<!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="OneColumn"> <h2><center>Space Math @ NASA - Exploring Climate Change</center></h2> <div class="full-width-content-item"> <! ****************************************************************************************** insert text below> <p> <center><img src="images/PolarBear.jpg"> <p> <center> <table> <tr><td> <p> <h2>Common Core State Standards</h2> <p> <b>Math</b> <br><b>6.EE.2.c </b> Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations); <br><b>6.EE.6 </b> Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set; <br><b>6.EE.7 </b> Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. <br><b>6.G.A.1 </b> Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. <br><b>6.G.A.3 </b> Draw polygons in the coordinate plane given coordinates for the vertices. Apply these techniques in the context of solving real-world and mathematical problems. <br><b>7.G.B.6 </b> Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects. <br><b>8.EE.5. </b> Graph proportional relationships, interpreting the unit rate as the slope of the graph. <br><b>8.SP.A.1 </b> Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities; <br><b>8.SP.A.2 </b> Know that straight lines are widely used to model relationships between two quantitative variables; <br><b>8.SP.A.3 </b> Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. <br><b>8.F.B.5 </b> Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). <p> <b>ELA/Literacy</b> <p> <br><b>RST.6-8.2. </b> Determine the central ideas or conclusions of a text; provide an accurate summary of the text distinct from prior knowledge or opinions. <br><b>RST.6-8.8. </b> Distinguish among facts, reasoned judgment based on research findings, and speculation in a text. <br><b>RST.6-8.9. </b> Compare and contrast the information gained from experiments, simulations, video, or multimedia sources with that gained from reading a text on the same topic. </td><td> <h2>Next Generation Science Framework</h2> <p> PS1: Matter and Its Interactions, <br>PS1.A: Structure and Properties of Matter; <br>PS1.B: Chemical Reactions; Patterns <br>PS3: Energy, <br>LS2: Ecosystems: Interactions, Energy, and Dynamics, <br>ESS2.A: Earth Materials and Systems, <br>ESS3.C: Human Impacts on Earth Systems, <br>ESS3.D: Global Climate Change, <br>ETS2: Links Among Engineering, Technology, Science, and Society <br>ESS2.D Weather and climate; </td></tr> <tr><td> <p> <h2>5-E Integrated STEM Modules</h2> <p> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/ArcticIce.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Exploring Climate Change</span> Students explore changes in sea ice observed by NASA satellites; properties of functions describing ocean level rise, temperature and carbon dioxide increases and arctic ice declines. <a href="http://spacemath.gsfc.nasa.gov/Modules/6Module10.html">[Enter Here] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/WarmingGraph.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Exploring Climate Change from 1900-2010</span> Students explore temperature change of Earth during the 20th century and through 2010. Calculating slopes and rates of change to predict climate change for the year 2050. <a href="http://spacemath.gsfc.nasa.gov/Modules/7Module5.html">[Enter Here ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/CO2Smoke.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Human Impacts on Climate</span> Students explore how human activity impacts Earth's climate and simple mathematical models that predict changes in the Earth system. <a href="http://spacemath.gsfc.nasa.gov/Modules/8Module8.html">[Enter Here ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/SunriseISS.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Stratospheric Aerosols and Ozone</span> Students explore how the SAGE III mission will use sunrises and sunsets to investigate the impact of aerosols and ozone on climate change. <a href="http://spacemath.gsfc.nasa.gov/SAGEIII/SAGEIII.html">[Enter Here ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> </td><td> <h2>5-E Integrated STEM Modules</h2> <p> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/Snowflake.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Exploring Snowflake Geometry</span> Students learn about the properties of snowflakes through reading a NASA press release. By viewing a NASA eClips video segment, students discover how snowflakes form and how their shapes relate to their history. Students then explore the geometric shapes of snowflakes by viewing them as polygons and calculating their areas using the area properties of right triangles. <a href="http://spacemath.gsfc.nasa.gov/Modules/6Module11.html">[Enter Here ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/SnowRoofs.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Measuring Snow and Water Volumes</span> Students learn about tools that measure snow and ice through reading a NASA Press Release and watching a NASA eClips video segment. Then they quantify snow to water ratios and the density and volume of snow. <a href="http://spacemath.gsfc.nasa.gov/Modules/7Module11.html">[Enter Here ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/CO2Phase.GIF" height=100 width=20> <span class="thumb-copy"><span class="event-date">Phase Changes Between Snow and Water</span> Students learn about carbon dioxide snowfalls on Mars by reading a NASA Press Release. They also learn about snow phase changes on Earth and the unique properties of water by watching a NASA eClips video segment. Students use formulae and graphs to quantify phase changes and explore relationships between temperature and energy. <a href="http://spacemath.gsfc.nasa.gov/Modules/8Module11.html">[Enter Here ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> </td></tr> <tr><td> <p> <h2>Math Problem Resource Guides</h2> <p> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/SMEarthsm.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">Earth Math (2009)</span> <b>46 Problems</b> Students explore the simple mathematics behind global climate change through analyzing graphical data, data from NASA satellites, and by performing simple calculations of carbon usage using home electric bills and national and international energy consumption. <a href="http://www.nasa.gov/audience/foreducators/topnav/materials/listbytype/Earth_Math.html">[PDF: 4.2 Mby ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> </td><td> <h2>Math Problem Resource Guides</h2> <p> <p> <p> <div class="full-width-content-item"><li class="thumb-list"> <img src="images/SAGESM.jpg" height=100 width=20> <span class="thumb-copy"><span class="event-date">SAGE III Explores Aerosol Math (2014)</span> <b>18 Problems; 2 Interactive Labs</b> This book explores the properties of atmospheric aerosols being studied by the NASA SAGE III instrument onboard the International Space Station. Also includes two interactive Excel Spreadsheets to study opacity [<a href="SAGE/EXCELETOpacity.xlsx">Download file</a>], light transmission and Earth limb sunset and sunrise observations of the atmosphere [<a href="SAGE/EXCELETEarthLimb.xlsx">Download file</a>]. Download Book: <a href="SAGE/SAGEbook.pdf">[PDF: 20.4 Mby ] </a></span> </li><!-- class="thumb-list"--></div><!--class="full-width-content-item"--><div class="divClear"></div> </p> </p> </td></tr> </table> </center> <! ****************************************************************************************** end of inserted text> </div><!--class="full-width-content-item">--> <div class="divClear"></div> </div><!--id = maincontent--> <!-- MAIN CONTENT 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>