<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <META NAME="ROBOTS" CONTENT="INDEX, FOLLOW"> <meta name="description" content="This website offers teachers and students authentic mathematics problems based upon NASA press releases, mission science results, and other sources. All problems are based on STEM, common core standards and real-world applications for grades 3 to 12 and beyond."> <title>Welcome to Space Math @ NASA !</title> <link rel="stylesheet" type="text/css" href="css/reset.css" media="projection, screen" /> <link rel="stylesheet" type="text/css" href="css/base.css" media="projection, screen"/> <link rel="stylesheet" type="text/css" href="css/dropdown.css" media="projection, screen"/> <link rel="stylesheet" type="text/css" href="css/BlueTheme.css" media="projection, screen"/> <script src="js/jquery-1.4.2.min.js" type="text/javascript" ></script> <!--[if IE 6]> <link rel="stylesheet" type="text/css" href="css/ie6.css" media="projection, screen"/> <script src="js/DD_belatedPNG_0.0.8a-min.js" type="text/javascript" ></script> <script> DD_belatedPNG.fix('div#bannerImg, li.tab1-on, li.tab1-off, li.tab-on, li.tab-off, #footer-signature, img'); </script> <![endif]--> </head> <body> <div id="page-wrapper"> <div id="page"> <div id="nasaHeader"> <div> <a href="http://www.nasa.gov" class="imageLink"><img src="images/nasa_header_logo1.gif" alt="NASA Logo, National Aeronautics and Space Administration" width="140" height="98" /></a> </div><!--class="nasaLogo"--> <div id="headerTxtWrapper"> <h1><a href="http://www.nasa.gov">National Aeronautics and Space Administration</a></h1> <h2><a href="http://www.nasa.gov/goddard/">Goddard Space Flight Center</a></h2> </div><!--headerTxtWrapper--> <div id="searchbox"> <h3>Search:</h3> <form action="searchresult.html" method="post" id="search" name="search"> <input type="text" name="srchField" id="srchField" value="" title="srchField" size="10" class="flt_left"> <input width="49" height="22" type="image" alt="Search" src="images/search_go.jpg" onclick="this.form.submit();" class="flt_left"> <input type="hidden" value="search.quick" id="fuseaction" name="fuseaction"> </form> <div class="divClear"></div> <p> <a href="http://fpd.gsfc.nasa.gov/">Flight Projects</a> <span class="listdevider">| </span> <a href="http://sciences.gsfc.nasa.gov/sed/index.cfm?fuseAction=home.main&&navOrgCode=600&navTab=nav_about_us">Sciences and Exploration</a> </p> </div> </div><!--id = nasaHeader --> <div class="hidden"> <a href="#skipping" title="Skip Navigation" accesskey="2">Skip Navigation (press 2)</a> </div> <div id="banner"> <!-----------------------> <!--TOP MENU GOES HERE --> <!-----------------------> <div id="tabs"> <ul id="menu"> <li id="tab0" class="tab-on active"><a href="media.html" >STEM Modules</a></li> <li id="tab1" class="tab-on active"><a href="ILabs.html" >Interactive Spreadsheets</a></li> <li id="tab2" class="tab-on active"><a href="books.html" >Problem Books</a></li> <li id="tab3" class="tab-on active"><a href="SpaceMath.html" >Home</a></li> </ul> </div><!--TABS SECTION END HERE--> <!--BANNER IMAGE GOES HERE--> <div id="bannerImg"> <a href="#"><img src="images/nasa-bnr-empty.png" alt="Space Math at NASA" width="900"></a> </div><!--id=bannerImg--> </div><!--id=banner--> <div class="divClear"></div> <div id="topMenu"> <ul id="menu"> <li id="tab6" class="active"><a href="news.html" >Math in Press Releases</a></li> <li id="tab7" class="active"><a href="mission.html">Math by NASA Mission</a></li> <li id="tab4" class="active"><a href="grade.html">Math by Grade Level</a></li> <li id="tab5" class="active"><a href="space.html">Math by Space Topic</a></li> <li id="tab8" class="active"><a href="Standards.html">NGSS and CCSS-M</a></li> </ul> </div><!--id="topMenu"--> <!-----------------------> <!-----Top menu block ends here ---------> <!---------------------------------------> <div id="content"> <a name="skipping" id="skipping"></a> <div id="content-wrapper"> <div class="maincontent" id="TwoColumn"> <h2>Moon Math Problems</h2> <div class="full-width-content-item"> <! ****************************************************************************************** insert text below> <p> <p> <!-- Begin moon Problems Update --> <p> <b>Problem 607: The Launch of LADEE to the Moon </b> <br>Students plot the altitude, range and speed of the LADEE rocket launch and investigate rates of change including acceleration by graphing the tabular data and determining the slope of the graph using the definition of the slope of a line between two points. [Grade: 6-8 | Topics: Graphing tabular data; determining the slope of a line; rates of change] <A href="moon/10Page66.pdf">(PDF)</a></p> <p> <b>Problem 509:Gail Spacecraft Creates a New Crater on the Moon </b> <br> Students work with images of the Grail impact sites to estimate the diameter of the crater created after the spacecraft impacted the moon. [Grade: 6-8 | Topics: scale and proportion; volume of cylinder; mass=DensityxVolume] <A href="moon/9Page35.pdf">(PDF)</a> <b>Problem 504: Grail Satellites Create a Gravity Map of the Moon</b> <br> Students explore the gravity field of the moon, and the behavior of simple pendulum clocks in places on the moon where the local gravity is slightly different. [Grade: 9-12 | Topics: square-roots; evaluating equations] <A href="moon/9Page28.pdf">(PDF)</a> <p> <p> <b>Problem 495: The Volume of a Lunar Impact Crater </b> <br> Students use calculus to determine the volume of a crater whose depth is defined by a fourth-order polynomial [Grade: 12 | Topics: Integration involving vollumes of rotation] <A href="moon/9Page19.pdf">(PDF)</a> <p> <b>Problem 478: The Grail and LRO Encounter in Lunar Orbit </b> <br> Students explore the May 31, 2012 encounter between NASA's Grail and LRO spacecraft in orbit around the moon. Will the Grail/Ebb spacecraft be able to photograph the LRO spacecraft as it passes-by? [Grade: 9-12 | Topics: formula for an ellipse; semi-major and minor axis] <A href="moon/8Page48.pdf">(PDF)</a> <p> <P> <b>Problem 445: LRO - The relative ages of lunar surfaces </b> <br> Students examine two Apollo landing areas using images from the LRO spacecraft to estimate the relative ages of the two regions using crater counting. [Grade: 6-8 | Topics: scale; histogramming] <A href="moon/8Page16.pdf">(PDF)</a> <P> <b>Problem 440: LRO explores the Apollo 12 landing area on the moon </b> <br>Students use a recent image obtained by the LRO spacecraft to estimate how far astronauts walked to get to various points in the landing area. They also estimate how many craters are in this area and the average impact time between crater events. [Grade: 6-8 | Topics: image scale; metric measurement] <A href="moon/8Page12.pdf">(PDF)</a> </p> <P> <b>Problem 435: Apollo-17 Launch from Lunar Surface </b> <br>Students use a sequence of images to determine the speed of ascent of the Apollo-17 capsule from the lunar surface. [Grade: 6-8 | Topics: scale, metric measurement, speed=distance/time] <A href=" moon/8Page5.pdf">(PDF)</a> </p> <p> <b>Problem 394: Probing the lunar core using seismology</b> Students learn about the geometry needed to determine the diameter of the lunar core using a simplified model. [Grade: 9-10 | Topics: Geometry; Properties of Inscribed Arcs] <A href=" moon/7Page56.pdf">(PDF)</a> <P> <b>Problem 378: LRO Makes a Temperature Map of the Lunar South Pole </b> <br> Students use the published LRO temperature map to study the scale of the south polar region, the sizes of its craters, and estimate the volume of water-ice that may be present in the Shackleton Crater. [Grade: 7-9 | Topics: Volume of a circular disk; scale models] <A href=" moon/7Page42.pdf">(PDF)</a> </p> <P> <b>Problem 372: LRO Determines Lunar Cratering History </b> <br> Students count large craters on an LRO coded image of the lunar surface to estimate whether the impacting asteroids that produced the largest craters were from the same population of asteroids during the two different epocs of impacts. [Grade: 6-8 | Topics: Scaled images; probability; percentages] <A href=" moon/7Page33.pdf">(PDF)</a> </p> <P><A href=" moon/6Page105.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 321: Lunar Crater Frequency Distributions</b></FONT></A><FONT face="Ariel"> Students use an image from the LRO satellite of the Apollo-11 landing area, along with a power-law model of cratering, to determine what fraction of the landin garea was safe to land upon. <FONT face="Ariel" color=black size=2>[Grade: 11-12 | Topics: Integral calculus] </FONT></font> </p> <P><A href=" moon/6Page32.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 296: Getting an Angle on the Sun and Moon</b></FONT></A><FONT face="Ariel"> Students explore angular size and scale by comparing two images of the sun and moon which have identical angular size, but vastly different scales. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics: Geometry; angle measure; scale; proportion] </FONT></font> </p> <P><A href=" moon/6Page95.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 290: The Apollo-11 Landing Area at High Resolution</b></FONT></A><FONT face="Ariel"> Students use recent images made by the LRO satellite to estimate distances, crater sizes, and how many tons of TNT were needed to create some of the craters by meteor impact. <FONT face="Ariel" color=black size=2>[Grade: 9-12 | Topics: metric measurement; scaling; A = B/C] </FONT></font> </p> <P><A href=" moon/6Page66.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 287: LCROSS Sees Water on the Moon</b></FONT></A><FONT face="Ariel"> Students use information about the plume created by the LCROSS impactor to estimate the (lower-limit) concentration of water in the lunar regolith in a shadowed crater. <FONT face="Ariel" color=black size=2>[Grade: 9-12 | Topics: Geometry; volumes; mass=density x volume] </FONT></font> </p> <P><A href=" moon/6Page11.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 275: Water on the Moon! </b></FONT></A><FONT face="Ariel"> Students estimate the amount of water on the moon using data from Deep Impact/EPOXI and NASA's Moon Minerology Mapper experiment on the Chandrayaan-1 spacecraft. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics: Geometry, Spherical volumes and surface areas, Scientific notation] </FONT></font> </p> <P><A href=" moon/MMM1.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 267: Identifying Materials by their Reflectivity </b></FONT></A><FONT face="Ariel"> The reflectivity of a material can be used to identify it. This is important when surveying the lunar surface for minerals, and also in creating 'green' living environments on Earth. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: percentage, interpreting tabular data, area ] </FONT></font> </p> <P><A href=" moon/Lunar22.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 262: LRO Explores Lunar Surface Cratering </b></FONT></A><FONT face="Ariel"> Students count the number of craters in various size ranges from a high-resolution image of the lunar surface. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: scale, proportion, ratio, area, density] </FONT></font> </p> <P><A href=" moon/Lunar21.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 261: LRO - Searching for Lunar Boulders </b></FONT></A><FONT face="Ariel"> Students use a recent image of the Apollo-11 landing area to search for large lunar boulders. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: scale, ratio, proportion] </FONT></font> </p> <P><A href=" moon/Lunar19.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 259: Mare Nubium And Las Vegas </b></FONT></A><FONT face="Ariel"> Students comare two satellite images taken at the same resolution to appreciate how large lunar features ae compared to more familiar objects. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics: scale, proportion, ratio] </FONT></font> </p> <P><A href=" moon/Lunar18.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 258: LRO's First Image of Mare Nubium </b></FONT></A><FONT face="Ariel"> Students examine the first image of this lunar region using the high-resolution camera image provided by the Lunar Reconnaissance Orbiter. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: scale, ratio, proportion] </FONT></font> </p> <P><A href=" moon/Lunar17.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 257: LRO and the Apollo-11 Landing Site </b></FONT></A><FONT face="Ariel"> Students examine a map of the Apollo-11 landing area and determine how well various features will be visible to the Lunar Reconnaissance Orbiter high-resolution camera. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: scale, proportion, ratios] </FONT></font> </p> <P><A href=" moon/Lunar16.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 256: A High-resolution Satellite Photo </b></FONT></A><FONT face="Ariel"> Students examine a satelite photo of the Tennessee Court House from the GEO-1 satellite and determine the sizes of familiar features in the image. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: scale, ratios, proportions' angle measure, triangle geometry] </FONT></font> </p> <P><A href=" moon/6Page50.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 250: The Most Important Equation in Astronomy</b></FONT></A><FONT face="Ariel"> Students learn about how an instrument's ability to see details depends on its size and its operating wavelength - the key to designing any telescope or camera. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics: geometry, angle measure, scientific notation] </FONT></font> </p> <P><A href=" moon/6Page28.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 241: Angular Size and Similar Triangles </b></FONT></A><FONT face="Ariel"> A critical concept in astronomy is angular size, measured in degrees, minutes or arc-seconds. This is a review of the basic properties of similar triangles for a fixed angle. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics: geometry, similar triangles, proportions] </FONT></font> </p> <P><A href=" moon/6Page1.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 236: LRO Sees Apollo-11 on the Moon! </b></FONT></A><FONT face="Ariel"> Students use the latest image from the Lunar Reconnaissance Orbiter of the Apollo-11 landing site to explore lunar features at 1-meter resolution, and determine the solar elevation angle. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: scale; ratios; angle measure; right triangles] </FONT></font> </p> <P><A href=" moon/5Page89.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 235: Scientific Data: The gift that keeps on giving! </b></FONT></A><FONT face="Ariel"> Students learn about gigabytes and terrabytes of data and the rates of data generation by NASA missions and how to store it. <FONT face="Ariel" color=black size=2>[Grade: 6-8 | Topics: metric units; rates; money] </FONT></font> </p> <P><A href=" moon/5Page77.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 223: Volcanos are a Blast: Working with simple equations-</b></FONT></A><FONT face="Ariel"> Students examine the famous Krakatoa explosion, asteroid impacts on the moon, and geysers on Enceladus using three equations that describe the height of the plume and initial velocity, to answer questions about the speed of the debris and terminal height. <FONT face="Ariel" color=black size=2>[Grade: 9-11 | Topics: Algebra I; significant figures.] </FONT></font> </p> <P><A href=" moon/5Page82.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 218: Craters are a Blast! -</b></FONT></A><FONT face="Ariel"> Students measure crater diameters in a photo of the moon, and determine the energy required to create them using a simple quadratic equation. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics: Scientific notation; evaluating simple power equations.] </FONT></font> </p> <P><A href=" moon/5Page68.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 212: Finding Mass in the Cosmos-</b></FONT></A><FONT face="Ariel"> Students derive a simple formula, then use it to determine the masses of objects in the universe from the orbit periods and distances of their satellites. <FONT face="Ariel" color=black size=2>[Grade: 9-12| Topics: Scientific Notation; Algebra II; parametric equations] </FONT></font> </p> <P><A href=" moon/5Page66.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 211: Where Did All the Stars Go?-</b></FONT></A><FONT face="Ariel"> Students learn why NASA photos often don't show stars because of the way that cameras take pictures of bright and faint objects. <FONT face="Ariel" color=black size=2>[Grade: 6-8| Topics: multiplication; division; decimal numbers.] </FONT></font> </p> <P><A href=" moon/5Page26.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 201: Fly Me To the Moon!-</b></FONT></A><FONT face="Ariel"> Students learn some basic principles and terminology about how spacecraft change their orbits to get to the moon. <FONT face="Ariel" color=black size=2>[Grade: 6-8| Topics: speed = distance/time; Pythagorean Theorem] </FONT></font> </p> <P><A href=" moon/5Page20.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 200: The Moon's Density - What's Inside?-</b></FONT></A><FONT face="Ariel"> Students develop a simple mathematical model of the moon's interior using two nested spheres with different densities. <FONT face="Ariel" color=black size=2>[Grade: 9-12| Topics: Volume of a sphere; mass = density x volume.] </FONT></font> </p> <P><A href=" moon/5Page28.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 181: Extracting Oxygen from Moon Rocks-</b></FONT></A><FONT face="Ariel"> Students use a chemical equation to estimate how much oxygen can be liberated from a sample of lunar soil. <FONT face="Ariel" color=black size=2>[Grade: 9-11| Topics: ratios; scientific notation; unit conversions] </FONT></font> </p> <P><A href=" moon/5Page22.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 179: Is There a Lunar Meteorite Impact Hazard? -</b></FONT></A><FONT face="Ariel"> Students work with areas, probability and impact rates to estimate whether lunar colonists are in danger of meteorite hazards. <FONT face="Ariel" color=black size=2>[Grade: 5-7| Topics: Area; unit conversions; rates] </FONT></font> </p> <P><A href=" moon/5Page19.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 178: The Mass of the Moon -</b></FONT></A><FONT face="Ariel"> Students use the period and altitude of a NASA lunar spacecraft to determine the mass of the moon. <FONT face="Ariel" color=black size=2>[Grade: 8-11| Topics: Algebra] </FONT></font> </p> <P><A href=" moon/5Page18.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 177: Lunar Cratering: Probability and Odds-</b></FONT></A><FONT face="Ariel"> Students work with crater counting to estimate the area covered by craters and how to convert this into impact probabilities. <FONT face="Ariel" color=black size=2>[Grade: 4-7| Topics: Area; probability] </FONT></font> </p> <P><A href=" moon/5Page49.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 155: Tidal Forces: Let 'er rip! -</b></FONT></A><FONT face="Ariel"> Students explore tidal forces and how satelites are destroyed by coming too close to their planet. <FONT face="Ariel" color=black size=2>[Grade: 7-10| Topics: Algebra; number substitution] </FONT></font> </p> <P><FONT face="Ariel" color=black size=4><b>Problem 134 </font><A href=" moon/4Page28.pdf"><FONT face="Ariel" size=4 color=black>The Last Total Solar Eclipse--Ever! </b></FONT></A><FONT face="Ariel"> Students explore the geometry required for a total solar eclipse, and estimate how many years into the future the last total solar eclipse will occur as the moon slowly recedes from Earth by 3 centimeters/year. <FONT face="Ariel" color=black size=2>[Grade: 7 - 10 | Topics:Simple linear equations] </FONT></font> </p> <P><FONT face="Ariel" color=black size=4><b>Problem 129 </font><A href=" moon/4Page45.pdf"><FONT face="Ariel" size=4 color=black>How Big is It? - The Moon up close. </b></FONT></A><FONT face="Ariel"> Students work with an image taken by the Lunar Orbiter III spacecraft to determine image scale, and search for the smallest things seen in a photograph. <FONT face="Ariel" color=black size=2>[Grade: 4 - 7 | Topics:image scaling; multiply, divide, work with millimeter ruler] </FONT></font> </p> <P><FONT face="Ariel" color=black size=4><b>Problem 127 </font><A href=" moon/4Page44.pdf"><FONT face="Ariel" size=4 color=black> How Big is It? - The Moon up close. </b></FONT></A><FONT face="Ariel"> Students work with an image taken by the Lunar Orbiter IV spacecraft to determine image scale, and search for the smallest things seen in a photograph. <FONT face="Ariel" color=black size=2>[Grade: 4 - 7 | Topics:image scaling; multiply, divide, work with millimeter ruler] </FONT></font> </p> <P><FONT face="Ariel" color=black size=4><b>Problem 124 </font><A href=" moon/4Page26.pdf"><FONT face="Ariel" size=4 color=black>The Moon's Atmosphere! </b></FONT></A><FONT face="Ariel"> Students learn about the moon's very thin atmosphere by calculating its total mass in kilograms using the volume of a spherical shell and the measured density. <FONT face="Ariel" color=black size=2>[Grade: 8-10 | Topics:volume of sphere, shell; density-mass-volume; unit conversions] </FONT></font> </p> <P><FONT face=" Ariel" color=black size=4 color=black><b>Problem 92 </font><A href=" moon/3Page33.pdf"><FONT face=" Ariel" size=4 color=black>A Lunar Transit of the Sun from Space - </b></FONT></A><FONT face=" Ariel"> One of the STEREO satellites observed the disk of the moon pass across the sun. Students will use simple geometry to determine how far the satellite was from the moon and Earth at the time the photograph was taken. <FONT face=" Ariel" color= black size=2>[Grade level: 9-11 | Topics: Geometry; parallax; arithmetic] </FONT></font> </p> <P><FONT face=" Ariel" color=black size=4 color=black><b>Problem 84 </font><A href=" moon/3Page19.pdf"><FONT face=" Ariel" size=4 color=black>Beyond the Blue Horizon - </b></FONT></A><FONT face=" Ariel"> How far is it to the horizon? Students use geometry, and the Pythagorean Theorem, to determine the formula for the distance to the horizon on any planet with a radius, R, from a height, h, above its surface. Additional problems added that involve calculus to determine the rate-of-change of the horizon distance as you change your height. <FONT face=" Ariel" color= black size=2>[Grade level: 9-11 | Topics: Algebra, Pythagorean Theorem; Experts: DIfferential calculus) ] </FONT></font> </p> <P><FONT face=" Ariel" color=black size=4 color=black><b>Problem 83 </font><A href=" moon/3Page18.pdf"><FONT face=" Ariel" size=4 color=black>Luner Meteorite Impact Risks - </b></FONT></A><FONT face=" Ariel"> In 2006, scientists identified 12 flashes of light on the moon that were probably meteorite impacts. They estimated that these meteorites were probably about the size of a grapefruit. How long would lunar colonists have to wait before seeing such a flash within their horizon? Students will use an area and probability calculation to discover the average waiting time. <FONT face=" Ariel" color= black size=2>[Grade level: 8-10 | Topics: arithmetic; unit conversions; surface area of a sphere) ] </FONT></font> </p> <! ****************************************************************************************** end of inserted text> </div><!--class="full-width-content-item">--> <div class="divClear"></div> </div><!--id = maincontent--> <!-- MAIN CONTENT ENDS HERE --> <!--RIGHT SIDEBAR BEGINS HERE--> <div id="rightsidebar"> <h2>Additional Resources</h2> <img src="images/LunarMathsm.jpg" height=200, width=150><br> <p> <A HREF="http://www.nasa.gov/audience/foreducators/topnav/materials/listbytype/Lunar_Math.html">Lunar Math (2008)</a>- [3.8 Mby, 17 Problems] An exploration of the moon using NASA photographs and scaling activities. Mathematical modeling of the lunar interior, and problems involving estimating its total mass and the mass of its atmosphere.</font></td></tr> <p> <img src="images/ExploringMoonSM.jpg" height=200, width=150><br> <p> <A HREF="http://www.nasa.gov/audience/foreducators/topnav/materials/listbytype/Exploring_Lunar_Surface.html">Exploring the Lunar Surface (2013)</a>- [6.0 Mby, 10 Problems] An introduction to the appearance of the lunar surface using a zoom-in from the full moon to the Apollo-11 landing area. Problems include basic scales and proportions.Also included are hands-on activities for building spacecraft, weightlessness and modeling lunar crater formation. Suitable for Grades 3-5</font></td></tr> <p> </div><!--full-width-content-item--> <!-- RIGHT SIDEBAR ENDS HERE --> </div><!--id="content-wrapper"--> </div><!--id="content"--> <div class="divClear"></div> <div id="footer"> <div> <a href="http://www.nasa.gov" class="imageLink"><img src="images/nasa_header_logo1.gif" alt="NASA Logo, National Aeronautics and Space Administration" width="140" height="98" /></a> </div><!--class="nasaLogo"--> <div id="footer-signature"> <a href="http://www.nasa.gov/goddard/" class="imageLink"><img src="images/goddardsignature2.png" height="68" /></a> </div><!--id="footer-signature--> <div class="nasafootlinks"> <ul> <li>Author: <a href="mailto:Sten.F.Odenwald@nasa.gov">Dr. Sten Odenwald</a></li> <li>NASA Official : <a href="mailto:someone@nasa.gove">Dr. David Williams</a></li> </ul> </div><!--nasafootlinks--> <div class="nasafootlinks" id="footerRight"> <ul> <li> <a target="_blank" href="http://www.nasa.gov/about/highlights/HP_Privacy.html">Privacy Policy &amp; Important Notices</a> </li> <li> <a href="">Contact Us</a> </li> </ul> </div><!--nasafootlinks--> </div><!--id=footer--> </div><!--id="page"--> </div><!--id = page-wrapper--> </body> </html>