<!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="tab2" class="tab-on active"><a href="media.html" >STEM Modules</a></li> <li id="tab4" class="tab-on active"><a href="books.html" >Problem Books</a></li> <li id="tab1" 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="Sciences and Exploration Directorate" width="952" ></a> </div><!--id=bannerImg--> </div><!--id=banner--> <div class="divClear"></div> <div id="topMenu"> <ul id="menu"> <li id="tab7" class="tab-on active"><a href="#" class="topMenu-frst-itm">Math by Grade Level</a> <!-- OPTIONAL SUB NAVIGATION--> <ul class="sub"> <li><a href="grade35.html">Grades 3-5</a></li> <li><a href="grade67.html">Grades 6-7</a></li> <li><a href="algebra1.html">Algebra I</a></li> <li><a href="algebra2.html">Algebra II</a></li> <li><a href="geometry.html">Geometry</a></li> <li><a href="calculus.html">Calculus</a></li> </ul> </li> <li id="tab8" class="tab-on active"><a href="#">Math in Science</a> <!-- OPTIONAL SUB NAVIGATION--> <ul class="sub"> <li><a href="earth.html">Earth</a></li> <li><a href="moon.html">Moon</a></li> <li><a href="sun.html">Sun</a></li> <li><a href="planets.html">Planets</a></li> <li><a href="stars.html">Stars</a></li> <li><a href="universe.html">Universe</a></li> <li><a href="spacetravel.html">Space Travel</a></li> <li><a href="astrobiology.html">Astrobiology</a></li> <li><a href="blackholes.html">Black Holes</a></li> </ul> </li> <li id="tab2" class="tab-on active"><a href="news.html" >Math in Press Releases</a></li> <li id="tab1" class="tab-on active"><a href="mission.html">Math by NASA Mission</a></li> <li id="tab5" class="tab-on active"><a href="#">Math by NGSS</a> <!-- OPTIONAL SUB NAVIGATION--> <ul class="sub"> <li><a href="Physics.html">Physical Sciences</a></li> <li><a href="Life.html">Life Sciences</a></li> <li><a href="EarthSci.html">Earth and Space Sciences</a></li> <li><a href="engineering.html">Engineering, Technology, Applications of Science</a></li> </ul> </li> <li id="tab5" class="tab-on active"><a href="#">Math by CCSS-M</a> <!-- OPTIONAL SUB NAVIGATION--> <ul class="sub"> <li><a href="Counting.html">Counting & Cardinality</a></li> <li><a href="Operations.html">Operations & Algebraic Thinking</a></li> <li><a href="Base10.html">Number and Operations in Base-10</a></li> <li><a href="Fractions.html">Number and Operations - Fractions</a></li> <li><a href="Measurement.html">Measurement & Data</a></li> <li><a href="Geometry.html">Geometry</a></li> <li><a href="Ratios.html">Ratios & Proportional Relationships</a></li> <li><a href="Numbers.html">The Number System</a></li> <li><a href="Equations.html">Expressions & Equations</a></li> <li><a href="Statistics.html">Statistics & Probability</a></li> <li><a href="Functions.html">Functions</a></li> </ul> </li> <!-- OPTIONAL SUB NAVIGATION--> </li> </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>Number and Operations - Fractions</h2> <div class="full-width-content-item"> <! ****************************************************************************************** insert text below> <p> <! //////////////////////////////////Fractions ///////////////////////////////////////////////> <p> <b>Problem 546: The Relative Sizes of Planets and other Objects</b> <br>Students use proportional information to determine the relative scales of planets and large moons across the solar system. [Grade: 3-5 | Topics:scale; proportion] <A href="Grade35/10Page9.pdf">(PDF)</a> <p> <b>Problem 493: Fun with Gears and Fractions </b> <br> Students learn about how simple fractions are used to describe gears and gear trains that reduce or increase speed. [Grade: 4-7 | Topics: multiplying simple fractions] <A href="Grade35/9Page14.pdf">(PDF)</a></p> <p><b>Problem 465: Comparing Planets Orbiting other Stars </b> <br> Students use simple fraction arithmetic to determine the relative sizes of several new planets recently discovered by the Kepler mission, and compare these sizes to that of Jupiter and Earth. [Grade: 3-5 | Topics: scale models; proportions; fractions] <A href="Grade35/8Page41.pdf">(PDF)</a> </p> <p><b>Problem 464: Big Moons and Small Planets </b> <br> Students work with a scaled drawing of 26 large moons in the solar system, and together with an exercise in using simple fractions, explore the relative sizes of the moons compared to Earth. [Grade: 3-5 | Topics: scale models; proportions; fractions] <A href="Grade35/8Page40.pdf">(PDF)</a> </p> <P><A href="Grade35/6Page35.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 297: Atoms - How Sweet They Are!</b></FONT></A><FONT face="Ariel"> A simple counting activity is based on atoms in a sugar molecule. Students calculate ratios and percentages of various atomic types in the molecule. <FONT face="Ariel" color=black size=2>[Grade: 4-8 | Topics: Counting; Ratios; percentage] </FONT></font> </p> <P><A href=" Grade35/6Page29.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 242: Counting Atoms in Molecules </b></FONT></A><FONT face="Ariel"> Students count the number of atoms in a simple molecule and work out some basic fractions, percentages and masses. they also complete the chemical formula for the compound. <FONT face="Ariel" color=black size=2>[Grade: 3-6 | Topics: integers; counting similar things; fractions; percentages ] </FONT></font> </p> <P><A href=" Grade35/5Page70.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 230: Galaxy Distances and Mixed Fractions-</b></FONT></A><FONT face="Ariel"> Students use the relative distances to nearby galaxies expressed in mixed numbers to determine distances between selected galaxies. <FONT face="Ariel" color=black size=2>[Grade: 3-5 | Topics: Basic fraction math.] </FONT></font> </p> <P><A href=" Grade35/5Page71.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 229: Atomic Numbers and Multiplying Fractions-</b></FONT></A><FONT face="Ariel"> Students use a piece of the Periodic Table of the Elements to figure out the identities of atoms based on numerical clues expressed as mixed numbers. <FONT face="Ariel" color=black size=2>[Grade: 3-5 | Topics: Basic fraction math; mixed numbers.] </FONT></font> </p> <P><A href=" Grade35/5Page83.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 217: Fractions and Chemistry-</b></FONT></A><FONT face="Ariel"> Students study simple chemical equations by using simple proportions and mixed numbers. <FONT face="Ariel" color=black size=2>[Grade: 3-6 | Topics: Basic fraction math; ratios.] </FONT></font> </p> <P><A href=" Grade35/5Page84.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 216: Atomic Fractions-</b></FONT></A><FONT face="Ariel"> Students study the energy ladders of an atom and work out, using differences between mixed numbers, the energy gained or lost by an electron as it moves up and down the ladder. <FONT face="Ariel" color=black size=2>[Grade: 3-6 | Topics: Basic fraction math] </FONT></font> </p> <P><A href=" Grade35/5Page85.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 215: More Atomic Fractions-</b></FONT></A><FONT face="Ariel"> Students study the energy ladders of an atom and work out, using differences between mixed numbers, the energy gained or lost by an electron as it moves up and down the ladder. <FONT face="Ariel" color=black size=2>[Grade: 3-6 | Topics: Basic fraction math.] </FONT></font> </p> <P><A href=" Grade35/5Page86.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 214: Atomic Fractions III-</b></FONT></A><FONT face="Ariel"> Students study the energy ladders of an atom and work out, using differences between mixed numbers, the energy gained or lost by an electron as it moves up and down the ladder. <FONT face="Ariel" color=black size=2>[Grade: 3-6 | Topics: Basic fraction math.] </FONT></font> </p> <P><A href=" Grade35/5Page24.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 180: Planets, Fractions and Scales-</b></FONT></A><FONT face="Ariel"> Students work with relative planet comparisons to determine the actual sizes of the planets given the diameter of Earth. <FONT face="Ariel" color=black size=2>[Grade: 4-6| Topics: scale models; decimals; fractions] </FONT></font> </p> <P><A href=" Grade35/5Page6.pdf"><FONT face="Ariel" size=4 color=black><b>Problem 165: Fractions in Space -</b></FONT></A><FONT face="Ariel"> Students explore the many ways that simple fractions come up in the study of planetary motion. <FONT face="Ariel" color=black size=2>[Grade: 3-5 | Topics: working with fractions; time calculations] </FONT></font> </p> </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>