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**Earth and space science**

**Mathematics**

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Introduce learners to Cubesats - much smaller (1000 cm3) satellites that are being used to gather scientific data and enhance NASA’s space exploration goals. This series of short YouTube videos provides background information, size comparisons,... (View More) component and construction details, and the science behind this new generation of satellites. Includes links to related resources and background information. The Real World series of NASA eClips™ connects classroom mathematics to 21st century careers and innovations and are designed for students to develop an appreciation for mathematics through real-world problem-solving. (View Less)

NuSTAR has a 10-meter rigid mast that separates the optics from the detector. Inspired by this, students will design, test, and build a lightweight mast 1 meter tall that can fully support the weight of a typical hardcover textbook (~2 kg). The... (View More) footprint of the mast must be no larger than 11" x 14". This activity is from the NuSTAR Educators Guide: X-Rays on Earth and from Space, which focuses on the science and engineering design of NASA's NuSTAR mission. The guide includes a standards matrix, assessment rubrics, instructor background materials, and student handouts. (View Less)

Students will use the law of reflection to reflect a laser beam off multiple mirrors to hit a sticker in a shoebox. Since X-ray telescopes must use grazing angles to collect X-rays, students will design layouts with the largest possible angles of... (View More) reflection. This activity is from the NuSTAR Educators Guide: X-Rays on Earth and from Space, which focuses on the science and engineering design of NASA's NuSTAR mission. The guide includes a standards matrix, assessment rubrics, instructor background materials, and student handouts. (View Less)

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)

Students will learn about the Transit of Venus through reading a NASA press release and viewing a NASA eClips™ video that describes several ways to observe transits. Then students will study angular measurement by learning about parallax and how... (View More) astronomers use this geometric effect to determine the distance to Venus during a Transit of Venus. This activity is part of the Space Math multimedia modules that integrate NASA press releases, NASA archival video, and mathematics problems targeted at specific math standards commonly encountered in middle school textbooks. The modules cover specific math topics at multiple levels of difficulty with real-world data and use the 5E instructional sequence. (View Less)

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 calculate area fractions to compare the sizes and distances of Jupiter's moons. Options are presented so that students may learn about... (View More) the Juno mission through a NASA press release or about how solar energy is used by various NASA satellites and technology by viewing a NASA eClips™ video [3 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)