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**Earth and space science**

**Mathematics**

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This collection of math problems is based on a weekly series of space and Earth science problems distributed to teachers during the 2013-2014 school year. The problems were intended for students looking for additional challenges in the math and... (View More) physical science curriculum and were created to be authentic glimpses of modern science and engineering issues, often involving actual research data. Includes information for teachers and answer key. (View Less)

This collection of 160 math problems covers the 20 science topic themes presented by the NASA/JPL Year of the Solar System (YOSS) website, covering the solar system, planets, the search for life, and robotics. Examples of topics included are: scale... (View More) of the solar system; asteroids; comets; moons and rings; volcanism in the solar system; ice in the solar system; water in the solar system; the Sun, transits and eclipses; astrobiology; magnetosphers and more. It is intended as a mathematics supplement for the science content presented at the YOSS website, and features grade-appropriate and Common Core State Standards-based math problems based on science content for grades 3-12. (View Less)

In this lesson, learners will construct a 3D scale model of one of the MMS satellites. After, they will calculate the octagonal area of the top and bottom of the satellites, given the measurements of the satellite. Then, learners will compare the... (View More) octagonal cross-section area of the satellites with the circular cross-section area of the launch vehicle to determine if the eight-sided spacecraft will fit the circular rocket hull. This is lesson one of the MMS Mission Educator's Instructional Guide, which uses examples from the MMS Mission to introduce mathematics (focusing on geometry) in a real-world context. The lessons use the 5E instructional cycle. **Note: MMS launched March 12, 2015. For the latest science and news, visit the MMS Mission Website under Related & Supplemental Resources (right side of this page).** (View Less)

In this lesson, learners will first watch a video about the orbit and formation of the MMS satellites to learn about their flight configuration. After, they will research similar facts about other types of satellites. Next, learners will compute the... (View More) volume of MMS' tetrahedral flight configuration and investigate how the tetrahedral volume changes as the satellites change positions. Finally, they will create a report that outlines their findings. This activity requires student access to internet accessible computers. This is lesson three in the MMS Mission Educator's Instructional Guide, which uses examples from the mission to introduce mathematics (focusing on geometry) in a real-world context. The lessons use the 5E instructional cycle. **Note: MMS launched March 12, 2015. For the latest science and news, visit the MMS Mission Website under Related & Supplemental Resources (right side of this page).** (View Less)

In this activity, learners draw a circle with a single focus, an ellipse with two foci close together, and an ellipse with two foci far apart, and compare the shapes. Learners then measure the Sun in four images each taken in a different season,... (View More) comparing the apparent size of the Sun in each image to determine when Earth is closest to the Sun. This is the second activity in the SDO Secondary Learning Unit. The activity is reprinted with permission from the Great Explorations in Math and Science (GEMS). (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 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)

This is a booklet containing 31 problem sets that involve a variety of math skills, including scientific notation, simple algebra, and calculus. Each set of problems is contained on one page. Learners will use mathematics to explore varied space... (View More) science topics including black holes, ice on Mercury, a mathematical model of the Sun's interior, sunspots, the heliopause, and coronal mass ejections, among many others. (View Less)

This is a booklet containing 87 problem sets that involve a variety of math skills, including scale, geometry, graph analysis, fractions, unit conversions, scientific notation, simple algebra, and calculus. Each set of problems is contained on one... (View More) page. Learners will use mathematics to explore varied space science topics in the areas of Earth science, planetary science, and astrophysics, among many others. This booklet can be found on the Space Math@NASA website. (View Less)

This is a lesson about condensation, snow and snowflakes. Learners will investigate how water and ice exist in the atmosphere as they study water vapor condensing, find that clouds are made of tiny droplets of water, and notice that snow forms in... (View More) clouds. Activities include demonstrations by the teacher, small group miming, speaking, drawing, and/or writing. In addition to commonly found classroom materials, dry ice, an aquarium or terrarium container, magnifying glass are needed. This is lesson 6 of 12 in the unit, Exploring Ice in the Solar System. (View Less)