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Overview
As in previous editions, the focus in BASIC COLLEGE MATHEMATICS 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 Tenth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow.
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, an increased number of problems and more.
- JUST IN TIME SUPPORT built into questions contains direct links to the eTextbook (Read It) and videos (Watch It).
- LEARN IT MODULES address your students’ knowledge gaps with just-in-time instruction that meets their diverse learning styles. Available as an additional resource within questions, Learn Its provide targeted instruction and practice on that topic using narrative, videos and tutorials—all in one place. If the topic is still too challenging, students can choose to continue learning through associated prerequisite Learn Its until they feel confident in their knowledge and preparedness.
- RESPONSIVE QUESTIONS personalize the learning experience for your students by asking them to use their own real data, which provides the variables they will use to answer each question part.
- CONCEPT CHECK questions provide students with short, multi-step videos reviewing key math concepts. Students are required to answer a question after each video to ensure their understanding of each concept.
- EXPANDED PROBLEMS include intermediary steps to guide students to the final answer.
- MASTER IT TUTORIALS break problems down into steps to help guide students through the mathematical process.
- COURSE PACKS are modifiable, ready-to-use assignments built by subject matter experts to help save time.
- CLASS INSIGHTS provide understanding of student knowledge gaps.
- FLEXIBLE USE OF A CALCULATOR: The core exercises do not require calculator usage, although the book has been written to support the use of a scientific calculator.
- EXERCISE SETS include a balance of both applications and skill-based problems developed with a clear level of progression in terms of difficulty level.
- THREE TOOLKITS are included with this edition: the Equation Solving Toolkit, Factoring Toolkit, and Expression Simplifying Toolkit. Integrated throughout the text with visual icons, just-in-time help connects students to the solving techniques and tools used for different problem types. Each Toolkit emphasizes how these fundamental equations are used throughout the course.
- 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.
- CHAPTER PROJECTS enhance critical thinking and can be assigned either individually or as group work. Instructors can choose which projects best suit the focus of their class and give their students the chance to show how well they can tie together the concepts they have learned in that chapter. Some of these projects include online research or activities that students must perform to analyze data and make conclusions.
- CRITICAL THINKING FEATURE: Concept Investigations. These directed-discovery activities are ideal as group work during class, incorporated as part of a lecture, or as individual assignments to investigate concepts further. Inserted at key points within the chapter, each Concept Investigation helps students explore patterns and relationships such as the graphical and algebraic representations of the concepts being studied.
A. AIM FOR SUCCESS.
1. WHOLE NUMBERS.
Introduction to Whole Numbers. Addition of Whole Numbers. Subtraction of Whole Numbers. Multiplication of Whole Numbers. Division of Whole Numbers. Exponential Notation and the Order of Operations Agreement. Prime Numbers and Factoring.
2. FRACTIONS.
The Least Common Multiple and Greatest Common Factor. Introduction to Fractions. Writing Equivalent Fractions. Addition of Fractions and Mixed Numbers. Subtraction of Fractions and Mixed Numbers. Multiplication of Fractions and Mixed Numbers. Division of Fractions and Mixed Numbers. Order, Exponents, and the Order of Operations Agreement.
3. DECIMALS.
Introduction to Decimals. Addition of Decimals. Subtraction of Decimals. Multiplication of Decimals. Division of Decimals. Comparing and Converting Fractions and Decimals.
4. Ratio and Proportion
Ratio. Rates. Proportions.
5. PERCENTS.
Introduction to Percents. Percent Equations: Part 1. Percent Equations: Part II. Percent Equations: Part III. Percent Problems: Proportion Method.
6. APPLICATIONS FOR BUSINESS AND CONSUMERS.
Applications to Purchasing. Percent Increase and Percent Decrease. Interest. Real Estate Expenses. Car Expenses. Wages. Bank Statements.
7. STATISTICS AND PROBABILITY.
Pictographs and Circle Graphs. Bar Graphs and Broken-Line Graphs. Histograms and Frequency Polygons. Statistical Measures. Introduction to Probability.
8. U.S. CUSTOMARY UNITS OF MEASUREMENT.
Length. Weight. Capacity. Time. Energy and Power.
9. THE METRIC SYSTEM OF MEASUREMENT.
Length. Mass. Capacity. Energy. Conversion Between the U.S. Customary and the Metric Systems of Measurement.
10. RATIONAL NUMBERS.
Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Operations with Rational Numbers. Scientific Notation and the Order of Operations Agreement.
11. INTRODUCTION TO ALGEBRA.
Variable Expressions. Introduction to Equations. General Equations: Part I. General Equations: Part II. Translating Verbal Expressions into Mathematical Expressions. Translating Sentences into Equations and Solving.
12. GEOMETRY.
Angles, Lines, and Geometric Figures. Plane Geometric Figures. Area. Volume. The Pythagorean Theorem. Similar and Congruent Triangles.
Final Exam
APPENDIX.
Table of Geometric Formulas.
Compound Interest Table.
Monthly Payment Table.
Table of Measurements.
Table of Properties.
Solutions to You Try Its.
Answers to the Selected Exercises.
Glossary.
Index.
Index of Applications.