# 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 Curated

#### 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...

Lesson Planet Curated

#### AP Calculus AB Unit 6: Integration and Accumulation of Change

The 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...

Lesson Planet Curated

#### AP Calculus AB Unit 3: Differentiation - Composite, Implicit, and Inverse Functions

The seven lessons in Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions have AP Calculus learners watch videos and complete practice problems covering key concepts. Scholars learn when to apply the Chain Rule and how to...

Lesson Planet Curated

#### AP Calculus AB Unit 4: Contextual Applications of Differentiation

The eight lessons in AP Calculus AB Unit 4 focus on the contextual applications of differentiation. Each lesson includes an overview, an instructional video, practice problems, and solutions. Scholars first review the connection between...

Lesson Planet Curated

#### AP Calculus AB Unit 7: Differential Equations

As with the other units in the Flipped Classroom Calculus course, the Differential Equations Unit follows the College Board’s course and exam description. Topics are introduced with an instructional video demonstrating how to approach...

Lesson Planet Curated

#### AP Calculus AB Unit 1: Limits and Continuity

Flip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...

Lesson Planet Curated

#### AP Calculus AB Unit 2: Differentiation - Definition and Fundamental Properties

The eleven lessons in Unit 2 of the flipped math calculus course take up the definition and fundamental differentiation properties. Lessons include teaching scholars how to use their knowledge of the formula to find the average rate of...

Lesson Planet Curated

#### AP Calculus AB Unit 5: Analytical Applications of Differentiation

Fourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery....

Lesson Planet Curated

#### Krista King Math: Pre-Calculus

A precalculus playlist of 29-videos demonstrates the processes and includes step-by-step explanations of functions. The collection includes inverse trig functions, polar coordinates, graphing polar curves, parametric curves, analytic...

Lesson Planet Curated

#### Krista King Math: Derivatives

Everything calculus scholars need to know about derivatives can be found in this 31-resource playlist. The collection defines the derivative and includes derivative rules, chain rule, derivatives of trig functions, derivatives of...

Lesson Planet Curated

#### Balanced Assessment: Advanced High School Math Packet

Nineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...

Curated OER

#### 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...

Old Dominion University

#### 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,...

Portland
State
University

#### 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...

College Board

#### 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...

Rice University

#### 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...

College Board

#### 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.

College Board

#### 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...

College Board

#### 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...

Curated Video

#### 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...

Curated Video

#### 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...

Curated OER

#### 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 .

Curated OER

#### 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...

Curated OER

#### Calculus: Derivatives 1

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