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AP Test Prep9:56
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Flipped Math

Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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AP Test Prep14:50
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Flipped Math

Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

For Students 10th - 12th
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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Worksheet
Curated OER

Applications of Derivatives: Optimization

For Students Higher Ed
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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Worksheet
Curated OER

Multivariable Calculus: Extrema of Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
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Worksheet
Curated OER

Analyze This Function

For Students 11th - 12th
For this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
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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Lesson Plan
Curated OER

Gradient Search

For Teachers 11th - Higher Ed
Students explore the concept of a gradient search. In this gradient search instructional activity, students use the Gradient Search Algorithm to locate critical points, maximums, minimums, and answer questions in this problem solving...
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Worksheet
Curated OER

The Plasmasphere

For Students 8th - 10th
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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Worksheet
Curated OER

Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
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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Lesson Plan
Curated OER

How Fair is International Trade?

For Teachers 9th - 12th
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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Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
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Lesson Plan
Curated OER

Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson plan, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
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Lesson Plan
Curated OER

Classifying Functions

For Teachers 11th
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...
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Lesson Plan
Curated OER

Engineering in a Calculus Classroom

For Teachers 11th - 12th
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.