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**Earth and space science**

**Mathematics**

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This series of laboratory lessons and activities uses authentic solar imagery and data to introduce students to solar science. Students are asked to explore details in imagery, including how to deal with the issues of noise and resolution, and... (View More) understand scale. They are introduced to the concept of space weather and how that affects both observing instruments and the Earth. Students learn about spectra, how helium and coronium were discovered, and go on to explore real spectra from the Sun. Most activities are mathematically based, and targeted for grades 9-10. Imagery is included from NASA/ESA's SOHO mission, NASA's SDO mission, and Japan's Hinode satellite. (View Less)

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

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)

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)

Learners will be introduced to the concepts of error analysis, including standard deviation. They will apply the knowledge of averages (means), standard deviation from the mean, and error analysis to their own classroom distribution of heights. They... (View More) will then apply this knowledge to data from the Student Dust Counter (SDC) onboard the New Horizons mission to determine the issues associated with taking data, including error and noise. **Note:** Updated links to the Student Dust Counter Data Viewer and website are provided under Related & Supplemental Resources (right). (View Less)

In this problem set, learners will calculate the parts-per-hundred measure for different scenarios. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change.

This is a booklet containing 37 space science mathematical problems, several of which use authentic science data. The problems involve math skills such as unit conversions, geometry, trigonometry, algebra, graph analysis, vectors, scientific... (View More) notation, and many others. Learners will use mathematics to explore science topics related to Earth's magnetic field, space weather, the Sun, and other related concepts. This booklet can be found on the Space Math@NASA website. (View Less)

In this problem set, learners will analyze a figure showing four re-entry scenarios for the Hubble Space Telescope. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change.

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)