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**Mathematics**

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This excercise uses "the birthday problem," a well-known probability riddle with a surprising result. It serves as a calculator exercise for students and beginning computer programmers. This resource is from PUMAS - Practical Uses of Math and... (View More) 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 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)

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)

This series of example calculations applies basic trigonometry to to calculate the altitude of satellites and Iridium satellite flares. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by... (View More) 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)

In this resource, the author uses graphing and the linear scale to explain what logarithms are then describes examples that show how logarithms are used in the field of engineering. Examples include vibration levels in the Space Shuttle and the... (View More) Richter Scale for earthquakes. 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 a lawyer's use of some very simple science and math. The case involves a $26 million lawsuit over a construction waste landfill and lead contamination. 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)

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)