<!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"> <div class="full-width-content-item"> <h2>Year 11: Problems 683 to Present</h2> <P> <b>Problem 692: Exploring Interplanetary Dust with Solar Probe-Plus</b> <br> Students examine the impact frequency of dust grains in the vicinity of the Solar Probe orbit around the sun, and estimate how many impact will occur during the mission. [Grade: 8-10 | Topics: rates; areas; proportions; geometry ] <A href=" weekly/SolarProbe10.pdf">(PDF)</a> </p> <P> <b>Problem 691: Investigating the Elliptical Orbit of Solar Probe-Plus</b> <br> Students work with the basic algebraic properties of ellipses to determine the orbit of the spacecraft and its period. [Grade: 10 | Topics: Geometry; conic sections; properties of ellipses] <A href=" weekly/SolarProbe9.pdf">(PDF)</a> </p> <P> <b>Problem 690: Exploring Proton Storms with Solar Probe-Plus</b> <br> Students use solar storm data near Earth to estimate how often the spacecraft will encounter solar storms and estimate how much power will be lost from the solar panels due to radiation damage. [Grade: 8-10 | Topics: proportions; inverse-square law; probability] <A href=" weekly/SolarProbe8.pdf">(PDF)</a> </p> <P> <b>Problem 689: Exploring Solar Heating with Solar Probe-Plus</b> <br> Students calculate the temperature of the heat shield and how much heat energy the shield has to dissipate to keep the spacecraft from over-heating. [Grade: 8-10 | Topics: algebra; scientific notation] <A href=" weekly/SolarProbe7.pdf">(PDF)</a> </p> <P> <b>Problem 688: Exploring Solar Energy with Solar Probe-Plus</b> <br> Students examine how solar panels collect energy and estimate how much electrical power the spacecraft will require for operation. [Grade: 8-10 | Topics: rectangular area; rates; inverse-square law; unit conversions ] <A href=" weekly/SolarProbe6.pdf">(PDF)</a> </p> <P> <b>Problem 687: Exploring Equations with Solar Probe-Plus</b> <br> Students work with the masses of various spacecraft systems expressed as fractions, and create and solve algebraic equations to determine the masses of these systems. [Grade: 8-10 | Topics: algebraic fractions; solving lineqar equations ] <A href=" weekly/SolarProbe5.pdf">(PDF)</a> </p> <P> <b>Problem 686: Exploring Orbital Speeds with Solar Probe-Plus!</b> <br> Students work with an equation for spacecraft speed along its orbit to determine the speed of the Solar Probe Plus spacecraft as it orbits the sun. [Grade: 8-10 | Topics: Algebra; evaluating functions; scientific notation] <A href=" weekly/SolarProbe4.pdf">(PDF)</a> </p> <P> <b>Problem 685: Exploring Fractions with Solar Probe-Plus!</b> <br> Students use fractions to calculate the mass of various spacecraft systems [Grade: 3-5 | Topics: adding, subtracting, multiplying simple fractions ] <A href=" weekly/SolarProbe3.pdf">(PDF)</a> </p> <P> <b>Problem 684: Exploring the Pressure of Sunlight with Solar Probe-Plus</b> <br> Students calculate the light pressure on the heat shield, and use F=ma to calculate acceleration. [Grade: 8-10 | Topics: Unit conversions, area of rectangle; working with F=ma] <A href=" weekly/SolarProbe2.pdf">(PDF)</a> </p> <P> <b>Problem 683: Exploring the Solar Probe-Plus Heat Shield</b> <br> Students examine the mass and density of the heat shield by calculating its volume and uding the density formula. [Grade: 6-8 | Topics: volume of a rectangular solid; mass=density x volume ] <A href=" weekly/SolarProbe1.pdf">(PDF)</a> </p> </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"> <li class="thumb-list"> <h2>Additional Problems</h2> <p>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 to 478</a></li> <li><a href="Year9.html">IX - Problems 479 to 536</a></li> <li><a href="Year10.html">X - Problems 537 to 682</a></li> <li><a href="Year11.html">XI - Problems 683 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>