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**Earth and space science**

**Mathematics**

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This collection of math problems is based on a weekly series of space and Earth science problems distributed to teachers during the 2013-2014 school year. The problems were intended for students looking for additional challenges in the math and... (View More) physical science curriculum and were created to be authentic glimpses of modern science and engineering issues, often involving actual research data. Includes information for teachers and answer key. (View Less)

This series of laboratory lessons and activities uses authentic solar imagery and data to introduce students to solar science. Students are asked to explore details in imagery, including how to deal with the issues of noise and resolution, and... (View More) understand scale. They are introduced to the concept of space weather and how that affects both observing instruments and the Earth. Students learn about spectra, how helium and coronium were discovered, and go on to explore real spectra from the Sun. Most activities are mathematically based, and targeted for grades 9-10. Imagery is included from NASA/ESA's SOHO mission, NASA's SDO mission, and Japan's Hinode satellite. (View Less)

This is an online set of information about astronomical alignments of ancient structures and buildings. Learners will read background information about the alignments to the Sun in such structures as the Great Pyramid, Chichen Itza, and others.... (View More) Next, the site contains 10 short problem sets that involve a variety of math skills, including determining the scale of a photo, measuring and drawing angles, plotting data on a graph, and creating an equation to match a set of data. Each set of problems is contained on one page and all of the sets utilize real-world problems relating to astronomical alignments of ancient structures. Each problem set is flexible and can be used on its own, together with other sets, or together with related lessons and materials selected by the educator. This was originally included as a folder insert for the 2010 Sun-Earth Day. (View Less)

This is an activity about the Signal-to-Noise Ratio. Learners will engage with a hands-on activity and an online interactive to understand the terms signal and noise as they relate to spacecraft communication; quantify noise using a given dataset;... (View More) and calculate the signal-to-noise ratio. The activity also includes a pencil-and-paper component that addresses relevant topics, such as proportions and ratios. Includes teacher background information, student data sheets, answer guide, extensions and adaptions. (View Less)

This is a booklet containing 31 problem sets that involve a variety of math skills, including scientific notation, simple algebra, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space... (View More) science topics including black holes, ice on Mercury, a mathematical model of the Sun's interior, sunspots, the heliopause, and coronal mass ejections, among many others. (View Less)

This is a lesson about the science supporting the design and operation of an ion propulsion engine. Learners will study the concepts of formation and discharge of charged particles, attractive and repulsive forces between charged particles, and the... (View More) properties of ions in the plasma phase. The lesson may or may not be completed on-line. This is activity 2 of 5 in Structure and Properties of Matter: Ion Propulsion. (View Less)

Learners will study the essential components and variables of an ion propulsion system. Activities include an on-line ion propulsion engine simulation and design. Included are changes in energy and fuel consumption as a result of variable changes... (View More) (dependent/independent variable relationships). This is activity 5 of 5 in Structure and Properties of Matter: Ion Propulsion. (View Less)