equations -- Part I. General Equations -- Part II. Translating Sentences into Equations. Mixture and Uniform Motion Problems.
6. PROPORTION AND PERCENT.
Ratios and Rates. Proportion. Percent. The Basic Percent Equation. Simple Interest.
Introduction to Geometry. Plane Geometric Figures. Triangles. Solids.
8. STATISTICS AND PROBABILITY.
Statistical Graphs. Statistical Measures. Introduction to Probability.
Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials.
Common Factors. Factoring Polynomials of the Form x2 + bx + c. Factoring Polynomials of the Form ax2 + bx + c. Special Factoring. Solving Equations.
11. RATIONAL EXPRESSIONS.
Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM). Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Literal Equations. Application Problems.
12. LINEAR EQUATIONS IN TWO VARIABLES.
The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines.
13. SYSTEMS OF LINEAR EQUATIONS.
Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Equations by the Addition Method. Application Problems in Two Variables.
Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities.
15. RADICAL EXPRESSIONS.
Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions.
16. QUADRATIC EQUATIONS.
Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by Using the Quadratic Formula. Graphing Quadratic Equations in Two Variables. Application Problems.
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
Complete Solutions Manual
General Instructor's Resource Binder for Algebra Activities with Appendix
PowerLecture with Diploma
AIM for Success Practice Sheet
Get the extra practice you need to succeed in your mathematics course with this hands-on Student Workbook. Designed to help you master the problem-solving skills and concepts presented in PREALGEBRA AND INTRODUCTORY ALGEBRA: AN APPLIED APPROACH, 3rd Edition, this practical, easy-to-use workbook reinforces key concepts and promotes skill building.
AIM for Success Practice Sheet