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**Earth and space science**

**Mathematics**

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Emphasizing the synergies between science and engineering, these video clips highlight the research of professional ocean scientists and engineers in various disciplines. The clips are accompanied by additional relevant content including images,... (View More) data visualizations, graphs, animations, and other information. Content has been organized into more than a dozen thematic areas such as Solving Old Problems with New Technology and Small Scale Observations and Large Scale Ideas. All content has been aligned with science and engineering practices from the Next Generation Science Standards, including "asking questions and solving problems" and "planning and carrying out investigations," providing applicable resources for teachers who want to provide role models of effective practice for their students. (View Less)

This set of three videos illustrates how math is used in satellite data analysis. NASA climate scientist Claire Parkinson explains how the Arctic and Antarctic sea ice covers are measured from satellite data and how math is used to determine trends... (View More) in the data. In the first video, she leads viewers from satellite data collection through obtaining a time series of monthly Arctic and Antarctic average sea ice extents for November 1978-December 2016. 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. **Note: See Related & Supplemental Resources for the maps and data files (1978-2016) that will allow you to do the calculations shown in the video. These also include data for different regions of the Arctic and Antarctic, enabling learners to do additional calculations beyond those shown in the videos.** (View Less)

In these math problems, students will examine the characteristics of water droplets in clouds.

This activity is a short engineering design challenge to be completed by individual students or small teams. A real-world problem is presented, designing buildings for hurricane-prone areas, but in a simulated way that works in a classroom, after... (View More) school club, or informal education setting. Students are given simple materials and design requirements, and must plan and build a tower as tall as possible that will hold up a tennis ball while resisting the force of wind from a fan. After the towers are built, the group comes together to test them. If there is time after testing, which can be observational or framed as a contest between teams, students can redesign their towers to improve their performance, or simply discuss what worked well and what didn’t in their designs. (View Less)

Materials Cost: $1 - $5 per group of students

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

The lessons in this book focus on scale and proportion as mathematical topics, using the 5E instructional cycle. Students explore lunar images, and a number of hands-on activities are also provided to allow students to create and explore... (View More) scale-models for spacecraft and lunar craters. (View Less)

This math problem determines the areas of simple and complex planar figures using measurement of mass and proportional constructs. Materials are inexpensive or easily found (poster board, scissors, ruler, sharp pencil, right angle), but also... (View More) requires use of an analytical balance (suggestions are provided for working with less precise weighing tools). 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 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)

In this problem set, learners will analyze an image of carbon dioxide emissions in the continental US in a given year to answer a series of questions. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science... (View More) and Climate Change. (View Less)

In this problem set, learners will use an image of satellite-acquired ocean color data to answer a series of questions about the concentration of phytoplankton in certain areas. Answer key is provided. this is part of Earth Math: A Brief... (View More) Mathematical Guide to Earth Science and Climate Change. (View Less)