# Calculus Teacher Resources

Calculus is the study of change, and the place where one has finally aquired enough of a math background to finally solve some real problems!

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Lesson Planet

#### AP Calculus AB

Prepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...

EngageNY

#### EngageNY Precalculus and Advanced Topics Module 1: Complex Numbers and Transformations

Prepare your mathematicians for calculus with a collection of 32 lessons that focus on three topics: linearity, complex number operations as transformations, and the power of right notation. Each lesson includes teacher materials...

EngageNY

#### EngageNY Precalculus and Advanced Topics Module 2: Vectors and Matrices

Here's a collection for gamers and non-gamers. The 29 lessons in the Calculus and Advanced Topics Module 2 are divided into five topics: Networks and Matrices, Linear Transformation of Planes and Space, Systems of Linear Equations,...

Lesson Planet

#### Calculus: Derivatives 3

This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and...

Lesson Planet

#### Introduction to Calculus

This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

Lesson Planet

#### Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...

Lesson Planet

#### 2016 AP® Calculus AB Free-Response Questions

Using the common errors and test taker responses, it's easy for teachers to see where to pinpoint instruction throughout the AP Calculus course. Pupils, using the released items, develop an understanding of how future exams assess the...

Lesson Planet

#### The Fundamental Theorems of Calculus

Are your calculus pupils aware that they are standing on the shoulders of giants? This instructional activity provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as...

Lesson Planet

#### Fundamental Theorem of Calculus

Does it make more sense to teach the Second Fundamental Theorem of Calculus before the First Fundamental Theorem of Calculus? An AP® Calculus curriculum module explores the interesting question. A set of five worksheets first looks at...

Lesson Planet

#### Calculus Volume 1

Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...

Lesson Planet

#### The Fundamental Theorem of Calculus

Knowledge of definite integrals is fundamental to the understanding of calculus. Instructors of an AP® Calculus course consult a comprehensive guide to the Fundamental Theorem of Calculus. The document provides teaching suggestions and...

Lesson Planet

#### 2018 AP® Calculus AB Free-Response Questions

Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.

Lesson Planet

#### 2018 AP® Calculus BC Free-Response Questions

Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...

Lesson Planet

#### 2017 AP® Calculus BC Free-Response Questions

Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...

Lesson Planet

#### Essence of Calculus, Chapter 1

Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...

Lesson Planet

#### The Second Fundamental Theorem of Calculus

How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...

Lesson Planet

#### Calculus: Derivative of x^(x^x)

Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .

Lesson Planet

#### Calculus: Derivatives 1 (new HD version)

Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...

Lesson Planet

#### Calculus: Derivatives 1

Lesson Planet

#### Calculus: Derivatives 2 (new HD version)

Sal continues where he left off with the last video, "Derivatives 1,Ó by looking at the equation y = x2 and examining the slope of the secant line at a specific point. He continues with defining the limit as x approaches zero to get the...

Lesson Planet

#### Calculus: Derivatives 2.5 (new HD version)

By defining the formal definition of a derivative, f�(x), Sal is able to find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.

Lesson Planet

#### Calculus: Derivatives 2

Sal continues where he left off with the last video, "Derivatives 1,Ó by looking at the equation y = x^2 and examining the slope of the secant line at a specific point, and again defining the limit as x approaches zero to get the slope...

Lesson Planet

#### 2017 AP® Calculus AB Free-Response Questions

What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...

Lesson Planet

#### Math Handbook: Calculus

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...