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**Earth and space science**

**Mathematics**

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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 a math-science integrated unit about spectrographs. Learners will find and calculate the angle that light is transmitted through a holographic diffraction grating using trigonometry. After finding this angle, the students will build their... (View More) own spectrographs in groups and research and design a ground or space-based mission using their creation. After the project is complete, student groups will present to the class on their trials, tribulations, and findings during this process. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

This is an activity about detecting elements by using light. Learners will develop and apply methods to identify and interpret patterns to the identification of fingerprints. They look at fingerprints of their classmates, snowflakes, and finally... (View More) "spectral fingerprints" of elements. They learn to identify each image as unique, yet part of a group containing recognizable similarities. The activity is part of Project Spectra, a science and engineering program for middle-high school students, focusing on how light is used to explore the Solar System. (View Less)

In this problem set, learners will refer to the tabulated data used to create the Keeling Curve of atmospheric carbon dioxide to create a mathematical function that accounts for both periodic and long-term changes. They will use this function to... (View More) answer a series of questions, including predictions of atmospheric concentration in the future. A link to the data, which is in an Excel file, as well as the answer key are provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

In this problem set, learners will create and use a differential equation of rate-of-change of atmospheric carbon dioxide. They will refer to the "Keeling Curve" graph and information on the sources and sinks of carbon on Earth to create the... (View More) equation and apply it to answer a series of questions. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

This is a booklet containing 15 problems that incorporate data and information from the Hinode solar observatory. The problems involve math skills such as finding the scale of an image to determine actual physical sizes in images, time calculations,... (View More) volumes of cylinders, graph analysis, and scientific notation. Learners will use mathematics to explore solar science topics such as sunspot structure, spectroscopy, solar rotation, magnetic fields, density and temperature of hot gases, and solar flares. This booklet can be found on the Space Math@NASA website. (View Less)