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Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
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Applications of Derivatives: Optimization
In this optimization worksheet, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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The Plasmasphere
In this plasmasphere worksheet, students read about the dilute region of gases 10,000 kilometers above the Earth where atoms are ionized. Students use a photograph taken by the IMAGE EUV instrument to answer 3 questions about the...
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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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How Fair is International Trade?
Students research the concept of transnational corporations and investigate the details of one particular TNC. They then compare the Gross National Products of a range of countries to the profits of the TNCs.
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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Applications of Derivatives: Finding Maxima and Minima
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
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Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...