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Worksheet
Curated OER

Finding Roots and Newton's Method

For Students Higher Ed
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Worksheet
Curated OER

Applications of Derivatives: Finding Maxima and Minima

For Students Higher Ed
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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Worksheet
Curated OER

Quiz 7: Multivariable Calculus

For Students 12th - Higher Ed
Test your learners' calculus skills with this quiz, the first page of which includes instructions and an honor pledge. On the second page, students find the maximum and minimum values of the of an identified figure with given...
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Worksheet
Curated OER

Worksheet: Phase Diagrams

For Students 10th - 12th
In this phase diagram worksheet, students complete 7 fill in the blank questions about three different diagrams. Triple point, critical pressure, and critical temperature for water and carbon dioxide are examples of items identified on...
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eBook
OpenStax

Open Stax: College Physics: Phase Changes

For Students 11th - 12th
Learn about the phases of matter in this section of a college textbook. Section defines the phases of matter and discusses how to interpret a phase diagram. Also explored is partial pressures and Dalton's Law. Section also includes...
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Activity
Texas Instruments

Texas Instruments: Critical Points

For Teachers 9th - 10th
This activity involves analyzing a function for its critical values.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Puntos Caracteristicos, Criticos Y Singulares

For Students 9th - 10th
Use this interactive unit to learn and use analysis tools that allow the location and calculation of the extreme value of a function on a closed interval.
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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Maximum and Minimum Values

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the local maxima and minima of functions by using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student...
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Article
Lawrence Berkeley National Laboratory

Berkeley Lab: Phases of Nuclear Matter

For Students 9th - 10th
A brief explanation of determining the temperature and density at which the critical point of nuclear matter is located.