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**Earth and space science**

**Mathematics**

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This is a collection of mathematical problems about transits in the solar system. Learners can work problems created to be authentic glimpses of modern science and engineering issues, often involving actual research data.

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 an activity about coronal mass ejections. Learners will calculate the velocity and acceleration of a coronal mass ejection, or CME, based on its position in a series of images from the Large-Angle Spectrometric Coronograph (LASCO) instrument... (View More) on NASA's Solar and Heliospheric Observatory (SOHO) spacecraft. This is Activity 2 of a larger resource, Exploring the Sun. The NASA spacecraft missions represented by this material include SOHO, TRACE, STEREO, Hinode, and SDO. (View Less)

You can find statistics in every day life - this example explains how to calculate the chance of a member of a committee is receiving a bribe. This 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)

In a mechanical demonstration of the Pythagorean theorem, this example provides a practical, hands-on method for deriving square roots using a carpenter's square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of... (View More) 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 website provides an overview of ocean surface circulation. Satellite and model data allows high school students to investigate circulation patterns, navigation, associated weather and climate, natural hazards and marine resources. There are... (View More) five lessons affiliated with this site; the teacher and student guides to each can be accessed directly from the home page. (Note that these lessons are cataloged individually.) Other links provide information on background, impact, gathering data, researchers, data resources and a glossary. There are also online quizzes on the home page on navigation, coriolis force, satellites, ocean warming, energy balance, and ocean gyres. (View Less)

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the extent that simple numeric calculations can be demonstrated geometrically. This... (View More) example illustrates one such geometric process of addition. 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)

It is common in the real world to see mathematical examples where the cents sign was used when the dollar sign was supposed to be used. Converting and comparing decimals and fractions can help clear up this misconception. Two real coupons clipped... (View More) from a Sunday paper coupon section are included in this activity. 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 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)