Fundamental Theorem of Calculus Teacher Resources

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Instructional Video
Khan Academy

Khan Academy: Calculus: Definite Integrals (Part 4)

For Students 9th - 10th
Video lesson using the fundamental theorem of calculus to find a definite integral. Also includes the beginning of an example of finding the area between two curves. [9:52]
Activity
Texas Instruments

Texas Instruments: Accumulation Functions

For Teachers 9th - 10th
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View explanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus With Theory

For Teachers 9th - 10th
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
Instructional Video
Khan Academy

Khan Academy: 2011 Calculus Ab Free Response #2 (C & D)

For Students 10th
Second fundamental theorem of calculus application.
Activity
Wolfram Research

Wolfram Math World: Integral

For Students 9th - 10th
Good site from MathWorld.com on integration with links to the topics and information needed to help the student understand integration. This site gives the fundamental rules of integration including the integration of the trigonometric...
Activity
Texas Instruments

Texas Instruments: What Is the Number "E"?

For Teachers 9th - 10th Standards
In this activity, students explore the fundamental theorem of calculus. They apply this theorem to understand the number "e" - the base of the natural logarithm. They also use integration and natural logarithmic function to solve a...
Activity
University of St. Andrews (UK)

University of St. Andrews: A History of the Calculus

For Students 9th - 10th
A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Integrals

For Students 9th - 10th
Hotmath provides 24 practice problems dealing with integrals. Each of the practice problems include a step-by-step guide for finding or evaluating the integral.
Handout
Wolfram Research

Wolfram Mathworld: Definite Integral

For Students 9th - 10th
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Handout
Richland Community College

Richland Community College: Mathematical Information

For Students 9th - 10th
This site, which is provided for by the Richland Community College, explains the several mathematical theorems.
Handout
Other

Dans Math: Lessons: Calculus (Part 2)

For Students 9th - 10th
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Instructional Video
Crash Course

Crash Course History of Science #17: Newton and Leibniz

For Students 9th - 10th
Who do we have to thank for inventing calculus? Whether you love or hate it, the credit goes to two people - Sir Isaac Newton and Gottfried Wilhelm von Leibniz. Learn about their myriad of accomplishments in science and math during the...
Activity
Other

Xetc: Integral Definida

For Students 9th - 10th
The concept of definite Integral is presented in an interactive manner. The explanation is detailed and step by step. At the end you will find exercises whose solutions are available.
Instructional Video
Khan Academy

Khan Academy: Swapping the Bounds for Definite Integral

For Students 9th - 10th
A video that shows how to switch bounds in a the definite integral.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: General Forms of Conic Sections

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers changing a general second-degree equation into the standard form of a parabola, ellipse, circle or hyperbola. Students examine guided notes,...

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