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119 reviewed resources for fundamental theorem of calculus

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Other Resource Types ( 119 )
38 Items in Collection
Lesson Planet

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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The Fundamental Theorem of Calculus

For Teachers 10th - 12th
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...
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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...
1 In 1 Collection 1:46
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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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Fundamental Theorem of Calculus

For Teachers 10th - 12th
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...
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The Fundamental Theorems of Calculus

For Teachers 11th - Higher Ed
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The...
1 In 1 Collection
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Fundamental Theorems of Mathematics

For Teachers 9th - Higher Ed
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true. 
11:56
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Part 1 of the Dreaded Fundamental Theorem of Calculus!

For Students 11th - Higher Ed
Use the Fundamental Theorem of Calculus to find a derivative. With an example, pupils observe how being to derive a formula to help determine the derivative of any given integral. The video derives the formula using the first part of the...
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Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions

For Students 10th - 12th
New ReviewConnect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
4:48
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Fundamental Theorem of Calculus Part 2

For Students 11th - Higher Ed
Use the Fundamental Theorem, not just look at it. Learners watch as the video walks viewers through finding the definite integral of a trigonometric function. The presenter provides helpful suggestions as she evaluates the example...
20:45
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Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8

For Students 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
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The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem learning exercise, students find the antiderivative of a function. This two page learning exercise contains five multi-step problems.
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The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
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The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus instructional activity, 12th graders differentiate between the area under the curve and the definite integral as it...
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The Area Function

For Teachers 11th - 12th
Students explore the concept of area under a curve.  In this area under a curve lesson, students find integrals of various functions.  Students use their Ti-Nspire to graph functions and find the area under the curve using the...
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The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. In this calculus activity, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Accumulation Functions

For Teachers 12th
Twelfth graders explore functions defined by a definite integral.  In this Calculus instructional activity, 12th graders investigate accumulation functions in which a variable is a limit of integration.  The instructional activity is...
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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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Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
17:04
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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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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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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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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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