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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)

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)

In this problem set, learners will consider the temperature in Kelvin of various places in the universe and use equations to convert measures from the three temperature scales to answer a series of questions. Answer key is provided. This is part of... (View More) Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

In this problem set, learners will refer to the tabulated data used to create the Keeling Curve of atmospheric carbon dioxide to create a mathematical function that accounts for both periodic and long-term changes. They will use this function to... (View More) answer a series of questions, including predictions of atmospheric concentration in the future. A link to the data, which is in an Excel file, as well as the answer key are provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (View Less)

In this problem set, learners will create and use a differential equation of rate-of-change of atmospheric carbon dioxide. They will refer to the "Keeling Curve" graph and information on the sources and sinks of carbon on Earth to create the... (View More) equation and apply it to answer a series of questions. Answer key is provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change. (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 lesson is a case study of atmospheric ozone levels developed from observations over Thule, Greenland in 2002. Students will download a composite graph of this stratospheric ozone data taken from two different sources: the SAGE III satellite and... (View More) an ozone sensor on a weather balloon. Instructions for downloading the graph to either a computer or a graphing calculator (the TI-84 Silver Plus is recommended) are included in the lesson. Students will then compare and analyze the two data sets shown on the graph. Emphasis is placed on the applicability of using the weather balloon data to validate the satellite data. This lesson uses student- and citizen science-friendly microsets of authentic NASA Earth system science data from the MY NASA DATA project. It also includes related links, extensions, and an online glossary. (View Less)

This is a lesson about the design and operation of an ion propulsion engine. Learners will study the essential components and variables of an ion propulsion system. Activities include an on-line ion propulsion engine simulation and design. Included... (View More) are changes in energy and fuel consumption as a result of variable changes (dependent/independent variable relationships). This is activity 5 of 5 in Structure and Properties of Matter: Ion Propulsion. (View Less)