2017 AP Calculus BC Exam: A Comprehensive Retrospective
So, you're diving into the world of AP Calculus BC, and the infamous 2017 exam keeps popping up? You're in the right place. This post isn't just about regurgitating the answers; it's about understanding the why behind the questions, offering insights into the exam's structure, common pitfalls, and valuable lessons learned that can help you ace your own AP Calculus BC exam, regardless of the year. We'll delve into the specifics of the 2017 exam, analyzing its strengths and weaknesses, and offering a roadmap for success. Get ready to conquer calculus!
Section I: A Deep Dive into the 2017 AP Calculus BC Exam
The 2017 AP Calculus BC exam, like all AP Calculus BC exams, consisted of two sections: a multiple-choice section and a free-response section. Let's break them down:
Section I, Part A: Multiple Choice (No Calculator)
This section tested your conceptual understanding of calculus without the crutch of a calculator. Questions focused on:
Limits and Continuity: Expect questions probing your understanding of limit properties, L'Hôpital's Rule, and the definition of continuity. The 2017 exam likely featured questions requiring you to evaluate limits analytically, rather than relying on graphical approximations.
Derivatives: This was a significant portion of the test. You needed a solid grasp of derivative rules (product, quotient, chain rule), implicit differentiation, and related rates problems. Expect questions involving finding derivatives of various functions, interpreting the meaning of a derivative in context, and applying derivatives to optimization problems.
Integrals: This section tested your understanding of both definite and indefinite integrals. You should be proficient in techniques like u-substitution and integration by parts. Knowing the fundamental theorem of calculus was crucial for success here. The 2017 exam likely included questions involving area calculations and applications of integrals.
Section I, Part B: Multiple Choice (Calculator Allowed)
This section allowed the use of a graphing calculator, emphasizing both computational skills and the ability to interpret graphical representations of functions. Key areas of focus included:
Numerical Integration: Expect questions requiring the use of numerical integration methods like Riemann sums, trapezoidal rule, and Simpson's rule. Understanding the strengths and limitations of each method was critical.
Graph Analysis: The ability to interpret graphs of functions and their derivatives was essential. You needed to connect the graphical representation with the analytical properties of the functions.
Applications of Derivatives and Integrals: This section likely included more complex applications of derivatives and integrals, leveraging the computational power of a calculator to solve problems involving optimization, related rates, and accumulation functions.
Section II: Free-Response Questions (Calculator and Non-Calculator)
This section demanded a deeper understanding of calculus and the ability to communicate mathematical reasoning clearly and effectively. The 2017 exam likely featured a mix of problems that tested:
Problem-Solving Skills: The ability to break down complex problems into smaller, manageable parts was crucial. This section required you to demonstrate your understanding of the concepts and apply them to unfamiliar situations.
Communication Skills: Clear and concise explanations of your solution process were vital, even more so than simply getting the correct numerical answer. Showing your work and justifying your steps was paramount.
Conceptual Understanding: This section likely included questions that tested your deeper understanding of calculus concepts, requiring you to connect different ideas and apply them creatively.
Common Pitfalls of the 2017 AP Calculus BC Exam (and How to Avoid Them)
Many students struggled with:
Conceptual Understanding over Rote Memorization: Simply memorizing formulas wasn't enough. Deep understanding of the underlying concepts was essential for tackling the more challenging problems.
Time Management: The exam is timed, so efficient use of time was crucial. Practice solving problems under timed conditions to improve your speed and accuracy.
Clear Communication: Failing to show your work clearly or justify your steps could lead to lost points, even if your answer was correct.
Calculator Dependency: While calculators are helpful, they shouldn't replace a solid understanding of the fundamental concepts.
Preparing for Your AP Calculus BC Exam: Lessons from 2017
The 2017 AP Calculus BC exam serves as a valuable benchmark. To succeed, focus on:
Consistent Practice: Regular practice is key. Work through past exams and practice problems, focusing on both conceptual understanding and problem-solving skills.
Seek Clarification: Don't hesitate to ask your teacher or tutor for help if you are struggling with a particular concept.
Review Fundamental Concepts: Ensure you have a solid grasp of the core concepts before moving on to more advanced topics.
Time Management Strategies: Develop effective time management techniques to maximize your efficiency during the exam.
Conclusion
The 2017 AP Calculus BC exam, while challenging, provides a valuable learning opportunity. By understanding its structure, common pitfalls, and focusing on a strong foundation of conceptual understanding, you can significantly improve your chances of success on your own AP Calculus BC exam. Remember, consistent practice and a deep understanding of the material are the keys to conquering calculus!
FAQs
- Where can I find the 2017 AP Calculus BC exam questions? Released exam questions are often available through the College Board website or reputable educational resources. However, be aware that the specific 2017 exam may not be publicly released in its entirety.
- Is the 2017 exam representative of future exams? While the specific questions will differ, the topics and difficulty level generally remain consistent. Using past exams for practice is a valuable strategy.
- What calculator is allowed on the AP Calculus BC exam? Check the College Board's official website for the most up-to-date information on approved calculators. Generally, graphing calculators are allowed, but some models are prohibited.
- How much weight does each section hold in the final grade? The weighting of each section (multiple choice and free response) is outlined in the AP Calculus BC course description provided by the College Board.
- What resources are available to help me prepare for the AP Calculus BC exam? Numerous resources exist, including textbooks, online courses, practice problems, and review books. Your teacher can also provide valuable guidance and resources.
| 2017 ap calculus bc exam: Cracking the AP Calculus BC Exam, 2017 Edition Princeton Review, David Kahn, 2016-08 Provides a review of the relevant math topics, test-taking tips, and five practice tests with answers. |
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| 2017 ap calculus bc exam: Acing AP Calculus AB and BC , |
| 2017 ap calculus bc exam: Fast Track to A 5 Sharon Cade, 2006 |
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| 2017 ap calculus bc exam: Understanding by Design Grant P. Wiggins, Jay McTighe, 2005 Presents a multifaceted model of understanding, which is based on the premise that people can demonstrate understanding in a variety of ways. |
| 2017 ap calculus bc exam: Cracking the AP Calculus BC Exam, 2020 Edition The Princeton Review, 2019-10-22 EVERYTHING YOU NEED TO SCORE A PERFECT 5. Ace the AP Calculus BC Exam with this comprehensive study guide—including 3 full-length practice tests, thorough content reviews, targeted strategies for every question type, and access to online extras. Techniques That Actually Work. • Tried-and-true strategies to avoid traps and beat the test • Tips for pacing yourself and guessing logically • Essential tactics to help you work smarter, not harder Everything You Need to Know to Help Achieve a High Score. • Comprehensive content review for all test topics • Up-to-date information on the planned 2020 course changes via your online Student Tools • Engaging activities to help you critically assess your progress • Access to online drills, study plans, a handy list of formulas, helpful pre-college information, and more Practice Your Way to Excellence. • 3 full-length practice tests with detailed answer explanations • Practice drills throughout each content review chapter • Helpful reference guide of of key calculus formulas and comprehensive drills available online |
| 2017 ap calculus bc exam: AP® Calculus AB & BC Crash Course 3rd Ed., Book + Online J. Rosebush, Flavia Banu, 2021-03-12 AP® Calculus AB & BC Crash Course - updated for today's exam! A Higher Score in Less Time! REA’s Crash Course quick-review study guide is the top choice for AP® students who want to make the most of their study time and earn a high score. Here’s why more AP® teachers and students turn to REA’s AP® Calculus Crash Course: Targeted, Focused Review – Study Only What You Need to Know. REA’s new 3rd edition addresses all the latest test revisions. We cover only the information tested on the exam, so you can make the most of your valuable study time. Expert Test-taking Strategies and Advice. Authored by a team of AP® Calculus teachers, the book gives you the tips and topics that matter most on exam day. Crash Course relies on the authors’ extensive analysis of the test’s structure and content. By following their advice, you can boost your score in every section of the test. Realistic Practice Questions – a Mini-Test in the Book, a Full-Length Exam Online. Are you ready for your exam? Try our focused practice set inside the book. Then take our full-length online practice exam (one each for Calculus AB & BC) to ensure you're ready for test day. If you're cramming for the exam or looking for a concise course review, Crash Course is the study guide every AP® student needs. About Our Authors Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont. Ms. Rosebush earned her B.A. degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont. Flavia Banu graduated from Queens College of the City University of New York with a B.A. in Pure Mathematics and an M.A.in Pure Mathematics in 1997. Ms. Banu was an adjunct professor at Queens College where she taught Algebra and Calculus II. Currently, she teaches mathematics at Bayside High School in Bayside, New York, and coaches the math team for the school. Her favorite course to teach is AP Calculus because it requires “the most discipline, rigor and creativity.” About Our Revisions Editor Stu Schwartz has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP Calculus AB and BC and AP Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz was a 2002 recipient of the Presidential Award for Excellence in Mathematics Teaching and also won the 2007 Outstanding Educator of the Year Award for the Wissahickon School District. Mr. Schwartz’s resource-rich website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well. |
| 2017 ap calculus bc exam: Principles to Actions National Council of Teachers of Mathematics, 2014-02 This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning. |
| 2017 ap calculus bc exam: Multiple Choice Questions to Prepare for the Ap Calculus Bc Exam Rita Korsunsky, 2013-04-12 Multiple Choice Questions to Prepare for the AP Calculus BC Exam is your essential tool to scoring well on AP Calculus BC Exam. The author, Rita Korsunsky, is an award winning Calculus teacher whose students' scores on the AP Exam are: 100% passing and 90% fives. This book includes: Six Multiple Choice Exams Formulas and Theorems for Reference Tips for the AP Test An answer Key The solutions with step-by-step explanations to each and every problem created in the form of PowerPoint presentation are available for ordering on www.mathboat.com This book is created with the student in mind. It is meant to reinforce key skills, such as attention to detail, to review all types of exam problems, and to have the optimal number of each specific problem type reviewed. It provides the reader with comprehensive practice, which will help the student gain confidence, knowledge and test taking skills necessary to do well on the AP Exam. The exams in this book are in the same format as the Multiple-choice section of the actual AP Exam. The problems in these exams are similar in their level of difficulty, wording and variety to those on the AP Exam. The reference section of the book contains formulas and theorems needed for the AP test, which are carefully chosen, conveniently organized and easy to access and view. Another important feature of this book is a collection of effective tips for the AP Test, which helps the reader to avoid common mistakes, flaws and misconceptions. These helpful tips have been collected by the author over the years and shared with her own students, and are now being shared with you. This book reflects the recent changes in the College Board requirements, and has helped many students all over the U.S. to succeed on the AP exam. Also suggested for success on the AP Exam are Mathboat's AP Calculus Interactive lectures vol.1 and vol.2, which together form a complete collection of PowerPoint Presentations, covering the whole Calculus course. They come with theorems, proofs and numerous examples, approachable methodology, clear explanations and tested memorization techniques. They are an indispensable tool for a rigorous understanding of all Calculus concepts and problem-solving strategies. |
| 2017 ap calculus bc exam: Cracking the AP Calculus BC Exam, 2018 Edition Princeton Review, 2017-08 Provides a review of relevant math topics and test-taking tips, and also includes three practice tests with answers. |
| 2017 ap calculus bc exam: AP Calculus 12 AB Richard Seong, 2012 |
| 2017 ap calculus bc exam: Teaching and Learning of Calculus David Bressoud, Imène Ghedamsi, Victor Martinez-Luaces, Günter Törner, 2016-06-14 This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions. |
| 2017 ap calculus bc exam: Acing the New SAT I Math , 2004-09 Acing the New SAT I Math is a test prep guide for the math sections of the new SAT I. The booktakes a learning fundamentals approach that sets it apart from other SAT materials. Written by a test prep teacher of ten years, Acing focuses on solid teaching and practice, to help students master all the skills they need for the SAT I math. The book covers all the math topics found on the new SAT I, organized by subject into twenty chapters. Each chapter contains a tutorial, exercise set, and solutions. Three full-length practice tests are provided at the end of the book.Because Acings emphasis is learning and mastering math concepts, the book includes 500+ practice problems (not including example problems or practice tests)more than are found in other test prep books. It also includes the most detailed solutions guides on the market, taking students step-by-step through each problem to help them identify their mistakes and hone their skills.Acing also seeks to eliminate the wordiness found in most other test prep books, employing a 2-column format in the tutorials. Key terms and illustrations in the left-hand column present the math concepts as clearly and concisely as possible. Example problems in the right-hand column enable students to simultaneously learn the application of these concepts.In all areas, Acing is designed with an emphasis on clear and direct teaching, and with the belief that practice is the best preparation for any exam, including a standardized test like the SAT. Skipping the tricks and gimmicks, Acing stands apart from all the other test prep guides on the market. The book is also written to be a stand-alone resource, so students can prepare for the SAT and PSAT on their own, independent of outside instruction. |
| 2017 ap calculus bc exam: Fundamentals of Mathematical Statistics S.C. Gupta, V.K. Kapoor, 2020-09-10 Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Some prominent additions are given below: 1. Variance of Degenerate Random Variable 2. Approximate Expression for Expectation and Variance 3. Lyapounov’s Inequality 4. Holder’s Inequality 5. Minkowski’s Inequality 6. Double Expectation Rule or Double-E Rule and many others |
| 2017 ap calculus bc exam: A TeXas Style Introduction to Proof Ron Taylor, Patrick X. Rault , 2019-07-26 A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the “bridge course”) that also introduces TeX as a tool students can use to communicate their work. As befitting “textless” text, the book is, as one reviewer characterized it, “minimal.” Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult. |
| 2017 ap calculus bc exam: Multivariable Mathematics Theodore Shifrin, 2004-01-26 Multivariable Mathematics combines linear algebra and multivariable calculus in a rigorous approach. The material is integrated to emphasize the role of linearity in all of calculus and the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author addresses all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible and also including complete proofs. By emphasizing the theoretical aspects and reviewing the linear algebra material quickly, the book can also be used as a text for an advanced calculus or multivariable analysis course culminating in a treatment of manifolds, differential forms, and the generalized Stokes’s Theorem. |
| 2017 ap calculus bc exam: Cracking the AP Calculus AB Exam, 2018 Edition Princeton Review, 2017-08 Provides a review of relevant math topics and test-taking tips, and also includes 3 practice tests with answers. |
| 2017 ap calculus bc exam: Cracking the AP Calculus AB Exam 2018, Premium Edition Princeton Review, 2017-08 Provides a comprehensive review of exam topics, test-taking tips, and six full-length practice tests with detailed answer explanations. |
| 2017 ap calculus bc exam: Barron's AP Microeconomics/Macroeconomics Frank Musgrave, Elia Kacapyr, James Redelsheimer, 2015-02-01 This in-depth preparation for both AP economics exams provides a detailed review of the newly revised test topics, including: supply and demand, theory of consumer choice, market structures, labor resources, game theory, national income and gross domestic product, inflation and unemployment, monetary policy, economic growth, international trade and exchange, interest rate determination, and much more. The book includes two full-length practice tests—one in Microeconomics and one in Macroeconomics— with all test questions answered and explained. |
| 2017 ap calculus bc exam: AP Calculus AB Lecture Notes Rita Korsunsky, 2014-08-14 Imagine having interactive Powerpoint lectures that illustrate every problem, walking you through the procedure step-by-step. Imagine having every proof, illustration, or theorem explained concisely and accurately.Well, with AP Calculus Interactive Lectures Vol.1, you can!Why is this paperback so convenient?This book contains printouts of all the Powerpoint presentations on topics covered by both the AP Calculus AB Exam and the first part of the BC Exam. You can take notes on this book, study from it, and use it as test preparation material for chapter tests as well as for the AP test. At the end of this book, you will find the list of all the formulas and theorems needed for the AP test. These lecture notes can be used for both review and learning, and are a perfect fit for every student no matter their current knowledge of Calculus. Every example and every lesson targets a specific skill or formula. With this book, you will have every concept you need to know at the tip of your fingers.Our books are written by Mrs. Rita Korsunsky, a High School Mathematics Teacher with more than fifteen years of experience teaching AP Calculus. Her lectures are rigorous, entertaining, and effective. Her students' AP Scores speak for themselves:100% of her students pass the AP ExamAround 90% of her students get 5 on the AP ExamFor more information and testimonials please visit www.mathboat.com |
| 2017 ap calculus bc exam: Leadership for Increasingly Diverse Schools George Theoharis, Martin Scanlan, 2020-10-12 The second edition of Leadership for Increasingly Diverse Schools helps both practicing and aspiring school leaders deepen their knowledge, skills, and dispositions to create schools that best serve all students. This book helps readers sharpen their awareness of how students’ multiple dimensions of diversity intersect, as well as develop strategies for working with students of all socioeconomic statuses, races, religions, sexual orientations, languages, and special needs. Leadership for Increasingly Diverse Schools provides school leaders with the theory, research, and practical guidance to foster teaching and learning environments that promote educational equity and excellence for all students. Special features: Each chapter focuses on a specific dimension of diversity and discusses intersectionality across other areas of difference, including ability/disability, linguistic diversity, race, socioeconomic status, sexual orientation, gender, religion, and social frontiers. Chapters synthesize literature, share practical strategies and tools, include school-level and district-level cases illustrating inclusive leadership, and provide extended learning opportunities. Online eResources features additional resources, documents, and links to specific tools described in the chapters, accessible at www.routledge.com/9780367404604. |
| 2017 ap calculus bc exam: AP Calculus Ab/BC Maxine Lifshitz, 2016-07 A thorough review for students preparing to take the AP Calculus Examinations on both the AB and BC levels. |
| 2017 ap calculus bc exam: AP Calculus AB Prep Plus 2018-2019 Kaplan Test Prep, 2017-12-05 Kaplan's AP Calculus AB Prep Plus 2018-2019 is completely restructured and aligned with the current AP exam, giving you concise review of the most-tested content to quickly build your skills and confidence. With bite-sized, test-like practice sets and customizable study plans, our guide fits your schedule. We’re so confident that AP Calculus AB Prep Plus offers the guidance you need that we guarantee it: After studying with our online resources and book, you'll score higher on the AP exam—or you'll get your money back. To access your online resources, go to kaptest.com/booksonline and follow the directions. You'll need your book handy to complete the process. Personalized Prep. Realistic Practice. Three full-length Kaplan practice exams and an online test scoring tool to convert your raw score into a 1–5 scaled score Pre- and post-quizzes in each chapter so you can monitor your progress Customizable study plans tailored to your individual goals and prep time More than 400 practice questions with detailed answer explanations Online quizzes and workshops for additional practice Focused content review on the essential concepts to help you make the most of your study time Test-taking strategies designed specifically for AP Calculus Expert Guidance We know the test—our AP experts make sure our practice questions and study materials are true to the exam We know students—every explanation is written to help you learn, and our tips on the exam structure and question formats will help you avoid surprises on Test Day We invented test prep—Kaplan (www.kaptest.com) has been helping students for 80 years, and more than 95% of our students get into their top-choice schools |
| 2017 ap calculus bc exam: Barron's AP Calculus David Bock, Dennis Donovan, Shirley O. Hockett, 2017-07-24 Barron’s AP Calculus is aligned with the current exam curriculum and provides comprehensive review and practice exams for both AP Calculus AB and BC. This edition includes: Three practice exams for Calculus AB and three for Calculus BC, all modified to reflect the new exam format Answer explanations for all test questions Diagnostic tests to help pinpoint strengths and weaknesses Detailed subject review covering topics for both exams Advice to students on efficient use of their graphing calculators Online Practice Test: Students will also get access to one additional full-length online AP Calculus test with all questions answered and explained. |
| 2017 ap calculus bc exam: AP Calculus Premium David Bock, Dennis Donovan, Shirley O. Hockett, 2019-09-03 Always study with the most up-to-date prep! Look for AP Calculus Premium, 2022-2023, ISBN 9781506263946, on sale January 4, 2022. Publisher's Note: Products purchased from third-party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitles included with the product. |
| 2017 ap calculus bc exam: Tools for Teaching Conceptual Understanding, Secondary Julie Stern, Krista Ferraro, Juliet Mohnkern, 2017-02-02 Students become experts and innovators through Concept-Based teaching Innovators don’t invent without a deep understanding of how the world works. With this foundation, they apply conceptual understanding to solve new problems. We want our students to not only retain ideas, but relate them to other things they encounter, using each new situation to add nuance and sophistication to their thinking. To do this, they need conceptual understanding. This book serves as a road map for Concept-Based teaching. Discover how to help students uncover conceptual relationships and transfer them to new situations. Specifically, teachers will learn: Strategies for introducing conceptual learning to students Four lesson frameworks to help students uncover conceptual relationships How to assess conceptual understanding, and How to differentiate concept-based instruction Look no further. For deep learning and innovative thinking, this book is the place to start. The authors tear down the false dichotomies of traditional vs innovative education and provide a practical toolkit for developing creativity and applying knowledge through Concept-Based learning. Every practitioner needs this book to juxtapose what worked well in the 20th Century with what is essential in the 21st Century and beyond. Michael McDowell, Superintendent Ross School District, Ross, CA While most good educators recognise the incredible value of teaching conceptually, it is challenging. The authors have created accessible, practical baby steps for every teacher to use. Dr. Vincent Chan, principal Fairview International School, Kuala Lumpur, Malaysia |
| 2017 ap calculus bc exam: Learning in the Fast Lane Chester E. Finn, Jr., Andrew E. Scanlan, 2019-09-17 The first book to tell the story of the Advanced Placement program, the gold standard for academic rigor in American high schools The Advanced Placement program stands as the foremost source of college-level academics for millions of high school students in the United States and beyond. More than 22,000 schools now participate in it, across nearly forty subjects, from Latin and art to calculus and computer science. Yet remarkably little has been known about how this nongovernmental program became one of the greatest success stories in K–12 education—until now. In Learning in the Fast Lane, Chester Finn and Andrew Scanlan, two of the country's most respected education analysts, offer a groundbreaking account of one of the most important educational initiatives of our time. Learning in the Fast Lane traces the story of AP from its mid-twentieth-century origins as a niche benefit for privileged students to its emergence as a springboard to college for high schoolers nationwide, including hundreds of thousands of disadvantaged youth. Today, AP not only opens new intellectual horizons for smart teenagers, but also strengthens school ratings, attracts topflight teachers, and draws support from philanthropists, reformers, and policymakers. At the same time, it faces numerous challenges, including rival programs, curriculum wars, charges of elitism, the misgivings of influential universities, and the difficulty of infusing rigor into schools that lack it. In today's polarized climate, can AP maintain its lofty standards and surmount the problems that have sunk so many other bold education ventures? Richly documented and thoroughly accessible, Learning in the Fast Lane is a must-read for anyone with a stake in the American school system. |
| 2017 ap calculus bc exam: New AP Calculus BC Problems Arranged by Topic and Difficulty Level Steve Warner, 2015-07-15 New AP Calculus BC Problems Arranged by Topic and Difficulty Level is the perfect guide to help you ace the AP Calculus exam with a minimum amount of effort. The problems in this book were carefully chosen by a Ph.D. in mathematics with more than a decade of AP Calculus tutoring experience. This book is laid out in such a way that any student can immediately find the problems he or she needs to improve in a quick and efficient manner. Using this book you will learn to solve AP Calculus problems in clever and efficient ways that will have you spending less time on each problem, and answering difficult questions with ease. You will feel confident that you are applying a trusted system to a test that most students consider extremely difficult. The main part of the book consists of AP Calculus problems arranged by topic and difficulty level. You will learn many simple techniques to solve AP Calculus problems of all difficulty levels, and as you go through the book you will receive a comprehensive review of the subject. Here's to your success on the AP Calculus exam, in college, and in life. |
| 2017 ap calculus bc exam: Career and College Readiness Counseling in P-12 Schools Jennifer R. Curry, PhD, Amy Milsom, DEd, LPC-S, NCC, 2017-02-24 Praise for the First Edition: Serves as an excellent foundational text...I am very thankful that the authors wrote this text. [It] is written for school counselors by school counselor educators! -Gene Eakin, PhD, School Counseling Program Lead, Oregon State University The school counseling focus makes it unique... This is...a great improvement to other texts I’ve used and I plan to continue using it. -Dr. Carolyn Berger, Chair, Department of Counseling, Nova Southeastern University Fully updated to serve the needs of school counselors in training, this remains the only text to present a comprehensive, developmental, and practical approach to preparing school counselors to conceptualize the career development and college-readiness needs of P-12 students. The second edition reflects the ASCA’s new Mindsets & Behaviors for Student Success, which focuses on college and career-readiness standards for all students, 2016 CACREP Standards, and the 2015 Every Student Succeeds Act. The text is uniquely grounded in developmental, ecosystemic, and career theories as a basis for career interventions. Considering the range of psychosocial, cognitive, and academic development spanning P-12 students, the authors review relevant developmental and career theories as a foundation for the design of sequential and developmentally appropriate career and college-readiness curricula and interventions. The text provides school counselors and educators concrete examples of how to select, implement, and evaluate the outcomes of interventions grounded in various career counseling theories and addresses career development and college readiness needs by grade level. Also included is expanded information on diversity; reflections and advice from actual school counselors; updated statistics, references, and appendices; and an updated Instructor’s Manual, test bank, and PowerPoint slides. New to the Second Edition: Features a “Building a College-Going Culture” section that expands coverage on college readiness counseling Reflects updated legislation and policy information including ASCA’s new Mindsets & Behaviors for Student Success, 2016 CACREP Standards, Every Students Succeeds Act, and the Reach Higher Initiative Completely new chapter on college and career decision making Voices from the Field highlighting experiences from actual school counselors Enhanced instructor resources including Instructor’s Guide, test bank, and PowerPoint slides Key Features: The only comprehensive text devoted to career and college counseling for school counselors; written by former school counselors Disseminates current data and research focusing on college readiness needs of diverse populations Includes interventions grounded in theory and connected to national standards |
| 2017 ap calculus bc exam: Teaching Secondary and Middle School Mathematics Daniel J. Brahier, 2020-03-09 Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices. ● A new feature, Links and Resources, has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the chapters, five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. ● Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. ● A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic. ● A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences. ● Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices. An updated Instructor’s Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511 |
| 2017 ap calculus bc exam: Insights and Recommendations from the MAA National Study of College Calculus David M. Bressoud, Vilma Mesa, Chris Larson Rasmussen, 2015 |
