About the Book Student-friendly features to make math accessible Margin Problems allow students to immediately practice the example material and check their answer at the bottom of the page in preparation for the exercise sets. Real-Life Applications with interesting data are used in many new or updated examples and exercises throughout the text. Students are often asked to find data in a table, chart, graph, or advertisement. These applied problems provide an up-to-date flavor that will appeal to and motivate students. Learning Objectives begin each section, and all material is keyed to these objectives to let students and instructors know exactly what will be covered. Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the-spot reminders and warnings about common pitfalls. Expanded! A popular feature, Pointers have been increased in this edition. NEW! Study Skills Reminders have been integrated and strategically placed throughout the text to encourage students to revisit the Study Skills activity most appropriate at that point. Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities. Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes. The new and engaging Chapter Openers portray real-life situations that make math relevant for students. Figures and Photos provide visual learners with a presentation of mathematical figures, diagrams, tables, and graphs whenever possible and use a style similar to that seen by students in today''s print and electronic media. Calculator Tips are optional tips, marked with a red calculator icon, that offer helpful information and instruction for students using calculators in the course. Pedagogy that develops conceptual understanding alongside skill development Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes. EXPANDED! Some Concept Checks include What Went Wrong Exercises , which have been expanded in this revision. Earlier editions of the text included exercises designed to help students find and fix errors, but in this edition these exercises have been updated and expanded with explicit instructions to emphasize the importance of this aspect of the learning process. When students can find and correct errors, they are demonstrating a higher level of understanding and conceptual knowledge. UPDATED! Relating Concepts exercises, located at the end of many section exercise sets, help students tie concepts together and develop higher-level problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. Many more of these problem types have been included in the revision, and all Relating Concepts exercises are now assignable in the MyLab Math course, noted with an "RC". EXPANDED! Guided Solution exercises , noted with a "GS" in the margin and exercise sets, show the first steps of the solution process, providing guidance to students as they start learning a new concept or procedure. These exercises encourage understanding of the problem solving process, rather than completing the steps by rote, and also keep students on the right track as they work through the problem-solving steps. Many of the Guided Solutions exercises in the end of section sets are assignable in MyLab Math, and utilize a ''guided'' functionality in the program. Coverage of these exercises in MyLab Math has been increased in this revision. Summary Exercises are available in every chapter to offer a mid-chapter review and provide students with the all-important mixed practice they need at these critical points in their skill development. An emphasis on problem solving is introduced and integrated as a six-step process for solving application problems: Read, Plan, Estimate, Solve, State the Answer, and Check . UPDATED! Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences. The variety of end-of-section exercise sets provide students with opportunities to practice, apply, connect, and extend the skills they are learning. Step-by-step worked-out solutions to selected section exercises are available in MyLab Math for exercise numbers enclosed in a blue square. These solutions are given for selected exercises that most commonly cause students difficulty. End of Chapter material includes a Chapter Summary with terms with definitions and graphics, New Formulas and Symbols, Test Your Word Power, and Quick Review for each section with extra examples. Test Your Word Power , incorporated into each Chapter Summary, helps students understand and master mathematical vocabulary. Key terms from the chapter are presented along with three possible definitions in a multiple-choice format. Answers and examples illustrating each term are provided. EXPANDED! In addition to Chapter Review exercises keyed to sections from the chapter, Chapter Reviews include a full page of dedicated Mixed Review exercises, to help students synthesize concepts. Chapter Test allows students to prepare for the real thing. Students can watch an instructor work out the full solutions to each Chapter Test problem in the Chapter Test Prep Videos. Printed Support for Students The Lial Video Workbook is a note-taking guide to help students develop organized notes as they work along with the videos in the course. The notebook includes Guided Examples that mirror the problems in the Lial Section Lecture Videos and/or Objective-Level Video clips, plus corresponding Now Try This exercises for each text objective. Extra practice exercises for every section of the text, with ample space for students to show their work. Learning objectives and key vocabulary terms for every text section, along with vocabulary practice problems. Also available with MyLab Math MyLab(tm) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. New exercise types and functionality give instructors an abundance of choice for assignment creation, and ensure that students'' practice in their MyLab Math course gives them a well-rounded understanding of concepts and procedures. EXPANDED! Guided Solution Exercises are assignable in MyLab Math. These exercises are noted with a GS icon in the section exercise sets, and a GS notation in the Assignment Manager. Coverage of Guided Solution exercises has been increased in this revision. These exercises allow instructors to assess student understanding of the problem-solving process, rather than completing the steps by rote, and to also keep students on the right track as they work through the problem-solving steps. EXPANDED! Relating Concepts exercises in the text help students make connections and problem-solve at a higher level. These sets are assignable in MyLab Math, with expanded coverage in this revision. NEW! Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus. NEW! Skill Builder assignments offer adaptive practice that is designed to increase students'' ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student''s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives. Premade sample assignments are available in the Assignment Manager, and include a pre-made pre- and post- te
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About the Book Student-friendly features to make math accessible Margin Problems allow students to immediately practice the example material and check their answer at the bottom of the page in preparation for the exercise sets. Real-Life Applications with interesting data are used in many new or updated examples and exercises throughout the text. Students are often asked to find data in a table, chart, graph, or advertisement. These applied problems provide an up-to-date flavor that will appeal to and motivate students. Learning Objectives begin each section, and all material is keyed to these objectives to let students and instructors know exactly what will be covered. Pointers within examples, Cautions (highlighted in yellow) and Notes (highlighted in blue) provide students with important, on-the-spot reminders and warnings about common pitfalls. Expanded! A popular feature, Pointers have been increased in this edition. NEW! Study Skills Reminders have been integrated and strategically placed throughout the text to encourage students to revisit the Study Skills activity most appropriate at that point. Study Skills activities provide students with proven strategies for learning math. Many of these now include a Now Try This section to increase student involvement and accountability for the study skills activities. Vocabulary Tips in the margins of the first few chapters help students learn root words and prefixes. The new and engaging Chapter Openers portray real-life situations that make math relevant for students. Figures and Photos provide visual learners with a presentation of mathematical figures, diagrams, tables, and graphs whenever possible and use a style similar to that seen by students in today''s print and electronic media. Calculator Tips are optional tips, marked with a red calculator icon, that offer helpful information and instruction for students using calculators in the course. Pedagogy that develops conceptual understanding alongside skill development Concept Checks at the start of exercise sets ensure students have the skills to proceed, and later help students consolidate learning by writing, correcting errors, and practicing processes. EXPANDED! Some Concept Checks include What Went Wrong Exercises , which have been expanded in this revision. Earlier editions of the text included exercises designed to help students find and fix errors, but in this edition these exercises have been updated and expanded with explicit instructions to emphasize the importance of this aspect of the learning process. When students can find and correct errors, they are demonstrating a higher level of understanding and conceptual knowledge. UPDATED! Relating Concepts exercises, located at the end of many section exercise sets, help students tie concepts together and develop higher-level problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students. Many more of these problem types have been included in the revision, and all Relating Concepts exercises are now assignable in the MyLab Math course, noted with an "RC". EXPANDED! Guided Solution exercises , noted with a "GS" in the margin and exercise sets, show the first steps of the solution process, providing guidance to students as they start learning a new concept or procedure. These exercises encourage understanding of the problem solving process, rather than completing the steps by rote, and also keep students on the right track as they work through the problem-solving steps. Many of the Guided Solutions exercises in the end of section sets are assignable in MyLab Math, and utilize a ''guided'' functionality in the program. Coverage of these exercises in MyLab Math has been increased in this revision. Summary Exercises are available in every chapter to offer a mid-chapter review and provide students with the all-important mixed practice they need at these critical points in their skill development. An emphasis on problem solving is introduced and integrated as a six-step process for solving application problems: Read, Plan, Estimate, Solve, State the Answer, and Check . UPDATED! Examples and exercises have been adjusted or replaced with current data. Applications put math in context to motivate students and were updated to cover a wider variety of topics, including technology, ecology, and health sciences. The variety of end-of-section exercise sets provide students with opportunities to practice, apply, connect, and extend the skills they are learning. Step-by-step worked-out solutions to selected section exercises are available in MyLab Math for exercise numbers enclosed in a blue square. These solutions are given for selected exercises that most commonly cause students difficulty. End of Chapter material includes a Chapter Summary with terms with definitions and graphics, New Formulas and Symbols, Test Your Word Power, and Quick Review for each section with extra examples. Test Your Word Power , incorporated into each Chapter Summary, helps students understand and master mathematical vocabulary. Key terms from the chapter are presented along with three possible definitions in a multiple-choice format. Answers and examples illustrating each term are provided. EXPANDED! In addition to Chapter Review exercises keyed to sections from the chapter, Chapter Reviews include a full page of dedicated Mixed Review exercises, to help students synthesize concepts. Chapter Test allows students to prepare for the real thing. Students can watch an instructor work out the full solutions to each Chapter Test problem in the Chapter Test Prep Videos. Printed Support for Students The Lial Video Workbook is a note-taking guide to help students develop organized notes as they work along with the videos in the course. The notebook includes Guided Examples that mirror the problems in the Lial Section Lecture Videos and/or Objective-Level Video clips, plus corresponding Now Try This exercises for each text objective. Extra practice exercises for every section of the text, with ample space for students to show their work. Learning objectives and key vocabulary terms for every text section, along with vocabulary practice problems. Also available with MyLab Math MyLab(tm) Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. New exercise types and functionality give instructors an abundance of choice for assignment creation, and ensure that students'' practice in their MyLab Math course gives them a well-rounded understanding of concepts and procedures. EXPANDED! Guided Solution Exercises are assignable in MyLab Math. These exercises are noted with a GS icon in the section exercise sets, and a GS notation in the Assignment Manager. Coverage of Guided Solution exercises has been increased in this revision. These exercises allow instructors to assess student understanding of the problem-solving process, rather than completing the steps by rote, and to also keep students on the right track as they work through the problem-solving steps. EXPANDED! Relating Concepts exercises in the text help students make connections and problem-solve at a higher level. These sets are assignable in MyLab Math, with expanded coverage in this revision. NEW! Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus. NEW! Skill Builder assignments offer adaptive practice that is designed to increase students'' ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student''s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives. Premade sample assignments are available in the Assignment Manager, and include a pre-made pre- and post- te
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