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**Mathematics**

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This resource describes the physics behind the formation of clouds, and provides a demonstration of those principles using a beaker, ice, a match, hot water, and a laser pointer. This resource is from PUMAS - Practical Uses of Math and Science - a... (View More) collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This article is about the isoperimetric theorem. It states the theorem, explains its history and uses examples and exercises to demonstrate it. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created... (View More) by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This story can be used to teach that results must be checked against known facts to see if they're reasonable. It is designed as a follow up to "The Fall of the Ruler." This resource is from PUMAS - Practical Uses of Math and Science - a collection... (View More) of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

Logarithms are very handy when dealing with numbers at different scales but they are also useful helping us average measurements of physical phenomena that have nonlinear behavior. In this example, students learn about cloud albedo and calculating... (View More) cloud optical depth. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

Scientists use estimates as a check on more precise measurements; estimation is an easy way to quantify early hypotheses that can be tested or checked later in formal analysis. This article describes a number of examples of the use of estimating the... (View More) answers. The activity is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This exercise shows a practical application of trigonometry in the aviation environment, where student pilots consider the relationship between altitude and distance to complete a landing. It requires a scientific calculator. This resource is from... (View More) PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

This resource describes the slide rule as an analog computer, and uses the slide rule to demonstrate the concept of isomorphism, which is one of the most pervasive and important concepts in mathematics. This resource is from PUMAS - Practical Uses... (View More) of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

In this example, a computer scientist describes how the remainder in integer division has utility in pattern recognition and in computer programming. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples... (View More) created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)