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**Earth and space science**

**Mathematics**

**The nature of science**

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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 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)

This is a set of one-page problems about how astronomers use coordinate systems. Learners will plot a constellation on a coordinate plane and/or plot the route of Mars Science Lab (MSL aka Curiosity) on the surface of Mars. Options are presented so... (View More) that students may learn about the MSL mission through a NASA press release or about the coordinate plane 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 scale of objects in images returned by spacecraft. Learners will measure scaled drawings using high-resolution images of the lunar and martian surfaces. Options are presented so that students may learn... (View More) about the Lunar Reconnaissance Orbiter (LRO) mission through a NASA press release or by viewing a NASA eClips™ video [4 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 calculating the volume of objects. Learners may calculate the volume of an asteroid, Vesta, or the stacking of satellites inside an atlas V rocket nose cone. Options are presented so that students may learn... (View More) about the Dawn mission to asteroid Vesta through a NASA press release or about NASA's investigation of comets by viewing a NASA eClips™ video [5 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)

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)

In a mechanical demonstration of the Pythagorean theorem, this example provides a practical, hands-on method for deriving square roots using a carpenter's square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of... (View More) brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the extent that simple numeric calculations can be demonstrated geometrically. This... (View More) example illustrates one such geometric process of addition. 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)

In this activity, students learn the basics of the horizon, direction and the rising and settings of the Sun and stars by making a schoolyard "medicine wheel" with sidewalk chalk on playground asphalt. Medicine wheels are stone rings constructed by... (View More) the Plains people of North America which may have been used as a calendar system based on observations of objects in the sky. This activity requires a flat area at least 6 meters across – preferably asphalt or concrete – that has a good view of the sky. It can be done as a whole class activity. Part 1 of this activity involves constructing the medicine wheel (about 10-15 minutes). Part 2 of this activity involves making ongoing observations throughout the year at noon (about 10-15 minutes for each observation). Part 3 involves making observations from the wheel during after-school hours to observe the rising or setting points of stars, the Sun and Moon. Discussion questions, background information and a math extension activity are included. This activity is the second lesson in the Ancient Eyes Look to the Skies curriculum guide. (View Less)

Problem: How do you measure an angle with a protector, when that angle is between two solid walls? This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math... (View More) and science topics taught in K-12 classes have real world applications. (View Less)