William Ma - 5 Steps to a 5: Calculus AB 2020

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Congratulations! You are an AP Calculus student. Congratulations! You are an AP Calculus student.

Not too shabby! As you know, AP Calculus is one of the most challenging subjects in high school. You are studying mathematical ideas that helped change the world. Not that long ago, calculus was taught at the graduate level. Today, smart young people like yourself study calculus in high school. Most colleges will give you credit if you score a 3 or more on the AP Calculus exam. So how do you do well on the AP Calculus exam? How do you get a 5? Well, youve already taken the first step.

Youre reading this book. The next thing you need to do is to make sure that you understand the materials and do the practice problems. In recent years, the AP Calculus exam has gone through many changes. For example, today the questions no longer stress long and tedious algebraic manipulations. Instead, you are expected to be able to solve a broad range of problems, including problems presented to you in the form of a graph, a chart, or a word problem. For many of the questions, you are also expected to use your calculator to find the solutions.

After having taught AP Calculus for many years and having spoken to students and other calculus teachers, we understand some of the difficulties that students might encounter with the AP Calculus exam. For example, some students have complained about not being able to visualize what the question was asking and other students said that even when the solution was given, they could not follow the steps. Under these circumstances, who wouldnt be frustrated? In this book, we have addressed these issues. Whenever possible, problems are accompanied by diagrams and solutions are presented in a step-by-step manner. The graphing calculator is used extensively whenever it is permitted. To make things even easier, this book begins with a chapter that reviews precalculus.

So, if you need to look up a formula, definition, or concept in precalculus, it is right here in the book. If youre familiar with these concepts, you might skip this chapter and begin with . So how do you get a 5 on the AP Calculus exam? Step 1: Set up your study program by selecting one of the three study plans in of this book. Step 2: Determine your test readiness by taking the Diagnostic Exam in . Step 3: Develop strategies for success by learning the test-taking techniques offered in . Step 4: Review the knowledge you need to score high by studying the subject materials in .

Step 5: Build your test-taking confidence by taking the Practice Exams provided in this book. As an old martial artist once said, First you must understand. Then you must practice. Have fun and good luck!

I could not have written this book without the help of the following people: My high school calculus teacher, Michael Cantor, who taught me calculus. Professor Leslie Beebe, who taught me how to write. Jennifer Tobin, who tirelessly edited many parts of the manuscript and with whom I look forward to coauthoring a math book in the future. Robert Teseo and his calculus students who field-tested many of the problems. Allison Litvack, Rich Peck, and Liz Spiegel, who proofread sections of the Practice Tests. Allison Litvack, Rich Peck, and Liz Spiegel, who proofread sections of the Practice Tests.

And a special thanks to Trisha Ho, who edited some of the materials. Mark Reynolds, who proofread part of the manuscript. Maxine Lifsfitz