Texas Instruments
Texas Instruments: Average Value
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
Texas Instruments
Texas Instruments: Area Under the Curve
In this activity, students explore the relationship between the area under the graph of a function and the integral of the function.
Math2
Math2.org: Integral Identities
A formal definition of integrals, followed by three examples of the Fundamental Theorem for Integrals of Derivatives.
Live Wire Media
Good Character: Trustworthiness
Material at this website is meant to accompany a video in the "In Search of Character" series. However, a self-evaluation quiz, definition of "Trust," discussion questions, writing assignments, and activity ideas can be used with...
Texas Instruments
Texas Instruments: The Region Between Two Curves
This activity is an application of integration. Students use calculus to find the area of a region and the volumes of solids generated by the region. They use the CAS of their TI-89 and calculus to determine the exact answers.
Texas Instruments
Texas Instruments: Sands of Time
In this activity, students can use a graphing calculator to find a regression equation and then interpolate the data from the equation using integration. They will explore the length of day during the winter and summer solstice at...
Texas Instruments
Texas Instruments: It's Outta Here!
This activity uses the graphing calculator and the CBR(tm) to determine how far a baseball will travel and if it would be a homerun at a Major League baseball game. This activity uses differential equations to determine the distance...
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
CK-12 Foundation
Ck 12: Analysis: Definition of a Limit
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
TeachEngineering
Teach Engineering: A Chance at Monte Carlo
At its core, the LEGO MINDSTORMS product provides a programmable microprocessor. Students use the EV3 processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying...
TeachEngineering
Teach Engineering: Renewable Energy Living Lab
Students become familiar with the online Renewable Energy Living Lab interface and access its real-world solar energy data to evaluate the potential for solar generation in various U.S. locations. They become familiar with where the most...
TeachEngineering
Teach Engineering: Discovering Phi: The Golden Ratio
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...
TeachEngineering
Teach Engineering: Club Function
Students explore the definition of a function by playing an interactive game called "Club Function." The goal of the game is to be in the club! With students each assigned to be either a zebra or a rhinoceros, they group themselves...
TeachEngineering
Teach Engineering: Caught in the Net
Bycatch can be defined as the act of unintentionally catching certain living creatures using fishing gear. A bycatched species is distinguished from a target species (the animal the gear is intended to catch) because it is not sold or...
TeachEngineering
Teach Engineering: Sounds Like Music
Music can loosely be defined as organized sound. The lesson objectives, understanding sound is a form of energy, understanding pitch, understanding sound traveling through a medium, and being able to separate music from sound, can...
University of Arizona
Math Lesson: Calculating Parts Per Million: Do We Have a Problem Here?
Twelfth graders test solutions to determine the parts per million and whether a lake is contaminated.
Other
Multimedia Schools: Moving Every Child Ahead the Big6
This article looks at applying the Big6 process to issues raised by No Child Left Behind legislation. The goal of the Big6 process is to improve performance by improving thinking through application of information technology skills. This...
Other
Math Mistakes: Common Calculus Mistakes
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
Texas Instruments
Texas Instruments: Ti 89 Riemann Sum Activities for Calculus
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables
The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.
University of California
University of California, Davis: The Calculus Page
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
Math Open Reference
Math Open Reference: Riemann Sums
A complete reference guide to Riemann Sums. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
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