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**Earth and space science**

**Mathematics**

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This is a set of one-page problems about distance craft travel on Mars. Learners will use the Pythagorean Theorem to determine distance between a series of hypothetical exploration sites within Gale Crater on Mars. Options are presented so that... (View More) students may learn about the Mars Science Laboratory (MSL) mission through a NASA press release or by viewing a NASA eClips™ video [6 min]. Common Core State Standards for Mathematics and English Language Arts are identified. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school. (View Less)

This is a set of one-page problems about the size and area of solar panels used to generate power. Learners will will use integer arithmetic to tally the number of hydrogen, oxygen and carbon atoms in a molecule and determine the number of methane... (View More) atoms that can result. Options are presented so that students may learn about how NASA is using signs of methane gas to search for life on other planets, such as Mars, through a NASA press release or about how astrobiologists who are looking for life beyond Earth are using spectroscopy to identify methane plumes on Mars by viewing a NASA eClips™ video [7 min]. Common Core State Standards for Mathematics and English Language Arts are identified. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school. (View Less)

This is a set of one-page problems about the size of planets compared to Earth. Learners may use ratios to compare planets within our solar system or those outside of our solar system with the Earth. Options are presented so that students may learn... (View More) about the MESSENGER mission to Mercury through a NASA press release or by viewing a NASA eClips™ video [6 min]. Common Core State Standards for Mathematics and English Language Arts are identified. This activity is part of the Space Math multi-media modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school. (View Less)

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 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 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)

Students explore the evidence for dark matter using the measurements made by the ROSAT X-ray satellite for a small group of galaxies. Prerequisite knowledge: students should be familiar with the Law of Universal Gravitation and able to work with the... (View More) formulas for kinetic and potential energy and the Law of Conservation of Energy. This lesson is part of the Cosmic Times teachers guide and is intended to be used in conjunction with the 1993 Cosmic Times Poster. (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)