Features Blitzer engages students with the mathematical world around them. Outstanding applications have been updated with real-world data. The goal is to put learning into context for the students and show the relevance of math. Chapter Opening and Section-Opening Scenarios are based on an application and revisited in the course of the chapter or section in examples, exercises and discussions.
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Students stay engaged when they see the context and understand the relevance of math. In this new edition, the author continues to raise the bar with new applications throughout that are relevant to college students, including student-loan debt, grade inflation, political orientation of college freshmen, sleep hours of college students, and the number of hours college students study per week. The often humorous tone of these openers is intended to help fearful and reluctant students overcome their negative perceptions about math.
These scenarios are revisited throughout the chapter in examples, discussions, and exercises. Blitzer Bonuses provide historical, interdisciplinary, and otherwise interesting connections to the algebra being studied, showing students that math is an interesting and dynamic discipline. New to this edition, these are brought to life in in a new video series and related assignments. Support students of all majors in their goal to be successful--in this course and beyond.
Achieving Success boxes appear at the end of many sections in Chapters 1 through 5 with strategies for persistence and success in college mathematics courses. If students are not certain how to solve one of these, they can refer to the specific section and worked example provided next to each exercise. Learning Objectives, framed in the context of a student question What am I supposed to learn? The objectives are restated in the margin at their point of use.
These translate algebraic ideas into everyday English, clarify problem-solving procedures, present alternative ways of understanding concepts, and connect problem solving to concepts students have already learned.
Check Point Examples follow a similar matched problem and offer students the opportunity to test their understanding of the example by working a similar exercise. The answers to the Check Points are provided in the answer section. Detailed Worked-Out Examples make the purpose of the example clear.
Examples are clearly written and provide students with detailed step-by-step solutions. No steps are omitted and each step is thoroughly explained to the right of the mathematics. Great Question! Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
Integration of Technology Using Graphic and Numerical Approaches to Problems are side-by-side features in the technology boxes that show how graphing utilities verify and visualize algebraic results. Even for those not using graphing utilities, these displays will help students understand different approaches to problem solving. Discovery boxes, found throughout the text, encourage students to further explore algebraic concepts.
These explorations are optional and their omission does not interfere with the continuity of the topic at hand. Chapter Summaries organize chapter material into easy-to-use two-column review charts. These summarize the definitions and concepts for every section of the chapter and refer students to illustrative examples. Learning Guide. Activities are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class.
This feature appears whenever a particular skill is first needed and eliminates the need for reteaching that skill. For more detail, students are referred to the appropriate section and objective in a previous chapter where the topic is fully developed. Retaining the Concepts exercises are a chance for students to review previously covered objectives in order to help maintain their mastery of the material and keep skills fresh.
Practice Plus Problems contains more challenging practice problems that often require students to combine several skills or concepts. With an average of ten Practice Plus problems per exercise set, instructors have the flexibility to create assignments that take practice to a more challenging level. Mid-Chapter Checkpoints appear approximately at the midway point in each chapter and contain a set of review exercises that allow students to review skills and concepts from several sections before the end-of-chapter exercises.
Graphing and Functions that model data appear in nearly every section and exercise set. Graphing is introduced in Chapter 1 and functions are introduced in Chapter 2, with an integrated graphing functional approach emphasized throughout the book. Because functions are the core of this course, students are repeatedly shown how functions relate to equations and graphs. Preview Exercises at the end of each exercise set prepare students for material in the section ahead.
Some problems review important material from the past and others are designed to get students thinking about concepts that they will soon encounter. Cumulative Review Exercises, beginning at the end of Chapter 2, ensure that students remember previously learned material, keeping the fundamental skills and concepts fresh in their minds as they move on to the next chapter. Chapter Tests cover all of the important topics in the chapter, helping students study for the real thing.
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.
The new edition continues to expand the comprehensive auto-graded exercise options. In addition, MyLab Math includes new options designed to help students of all levels and majors to stay engaged and succeed in the course. Students enter the course with widely varying skill levels, so MyLab Math includes personalized support and targeted practice to help all students succeed.
Integrated Review courses provide a full suite of supporting resources for the main course content plus additional assignments and study aids for students who will benefit from remediation. Assignments for the integrated review content are preassigned in MyLab Math, making it easier than ever to create your course.
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.
Getting Ready material provides just-in-time review, integrated throughout the course as needed to prepare students with prerequisite material to succeed.
From a quick quiz, a personalized, just-in-time review assignment is generated for each student, allowing them to refresh forgotten concepts. Engage students with the mathematical world around them, and develop their visualization skills to strengthen their understanding of the concepts.
Blitzer Bonus Videos bring the applications from the text to life, helping students make visual connections to algebra and the world around them. These are ideal for the classroom, or they can be assigned to students in MyLab Math as media assignments or through the new exercises that assess conceptual understanding of the videos.
Guided Visualizations are interactive figures that help students visualize the concepts through directed explorations and purposeful manipulation. They encourage active learning, critical thinking, and conceptual understanding, and they can be assigned as homework with correlating exercises. Additional Exploratory Exercises are available to help students think more conceptually about the figures and provide an excellent framework for group projects or lecture discussions.
MathTalk Videos are fun, application-based videos showing students how the math they are learning applies to the real world and why they should care about math. They also have an accompanying Instructor Guide and video assessment questions assignable in MyLab Math. Support students in their desire to be successful--in this course and beyond. Video Program includes fresh, interactive videos that walk students through the concepts from every objective of the text.
The videos provide an active learning environment where students can work at their own pace. Chapter Test Prep Videos allow students to work through step-by-step solutions to all of the Chapter Test exercises from the textbook.
Easier course set-up for instructors NEW! Enhanced Sample Assignments make course set-up easier by giving instructors a starting point for each chapter. Each assignment, carefully curated for this specific text, with selections from Bob Blitzer, includes a thoughtful mix of question types e. Learning Guides are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class NEW!
Team names are no longer case sensitive. Help your students develop critical thinking skills. Monitor responses to find out where your students are struggling. Rely on real-time data to adjust your teaching strategy. Automatically group students for discussion, teamwork, and peer-to-peer learning. Help students to study efficiently and apply their understanding with extensive and varied exercise sets Learning Guide.
Easier course set-up for instructors Enhanced Sample Assignments make course set-up easier by giving instructors a starting point for each chapter. Section 1. This procedure forms the framework for the solutions in Examples 4 and 5.
Section 2. A new example Example 4 addresses identifying even or odd functions from graphs. Section 3. Section 5. Additional Great Question! A Great Question! Section 8. A new example Example 8 illustrates the procedure for solving a mixture problem. Section 9. Section Table of Contents P. Prerequisites: Fundamental Concepts of Algebra P.
Algebra and Trigonometry, 6th Edition
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