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**Mathematics**

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This math problem determines the areas of simple and complex planar figures using measurement of mass and proportional constructs. Materials are inexpensive or easily found (poster board, scissors, ruler, sharp pencil, right angle), but also... (View More) requires use of an analytical balance (suggestions are provided for working with less precise weighing tools). 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)

Students explore the evidence for dark matter using the measurements made by the ROSAT X-ray satellite for a small group of galaxies. Prerequisite knowledge: students should be familiar with the Law of Universal Gravitation and able to work with the... (View More) formulas for kinetic and potential energy and the Law of Conservation of Energy. This lesson is part of the Cosmic Times teachers guide and is intended to be used in conjunction with the 1993 Cosmic Times Poster. (View Less)

This is a resource that explains the rationale behind the multiple time zone divisions in the United States. Learners will work through a problem set to practice calculating the time in one time zone, given the time in another time zone. This is... (View More) activity 9 from the educator guide, Exploring Magnetism: Magnetic Mysteries of the Aurora. (View Less)

This article discusses an example of a practical use of the square root of 2 by explaining how this irrational number figures in printing two pages on one side of A series-sized paper. This resource is from PUMAS - Practical Uses of Math and Science... (View More) - 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)

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)

This math problem demonstrates the concept of geometric progression, through an example of a million dollar contract between an employee and an employer. Application of the concept of geometric progression to social cause activism is addressed. This... (View More) 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 simple example shows how algebra can be useful in the real world by exploring the question: Should Grandpa start receiving his Social Security benefits at age 62 or should he wait until age 65? This resource is from PUMAS - Practical Uses of... (View More) 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)

Some simple arithmetic can help put the quantity of fuel in a potential oil spill - in this case 400,000 gallons - in perspective. In this example, students calculate the area that would be covered by oil from the volume measurement. This resource... (View More) 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)

In this example, a carpenter uses the Pythagorean theorem to make sure the corners of his cabinets are square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers... (View More) showing how math and science topics taught in K-12 classes have real world applications. (View Less)