Algebra and Trigonometry with Corequisite Support, 5th edition

About the Book

• Functions appear early and are integrated, reflecting the authors’ belief that functions are best taught as a theme of the course, not as an isolated topic.
• Functions are introduced in Chapter 1, so that students to start the course with a new topic rather than a review of equation-solving that was covered in previous math courses.
• Students will come to understand the concept of a function by being exposed repeatedly to the language, notation, and use of functions throughout the text.
• The authors take a visual approach to the course. The early introduction to functions allows for the use of graphs to provide a visual aspect to solving equations and inequalities. In addition, specific features enable students to “see the math” and make connections between concepts.
• Algebraic/Graphical Side-by-Side Examples present the solutions in a two-column format to help students understand the connection between algebraic manipulation and the graphical interpretation.
• Visualizing the Graph exercises help develop students’ ability to make the mental link between different types of equations and their corresponding graphs.
• Connecting the Concepts, a hallmark feature of the text, invites the student to stop and check their understanding of how concepts work together in one section or several sections. Concepts are summarized visually—using graphs, outlines, or charts—so that students deepen their understanding and make connections.

• Ongoing review features throughout the text reinforce the concepts and help students build understanding.
• NEW! Just-In-Time Review: Review of prerequisite algebra topics is now presented when students need it most.
• A set of 25 numbered short review topics creates an efficient review of intermediate algebra topics.
• This feature is placed at the back of the text. Just-In-Time icons are positioned throughout the text next to the example where review of an intermediate algebra topic would be helpful.
• The Just-In-Time review topics are assignable in MyMathLab.
• Even more just-in-time review resources are available in the MyMathLab course for College Algebra with Integrated Review and in the Getting Ready MyMathLab exercises.

• Mid-chapter Review exercises are one-page mixed review sets at logical breaks in the chapter, helping students to reinforce their understanding of the concepts. These exercises are assignable in MyMathLab.
• Vocabulary Review exercises appear in the last section of each chapter, and check students’ understanding of the language of mathematics. These are now assignable in MyMathLab and can serve as reading quizzes.
• Synthesis exercises, included at the end of each exercise set, encourage critical thinking by asking students to apply multiple skills or concepts within a single exercise. For the Fourth Edition, these are assignable in MyMathLab.
• Classify the Function exercises, appearing in the Skill Maintenance section of the exercise sets, ask students to identify a number of functions by their type (linear, quadratic, rational, etc.). Throughout the text, the variety of functions increases and these exercises become more challenging.
• Review Icons refer students to an earlier, related section where they can go to review prerequisite concepts that are needed for the current section.
• Technology Connections are optional sections that guide students in the use of the graphing calculator as another way to check problems.

Zeros, Solutions, and x-Intercepts are a theme of the text. The authors aim to help students see the connection between the real zeros of the function, the solutions of the associated equation, and the first coordinates of the x-intercepts of the graph. When students develop their understanding of these connections, their probability of success increases for this course.

Also available with MyMathLab

MyMathLab 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.

With this edition, the authors focused on MyMathLab features that help better prepare students and get them thinking more visually and conceptually.

• MyMathLab is closely integrated with the text and offers a variety of question types, for a robust online experience that mirrors the authors’ approach.

• MyMathLab with Integrated Review is a new course option that includes additional review resources (skill check quizzes, personalized homework, review worksheets, and videos) at the beginning of each chapter in the College Algebra course.
• NEW! 25 Just-In-Time review topics are assignable in MyMathLab.
• NEW! Video Assessment is tied to the Example-based videos, created by the authors, which walk students through the detailed solution process for key examples in the textbook. Videos have optional subtitles. Instructors can assign these videos and check for students’ conceptual understanding.
• NEW! Video Notebook contains fill-in-the-blank worksheets to accompany the video examples presented by the authors. Key definitions, theorems, and procedures are also included. After filling in the worksheet while watching the video, the student has an excellent study guide for review and test preparation. This is available in print or as a PDF or Word document in MyMathLab.

• NEW! Getting Ready: skill review quizzes are assignable throughout the course, testing students on prerequisite knowledge. From these quizzes, each student receives a personalized homework assignment to refresh forgotten concepts.
• NEW! Adaptive Study Plan: MyMathLab now offers adaptive learning functionality that continuously analyzes student work and points them toward resources that will maximize their potential for understanding and success.
• NEW! Skills for Success Module: these modules help students develop the good habits needed in the transition to college and then to professional life.
• NEW! Enhanced Graphing Functionality: New functionality within the graphing utility allows graphing of 3-point quadratic functions, 4-point cubic graphs, and transformations in exercises.
• Vocabulary exercises serve as reading quizzes and help ensure that students have a good grasp of the necessary terminology.
• Mid-chapter Reviews are assignable, helping students to reinforce their understanding of the concepts.
• Synthesis exercises are assignable, testing students’ ability to answer questions that cover multiple concepts.
• Sample homework assignments are pre-selected by the authors for each section. These are indicated in the Annotated Instructor Edition by a blue underline within each end-of-section exercise set. These homework sets are assignable in MyMathLab.

New and updated features

• Just-In-Time Review: Review of prerequisite algebra topics is now presented when students need it most.
• A set of 25 numbered short review topics creates an efficient review of intermediate algebra topics.
• This feature is placed at the back of the text. Just-In-Time icons are positioned throughout the text next to the example where review of an intermediate algebra topic would be helpful.
• The Just-In-Time review topics are assignable in MyMathLab.
• Even more just-in-time review resources are available in the MyMathLab course for College Algebra with Integrated Review and in the Getting Ready MyMathLab exercises.
• Data-Informed Exercises: Through analyzing MyMathLab usage data, the authors have revised exercises for this new edition. The goal is to ultimately improve the quality and quantity of exercises that matter the most to instructors and students For example, the authors adjusted sample homework assignments to ensure usage of the most widely-used exercises.
• Symmetry and Transformations: These topics are now presented in two sections rather than one due to reviewer feedback. Separating these concepts into two reasonable amounts of information allows for deeper student understanding.

Also available with MyMathLab

MyMathLab 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. With this edition, the authors focused on MyMathLab features that help better prepare students and get them thinking more visually and conceptually.

• 25 Just-In-Time review topics are assignable in MyMathLab.
• Video Assessment is tied to the Example-based videos, created by the authors, which walk students through the detailed solution process for key examples in the textbook. Videos have optional subtitles. Instructors can assign these videos and check for students’ conceptual understanding.
• Video Notebook contains fill-in-the-blank worksheets to accompany the video examples presented by the authors. Key definitions, theorems, and procedures are also included. After filling in the worksheet while watching the video, the student has an excellent study guide for review and test preparation. This is available in print or as a PDF or Word document in MyMathLab.
• Getting Ready: skill review quizzes are assignable throughout the course, testing students on prerequisite knowledge. From these quizzes, each student receives a personalized homework assignment to refresh forgotten concepts.
• Adaptive Study Plan: MyMathLab now offers adaptive learning functionality that continuously analyzes student work and points them toward resources that will maximize their potential for understanding and success.
• Skills for Success Module: these modules help students develop the good habits needed in the transition to college and then to professional life.
• Enhanced Graphing Functionality: New functionality within the graphing utility allows graphing of 3-point quadratic functions, 4-point cubic graphs, and transformations in exercises.