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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)

This worksheet introduces students to the Aura satellite and its Ozone Monitoring Instrument (OMI). Students are asked to visit the Aura website and examine OMI data visualizations to learn about emissions of atmospheric gases such as sulfur... (View More) dioxide, nitrogen oxide and nitrogen dioxide. Students gain experience interpreting OMI data visualizations and are asked to consider implications for climate and human health. (View Less)

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

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)

Math skills are applied throughout this investigation of windows. Starting with basic window shapes, students determine area and complete a cost analysis, then do the same for windows of unconventional shapes. Students will examine photographs taken... (View More) by astronauts through windows on the Space Shuttle and International Space Station to explore the inverse relationship between lens size and area covered. This lesson is part of the Expedition Earth and Beyond Education Program. (View Less)

This is an activity about the period of the Sun’s rotation. Learners will select images of the Sun from the SOHO spacecraft image archive. Next, they will calculate an image scale for the selected solar images. Then, they will use it to help... (View More) determine the actual speed of sunspots based on measurements of their motion in the selected Sun images and, finally, determine the period of the Sun's rotation. This activity requires access to the internet to obtain images from the SOHO image archive. This is Activity 3 of the Space Weather Forecast curriculum. (View Less)

This self-paced, interactive tutorial enables learners to identify and measure iceberg size from remotely-sensed satellite images. Two techniques are explored: the geometric shape method, which provides a rapid rough estimate of area; and the pixel... (View More) count method, which employs special software to measure the size more accurately. This resource is part of the tutorial series, Satellite Observations in Science Education, and is the second of three modules in the tutorial, Hunting Icebergs. (Note: requires Java plug-in) (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.

This self-paced, interactive tutorial guides learners through the decision-making process in locating data that will enable the identification of tabular icebergs, including: selecting the appropriate satellite orbit, and identifying the optimal... (View More) solar and infrared wavelength values to discriminate between water and ice in remotely-sensed images. This resource is part of the tutorial series, Satellite Observations in Science Education, and is the first of three modules in the tutorial, Hunting Icebergs. (Note: requires Java plug-in) (View Less)

This is an activity about measurement. Learners will label key points and features on a rectangular equal-area map and measure the distance between pairs of points in order to calculate the actual physical distance on the Sun that the point pairs... (View More) represent. This is Activity 5 of the Space Weather Forecast curriculum. (View Less)