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**Earth and space science**

**Mathematics**

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This is a booklet containing 96 mathematics problems involving skills relating to algebra, fractions, graph analysis, geometry, measurement, scale, calculus, and other topics. Learners will use mathematics to explore NASA science and space... (View More) exploration content relating to space weather, the study of the Sun and its interactions with Earth. Each problem or problem set is introduced with a brief paragraph about the underlying science, written in a simplified, non-technical jargon where possible. Problems are often presented as a multi-step or multi-part activities, and there are problem sets for learners in grades 3-5, 6-8 and 9-12. This booklet can be found on the Space Math@NASA website. (View Less)

This is a lesson about the path of one xenon ion through an ion propulsion engine. Learners will focus on what a single xenon ion sees and does as it goes through the reactions and processes that provide the ion jet propulsion engine's thrust. They... (View More) will learn to adopt an informed, experimental method for use in a later lesson. A tightly-scripted slide-by-slide presentation is provided. Preconceptions are discussed. This is activity 4 of 5 in Structure and Properties of Matter: Ion Propulsion. (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)

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)

This resource introduces the concept of wind chill, the formula used to measure it and relates it to the causes of hypothermia. A simple experiment using a pie pan, sand, fan and a thermometer demonstrates this concept. The resource is from PUMAS -... (View More) 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 example explains what celestial objects a person can see with the unaided eye from the vantage points of Earth and Mars, using simple math, algebra and astronomical distance information. This resource is from PUMAS - Practical Uses of Math... (View More) 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)