Practice: “Work the Problems” Feature Description Benefit Page(s) ‘Are You Prepared?’ Problems These problems assess your retention of the prerequisite material. Answers are given at the end of the section exercises. This feature is related to the Preparing for This Section feature. Do you always remember what you’ve learned? Working these problems is the best way to find out. If you get one wrong, you’ll know exactly what you need to review and where to review it! 294, 306 Concepts and Vocabulary These short-answer questions, mainly fill-in-the-blank, multiple-choice, and true/ false items, assess your understanding of key definitions and concepts in the current section. It is difficult to learn math without knowing the language of mathematics.These problems test your understanding of the formulas and vocabulary. 306–307 Skill Building Correlated with section examples, these problems provide straightforward practice. These problems give you ample opportunity to dig in and develop your skills. 307–309 Mixed Practice These problems offer comprehensive assessment of the skills learned in the section by asking problems related to more than one concept or objective.These problems may also require you to utilize skills learned in previous sections. Learning mathematics is a building process. Many concepts build on each other and are related.These problems help you see how mathematics builds on itself and how the concepts are linked together. 309 Applications and Extensions These problems allow you to apply your skills to real-world problems.They also enable you to extend concepts learned in the section. You will see that the material learned within the section has many uses in everyday life. 309–312 Challenge Problems These problems have been added in most sections and appear at the end of the Application and Extensions exercises.They are intended to be thought-provoking, requiring some ingenuity to solve. Challenge problems can be used for group work or to challenge your students. Solutions to Challenge Problems are in the Annotated Instructor’s Edition or in the Instructor’s Solutions Manual (online). 312 Explaining Concepts These problems, colored red, can be used to support class discussion, verbalization of mathematical ideas, and writing and research projects. To verbalize an idea, or to describe it clearly in writing, shows real understanding.These problems nurture that understanding. Many are challenging, but you’ll get out what you put in. 312 Retain Your Knowledge These problems allow you to practice content learned earlier in the course. Remembering how to solve all the different kinds of problems that you encounter throughout the course is difficult.This practice helps you remember previously learned skills. 312 Now Work PROBLEMS Many examples refer you to a related homework problem.These related problems are marked by and orange problem numbers. If you get stuck while working problems, look for the closest Now Work problem, and refer to the related example to see if it helps. 302, 304, 305 Interactive Figure Exercises Exercises that require you manipulate an interactive figure to solve.These exercises are labeled with the icon . These exercises help you visualize important concepts and develop a “feel” for them. The figures are housed at bit.ly/2MibgaO and were developed in GeoGebra by author Michael Sullivan III. 306, 307, 321, 322 Review Exercises Every chapter concludes with a comprehensive list of exercises to practice. Use the list of objectives to determine what objective and examples correspond to each problem. Work these problems to ensure that you understand all the skills and concepts employed in the chapter.Think of it as a comprehensive review of the chapter. All answers to Chapter Review problems appear in the back of the text. 376–379
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