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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AP Calculus AB

For Students 11th - 12th
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...
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73 Items in Unit
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AP Calculus AB Unit 6: Integration and Accumulation of Change

For Teachers 11th - 12th
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,...
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40 Items in Unit
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AP Calculus AB Unit 3: Differentiation - Composite, Implicit, and Inverse Functions

For Students 11th - 12th
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...
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46 Items in Unit
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AP Calculus AB Unit 4: Contextual Applications of Differentiation

For Students 11th - 12th
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...
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47 Items in Unit
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AP Calculus AB Unit 7: Differential Equations

For Teachers 11th - 12th
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...
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103 Items in Unit
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AP Calculus AB Unit 1: Limits and Continuity

For Students 11th - 12th
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...
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64 Items in Unit
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AP Calculus AB Unit 2: Differentiation - Definition and Fundamental Properties

For Students 11th - 12th
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...
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73 Items in Unit
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AP Calculus AB Unit 5: Analytical Applications of Differentiation

For Students 11th - 12th
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....
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29 Items in Topic
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Krista King Math: Pre-Calculus

For Students 11th - Higher Ed Standards
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...
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31 Items in Topic
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Krista King Math: Derivatives

For Students 11th - Higher Ed Standards
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...
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38 Items in Assessment Set
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Balanced Assessment: Advanced High School Math Packet

For Teachers 11th - 12th Standards
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...
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Instructional Video9:50
Khan Academy

Power Rule Introduction (Old) Taking derivatives, Differential Calculus

For Students 11th - Higher Ed
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...
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eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
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,...
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PPT
Portland
 State
 University

Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

For Teachers 11th - 12th
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...
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AP Test Prep
College Board

2016 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
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eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
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...
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AP Test Prep
College Board

2018 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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.
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AP Test Prep
College Board

2018 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
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...
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AP Test Prep
College Board

2017 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
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...
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Instructional Video17:05
3Blue1Brown

Essence of Calculus, Chapter 1

For Students 11th - Higher Ed
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...
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Instructional Video1:47
1
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Educator.com

The Second Fundamental Theorem of Calculus

For Students 11th - Higher Ed
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...
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AP Test Prep
College Board

2017 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
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...
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Workbook
Curated OER

The AP Calculus Problem Book

For Students 11th - Higher Ed Standards
Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.

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