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<!--Generated by Squarespace Site Server v5.11.5 (http://www.squarespace.com/) on Sat, 31 Jul 2010 05:01:52 GMT--><feed xmlns="http://www.w3.org/2005/Atom" xmlns:dc="http://purl.org/dc/elements/1.1/"><title>Math Mysteries</title><subtitle>Math Mysteries</subtitle><id>http://www.hyperhomeschool.com/math-mysteries/</id><link rel="alternate" type="application/xhtml+xml" href="http://www.hyperhomeschool.com/math-mysteries/"/><link rel="self" type="application/atom+xml" href="http://www.hyperhomeschool.com/math-mysteries/atom.xml"/><updated>2010-05-19T22:20:04Z</updated><generator uri="http://www.squarespace.com/" version="Squarespace Site Server v5.11.5 (http://www.squarespace.com/)">Squarespace</generator><entry><title>Tessellation Explorations Into Art, Geometry and Nature</title><category term="art history"/><category term="geometry"/><category term="geometry. math education"/><category term="homeschooling"/><category term="tessellations"/><id>http://www.hyperhomeschool.com/math-mysteries/2010/5/17/tessellation-explorations-into-art-geometry-and-nature.html</id><link rel="alternate" type="text/html" href="http://www.hyperhomeschool.com/math-mysteries/2010/5/17/tessellation-explorations-into-art-geometry-and-nature.html"/><author><name>Ashley Allain</name></author><published>2010-05-17T17:16:14Z</published><updated>2010-05-17T17:16:14Z</updated><content type="html" xml:lang="en-US"><![CDATA[<p><span class="full-image-float-right ssNonEditable"><span><img src="http://www.tessellations.org/tesspics/lions.jpg?__SQUARESPACE_CACHEVERSION=1274307562344" alt="" /></span></span>Tessellations are a great way to integrate both mathematics and art.&nbsp; Unlock the mysteries of these geometric marvels as you explore famous artists, geometry, and nature.</p>
<p><strong>Assignment:</strong></p>
<p>Use the links below to complete the following challenges. Create a final report using Google Docs and email to me. Have fun and be creative!</p>
<p>&nbsp;</p>
<ul>
<li>Research and define tessellations in your own words.</li>
<li>Tessellations are all around us! See if you can find three examples found in nature. &nbsp;Make it fun by including pictures.</li>
<li>Explore the work of M.C. Escher. &nbsp;Include your favorite works of art.</li>
<li>There are lots of online tools to help you create your own works of art. &nbsp;Create and share!</li>
</ul>
<p>&nbsp;</p>
<p><strong>Fun Links to Explore:</strong></p>
<p><a href="http://www.shodor.org/interactivate/activities/Tessellate/">Tessellate!</a></p>
<p><a href="http://www.mathcats.com/explore/tessellationtown.html">Tessellation Town</a></p>
<p><a href="http://www.tessellations.org/index.htm">Tessellation.org</a></p>
<p><a href="http://www.tessellations.com/">Tessellation Lessons and Supplies</a></p>
<p><a href="http://library.thinkquest.org/16661/">Totally Tessellated!&nbsp;</a></p>
<p><a href="http://www.mcescher.com/">M.C. Escher</a></p>
<p>&nbsp;</p>]]></content></entry><entry><title>Lego Math: Area and Perimeter</title><category term="Investigations"/><category term="area"/><category term="geometry"/><category term="multiplication"/><category term="multiplication"/><category term="perimeter"/><id>http://www.hyperhomeschool.com/math-mysteries/2009/10/13/lego-math-area-and-perimeter.html</id><link rel="alternate" type="text/html" href="http://www.hyperhomeschool.com/math-mysteries/2009/10/13/lego-math-area-and-perimeter.html"/><author><name>Ashley Allain</name></author><published>2009-10-13T22:40:13Z</published><updated>2009-10-13T22:40:13Z</updated><content type="html" xml:lang="en-US"><![CDATA[<p>Who doesn't love playing with Legos? &nbsp;I have been trying to think of ways to incorporate our children's love of Legos with mathematics. &nbsp;As an application of multiplication, I developed this lesson on area and perimeter. &nbsp;It is geared for elementary students and takes an investigative approach to developing the concepts.</p>
<p><strong>Grade Level: </strong>2-4 grade</p>
<p><strong>Main Goal:</strong> Use prior knowledge about multiplication to develop the concepts of area and perimeter.</p>
<p><strong>Introduction:</strong></p>
<p>Congratulations! &nbsp;You have been selected to join an elite team of engineers to build a fortress for our great city. There is rising conflict in the Republic and we need to protect this outpost from invasion. &nbsp;We are fortunate in that we have recently discovered a new material that appears to be stronger than steel. Hopefully, it will hold against the Empire's latest weapons. &nbsp;You will use this as your building material. &nbsp;Good luck!</p>
<p><strong>Math Background:</strong></p>
<ul>
<li>addition<strong><span class="full-image-float-right ssNonEditable"><span><img src="http://aycu05.webshots.com/image/7484/2004679442913881083_rs.jpg?__SQUARESPACE_CACHEVERSION=1255550694057" alt="" width="130" height="150" /></span></span></strong></li>
<li>multiplcation</li>
</ul>
<p><strong>Mission:</strong>&nbsp;</p>
<p><a href="http://docs.google.com/View?id=dgshh3xk_28dmvr5cg2">(printable version)</a></p>
<ol>
<li>Using Legos, create a model of your rectangular fortress.</li>
<li>Determine in units of Legos, the measurements of your fortress.</li>
<li>How many Legos are needed to "fill" your figure?</li>
<li>If you were to patrol the outside of your fortress, how many Lego bricks would you pass?</li>
<li>Create a mathematical model for your responses to questions 3 and 4.</li>
<li>Let's test your model for another figure and see if it works. &nbsp;Repeat steps 1-5 and record your responses.</li>
</ol>
<p><strong>Conclusions:</strong></p>
<p>Using the evidence from your investigation, generalize your findings to write a formula for area and perimeter.</p>
<p>Area<strong>:</strong></p>
<p>Perimeter:</p>
<p>What do you notice about the difference in area and perimeter between the two fortresses you designed?&nbsp; You should see that the more spread out the fortress, the larger the area and perimeter.</p>
<p><strong>Additional Online Games and Resources:</strong></p>
<ul>
<li><span style="color: #551a8b; text-decoration: underline;"><a href="http://www.shodor.org/interactivate/activities/PerimeterExplorer/">Perimeter Explorer</a></span></li>
<li><span style="color: #551a8b; text-decoration: underline;"><a href="http://www.funbrain.com/poly/index.html">Shape Surveyor</a></span></li>
<li><span style="color: #551a8b; text-decoration: underline;"><a href="http://www.iknowthat.com/com/L3?Area=BluePrints">Bucky's Blueprints</a></span></li>
<li><span style="color: #551a8b; text-decoration: underline;"><a href="http://its.guilford.k12.nc.us/webquests/areaperim/areaperim.htm">House Design Webquest</a><br /></span></li>
</ul>
<p>&nbsp;</p>
<p><span style="color: #551a8b; text-decoration: underline;"><br /></span></p>]]></content></entry><entry><title>Calculating Kinetic Energy</title><category term="Investigations"/><category term="kinetic energy"/><category term="math applications"/><id>http://www.hyperhomeschool.com/math-mysteries/2009/9/21/calculating-kinetic-energy.html</id><link rel="alternate" type="text/html" href="http://www.hyperhomeschool.com/math-mysteries/2009/9/21/calculating-kinetic-energy.html"/><author><name>Ashley Allain</name></author><published>2009-09-21T22:27:48Z</published><updated>2009-09-21T22:27:48Z</updated><content type="html" xml:lang="en-US"><![CDATA[<p><strong>Main Goal:</strong> Apply mathematical concepts to explore the relationship<strong> </strong>between mass, speed, and kinetic energy.&nbsp;</p>
<p><strong>Introduction:</strong></p>
<p>After viewing the BrainPOP movie on kinetic energy as well as completing a lab during our science class, we have discovered several things.</p>
<ul>
<li>Kinetic Energy is associated with objects in motion.</li>
<li>Mass and speed can affect the amount of kinetic energy released.</li>
<li>Energy can be transferred and stored, but never created or destroyed.</li>
<li>Kinetic energy can be transferred fromone object to another when the objects collide.</li>
</ul>
<p><strong>Math Background:</strong></p>
<ul>
<li>Order of Operations'</li>
<li>Exponents</li>
<li>Multiplication and Division</li>
<li>Fractions</li>
</ul>
<p><strong>Mission</strong></p>
<p>Which gives off more kinetic energy:&nbsp; a cheetah or an elephant?&nbsp;</p>
<p><span class="full-image-float-right ssNonEditable"><span><img src="http://www.uwyo.edu/dbmcd/molmark/lect11/Cheetah.jpg?__SQUARESPACE_CACHEVERSION=1253575932860" alt="" width="172" height="129" /></span></span> <span class="full-image-float-right ssNonEditable"><span><img src="http://naturescrusaders.files.wordpress.com/2009/01/african-elephant2.jpg?__SQUARESPACE_CACHEVERSION=1253576013622" alt="" width="186" height="129" /></span></span></p>
<ul>
<li>Take a guess!&nbsp; Which animal do you think?</li>
<li>Research the average mass of each animal and average speed. Record on your <a href="http://docs.google.com/View?id=dgshh3xk_19drmbs2cx">investigation sheet</a>.<br /> 
<ul>
<li><a href="http://kids.nationalgeographic.com/Animals/CreatureFeature/Cheetah">Cheetahs</a></li>
<li><a href="http://kids.nationalgeographic.com/Animals/CreatureFeature/African-elephant">Elephants</a> and <a href="http://animal.discovery.com/news/briefs/20030407/elephant.html">More Elephants</a></li>
</ul>
</li>
<li>Using the fomula to calculate kinetic energy, KE= 1/2(mass * velocity&lt;sup&gt;2&lt;/sup&gt;), determine the kinetic energy released for each animal.&nbsp; Record your findings on your investigation sheet.</li>
<li>Now, assume that 2 cheetahs of the same mass are moving at different speeds.&nbsp; Which cheetah releases more kinetic energy?</li>
</ul>
<p><strong>Conclusions</strong></p>
<p>Was your initial guess correct?&nbsp; What have you discovered through this investigation?</p>
<p>The amount of kinetic energy an object has depends on its <a href="http://www.physics.ucla.edu/k-6connection/Mass,w,d.htm">mass</a> and <a href="http://mechanical-physics.suite101.com/article.cfm/understanding_speed_and_velocity">speed</a>.&nbsp; A fast moving object with a lot of mass wil have a lot of kinetic energy.&nbsp; If two objects have the same mass, the one moving faster will have more kinetic energy.</p>]]></content></entry><entry><title>Singapore Math 3A- Ch. 2</title><category term="Quizzes- Luc"/><category term="math quizzes"/><id>http://www.hyperhomeschool.com/math-mysteries/2009/9/21/singapore-math-3a-ch-2.html</id><link rel="alternate" type="text/html" href="http://www.hyperhomeschool.com/math-mysteries/2009/9/21/singapore-math-3a-ch-2.html"/><author><name>Ashley Allain</name></author><published>2009-09-21T22:20:27Z</published><updated>2009-09-21T22:20:27Z</updated><content type="html" xml:lang="en-US"><![CDATA[<p>This quiz covrs material from Singapore Math 3A Chapter 2 which includes addition and subtraction applications.</p>
<p><a href="http://docs.google.com/View?id=dgshh3xk_18cj36h9gb">Quiz 1 in Google Docs</a></p>]]></content></entry><entry><title>Singapore Math 5A- Ch. 2</title><category term="Quizzes- Abby"/><category term="math quizzes"/><id>http://www.hyperhomeschool.com/math-mysteries/2009/9/21/singapore-math-5a-ch-2.html</id><link rel="alternate" type="text/html" href="http://www.hyperhomeschool.com/math-mysteries/2009/9/21/singapore-math-5a-ch-2.html"/><author><name>Ashley Allain</name></author><published>2009-09-21T21:53:33Z</published><updated>2009-09-21T21:53:33Z</updated><content type="html" xml:lang="en-US"><![CDATA[<p>This quiz covers material from Singapore Math 5A Chapter 2 which includes multiplication and division by a 2-digit whole number.</p>
<p><a href="http://docs.google.com/View?id=dgshh3xk_17hq4tj4dq">Quiz 1 in Google Docs</a></p>]]></content></entry></feed>