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**Earth and space science**

**Mathematics**

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This set of three videos illustrates how math is used in satellite data analysis. The videos feature NASA senior climate scientist Claire Parkinson. Parkinson explains how the Arctic and Antarctic sea ice covers are measured from satellite data and... (View More) how math is used to determine trends in the data. In the first video, she leads viewers from satellite data collection through obtaining a time series of monthly average sea ice extents for November 1978 – December 2012, for the Arctic and Antarctic. In the second video, she begins with the time series from the first video, removes the seasonal cycle by calculating yearly averages, and proceeds to calculate the slopes of the lines to get trends in the data, revealing decreasing sea ice coverage in the Arctic and increasing sea ice coverage in the Antarctic. In the third video, she uses a more advanced technique to remove the seasonal cycle and shows that the trends are close to the same, whichever method is used. She emphasizes the power of math and that the techniques shown for satellite sea ice data can also be applied to a wide range of data sets. (View Less)

In this problem set, students learn about rainfall rates and how to convert them into the volume of water that falls.

This collection of 103 individual sets of math problems derives from images and data generated by NASA remote sensing technology. Whether used as a challenge activity, enrichment activity and/or a formative assessment, the problems allow students to... (View More) engage in authentic applications of math. Each set consists of one page of math problems (one to six problems per page) and an accompanying answer key. Based on complexity, the problem sets are designated for two grade level groups: 6-8 and 9-12. Also included is an introduction to remote sensing, a matrix aligning the problem sets to specific math topics, and four problems for beginners (grades 3-5). (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)

In this problem set, learners will analyze a table of global electricity consumption to answer a series of questions and consider the production of carbon dioxide associated with that consumption. Answer key is provided. This is part of Earth Math:... (View More) A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

In this problem set, learners will analyze a table on the reflectivity of various substances to three kinds of wavelengths in order to answer a series of questions. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to... (View More) Earth Science and Climate Change. (View Less)

In this problem set, learners will analyze a satellite image of the 2010 Deepwater Horizon oil spill on the Gulf of Mexico to answer questions about the extent, density and thickness of the oil leak. Answer key is provided. This is part of Earth... (View More) Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

In this problem set, learners will calculate the parts-per-hundred measure for different scenarios. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change.

In this problem set, learners will calculate the parts-per-thousand measure for different scenarios, including ocean salinity as depicted in the image included. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth... (View More) Science and Climate Change. (View Less)

In this problem set, learners will analyze a graph of the reflectivity of soil and two kinds of vegetation to understand how scientists use these measures to identify different materials. Answer key is provided. This is part of Earth Math: A Brief... (View More) Mathematical Guide to Earth Science and Climate Change. (View Less)