<!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" /> <title>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="/600/sci/">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"> <img src="images/Book9SM.jpg"height=200 width=150><b>Problems 479 to 536......12.3 Mby PDF</b>...<a href="SMBooks/SMBook9.pdf">[Download Here]</a> <p> <p> <h2>Index of Problem Titles by Approximate Grade Band</h2> <div class="full-width-content-item"> <FONT face="Ariel" color=black size=4> <p><b>Grades 3 to 5</b> <p> Fun with Gears and Fractions <p> RBSP - A New Belt for the Van Allen Belts! <p> Hinode Observes a Solar Eclipse From Space <p> Curiosity -Telling Time on Mars <p> SDO-Solar Flares and the Stormy Sun Working with Areas of Rectangles and Circles <p><b>Grades 6 to 8</b> <p> Landsat - Exploring Water Use in Kansas <p> RBSP Spacecraft Hears Dawn Chorus in Space - I <p> RBSP Spacecraft Hears Dawn Chorus in Space - II <p> RBSP Spacecraft Hears Dawn Chorus in Space - III <p> SDO Sees Coronal Rain - Estimating Plasma Speed <p> A Mathematical Model of Magnetic Field Lines - I <p> A Mathematical Model of Magnetic Field Lines - II <p> InSight The Seismographic Station - Wave Arrival Times <p> Planck Mission Sees Ancient Universe Clearly <p> Curiosity Discovers an Ancient Mars River - Elementary <p> Hubble Extreme Deep Field - Counting Galaxies <p> Grail Spacecraft Create New Craters on the Moon <p> Space-X Exploring the Launch of the Falcon 9 <p> Fermi Observatory and the Origin of Cosmic Rays <p> The Frequency of Large Meteorite Impacts <p> Kepler - Alpha Centauri Bb - A Nearby Extrasolar Planet <p> Curiosity Rover on the Move! <p> Curiosity - Exploring Gale Crater <p> Hubble - The Expanding Gas Shell of U Camelopardalis <p> Exploring Density, Mass and Volume Across the Universe <p> Hubble - A Distant Supernova Remnant Discovered <p> Landsat - NASA Satellite Takes Pictures of the Salton Sea <p>Scheduling Events in Time for Launch <p> Exploring a Possible InSight Landing Area on Mars <p> Comparing the InSight Landing Area to a City Block! <p> Exploring Temperature Change in Earth's Outer Crust <p> Exploring the InSight Lander Telemetry Data Flow <p> Seeing the Martian Surface with IDC <p> Telling Time on Mars - Earth Days and Mars Sols <p> The InSight Seismographic Station Solar Power System <p> The Work Area In Front of the Lander <p> Solar Electricity for a New Spacecraft <p> Investigating Juno's Elliptical Transfer Orbit <p> The Launch of the Juno Spacecraft <p> The Launch of the Juno Spacecraft - Ascent to Orbit <p> The MMS Satellites and Solar Power <p> Some Facts About the MMS Atlas Rocket <p> Launching the MMS Satellite Constellation into Orbit <p> The MMS Launchpad at Cape Canaveral <p> Stacking Four MMS Satellites Inside the Atlas Nosecone <p> Volume and Surface Area of an Octagonal MMS Satellite <p> The MMS Payload Up Close <p> The Acceleration Curve for the MMS Launch <p> The Orbit of the MMS Satellite Constellation <p> The RBSP Satellite - Working with Octagons <p> Radiation Belts Storm Probes - Telemetry Math <p> Exploring Gas Density in Space <p> Electricity from Sunlight <p> Exploring the Outer Atmosphere - Gas Density <p> Graphing a Snowflake Using Symmetry <p> The Surface Area of a Snowflake <p> Snowflake Growth Rates and Surface Area <p> Snow to Water Ratios <p> Snow Density and Volume <p> Snow Density, mass and Roof Failure <p> Exploring Energy and Temperature <p> Exploring Temperature and States of Matter <p> What is a Snowball's Chance on Mars? <p><b>Grades 9 to 12</b> <p> Chandra - Giant Gas Cloud in System NGC 6240 <p> Fermi - The Remarkable Gamma Ray Burst GRB 130427A <p> Hubble - Exploring the Most Distant Galaxies <p> Grail Satellites Create a Gravity Map of the Moon <p> Curiosity Uses X-Ray Diffraction to Identify Minerals <p> Hubble - An Enormous Stellar Spiral Pattern in Space <p> Curiosity Discovers an Ancient Martian River - Advanced <p> Hubble - Pluto's Fifth Moon <p> The Radioactive Dating of a Star in the Milky Way <p> Marsquake Energy and the Moment Magnitude Scale <p> Exploring Logarithms and the Richter Magnitude Scale <p> The Distance to the Martian Horizon <p> Exploring the Interior of Mars with Spheres and Shells <p> Exploring the Mass of Mars <p> Exploring Impacts and Quakes on Mars <p> Comparing the Heat Output of Mars and Earth <p> Exploring Heat Flow and Insulation <p> Radio Communications with Earth -The Earth-Sun Angle <p> Estimating the Mass of a Martian Dust Devil! <p> The InSight Seismographic Station - Wave arrival times <p> Solar Energy and the Distance of Juno from the Sun <p> The Speed of the Juno Spacecraft <p> Investigating the Elliptical orbit of Juno Around Jupiter <p> Investigating the Radiation Belts Around Jupiter <p> The Orbit of the MMS Satellite Constellation - Advanced <p> Measuring the Mass of Earth with the RBSP Satellites <p> Exploring the Donut-Shaped van Allen Belts <p> Estimating the Total Mass of the van Allen Belts <p> Measuring Earth's Magnetic Field in Space <p> Exploring the Density of Gas in the Atmosphere <p> How Clouds Form - Working with Rates of Change <p> Cloud Cover and Solar Radiation <p> Cloud Cover, Albedo, Transmission and Opacity <p> <p> <b>Calculus:</b> <p> The Close Encounter to te Sun of Barnards Star <p> The Volume of a Lunar Impact Crater <p> How to Grow a Planet or a Raindrop! <p> A Mathematical Model of a Magnetic Field Line - III </font> </div><!--class="full-width-content-item">--> <div class="divClear"></div> </div><!--id = maincontent--> <!-- MAIN CONTENT ENDS HERE --> <!--RIGHT SIDEBAR BEGINS HERE--> <div id="rightsidebar"> <div class="full-width-content-item"> </div><!--class="full-width-content-item"--> <div class="divClear"></div> <h2>Additional Compilations</h2> <p><b>Problems from previous years can be found at the links below.</p> <ul class="sub"> <li><a href="Year1.html">I - Problems 1 to 38</a></li> <li><a href="Year2.html">II - Problems 39 to 64</a></li> <li><a href="Year3.html">III - Problems 65 to 101</a></li> <li><a href="Year4.html">IV - Problems 102 to 148</a></li> <li><a href="Year5.html">V - Problems 149 to 233</a></li> <li><a href="Year6.html">VI - Problems 234 to 342</a></li> <li><a href="Year7.html">VII - Problems 343 to 428</a></li> <li><a href="Year8.html">VIII - Problems 429 - 478</a></li> <li><a href="Year9.html">IX - Problems 479 to 536</a></li> <li><a href="Year10.html">X - Problems 537 to Present</a></li> </ul> </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:Michelle.Thaller@nasa.gov">Dr. Michelle Thaller</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>