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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. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts. To this point, simplicity plays a key factor 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. This "objective-based" approach not only serves the needs of students, in terms of helping them to clearly organize their thoughts around the content, but instructors as well, as they work to design syllabi, lesson plans, and other administrative documents. The Second Edition features a new design, enhancing the Aufmann Interactive Method and the organization of the text around objectives, making the pages easier for both students and instructors to follow.
- New! A thoroughly new interior design with numerous new illustrations provides an even clearer and more attractive layout making it easier for students to follow the material. Pedagogical use of color has been increased to better illustrate connections between ideas.
- New! Prep Tests have been introduced in the Chapter Openers for students to test their knowledge of important topics in the chapter.
- Each exercise set has been carefully reviewed to ensure that the pace and scope of the exercises adequately covers the concepts introduced in the section.
- The variety of word problems has increased. This will appeal to instructors who teach to a range of student abilities and want to address different learning styles.
- New! Think About It exercises, which are conceptual in nature, have been added. They are meant to assess and strengthen a students' understanding of the material presented in an objective.
- New! In the News exercises have been added and are based on a media source such as a newspaper, magazine, or the Web. The exercises demonstrate the pervasiveness and utility of mathematics in a contemporary setting.
- Concept Reviews now appear in the end-of-chapter materials to help students more actively study and review the contents of the chapter.
- The Chapter Review Exercises and Chapter Tests have been adjusted to ensure that there are questions that assess the key ideas in the chapter.
- Each chapter begins with a set of learning objectives woven throughout the text in Exercises, Chapter Tests, and Cumulative Reviews. These elements connect the text to the print and multimedia ancillaries, resulting in a seamless, easy-to-navigate learning system.
- To help students master and retain core concepts, exercises that follow the presentation of a new operation require students to connect verbal phrases and mathematical processes.
- PREALGEBRA & INTRODUCTORY ALGEBRA contains a wide variety of exercises that promote skill-building, skill maintenance, concept development, critical thinking and problem-solving.
- Problem Solving sections at the end of each chapter introduce students to various problem-solving strategies. Students are encouraged to write their own strategies and draw diagrams in order to find solutions; several open-ended problems are also included.
- Applying the Concepts exercise provide further exploration of topics, requiring analysis or incorporating concepts discussed earlier in the text.
- Projects and Group activities are featured at the end of each chapter. They can be used for extra-credit or cooperative learning activities.
- PREALGEBRA & INTRODUCTORY ALGEBRA addresses students' broad range of study styles by offering a wide variety of tools for review:
- The Aufmann Interactive Method (AIM) allows students to try each skill as it is presented. Each set of matched-pair examples is organized around an objective and includes a worked example and a You Try It example for students. Complete worked-out solutions are available in the appendix.
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