tag:blogger.com,1999:blog-33300182776000702752024-02-20T17:59:42.869-08:00Maths and Beyond 4th ESOMireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.comBlogger18125tag:blogger.com,1999:blog-3330018277600070275.post-37185654412923107652015-05-06T23:38:00.000-07:002015-08-29T03:03:35.902-07:00Valoració de la formació 'educació financera a les escoles'Després de les cinc sessions organitzades per <a href="http://www.efec.cat/" target="_blank">EFEC</a>, és hora d'omplir el <a href="https://docs.google.com/a/xtec.cat/forms/d/1WZLcujT3VTn307pbGqDCljjfX9HE0VNOucHXlCDW-H8/viewform?edit_requested=true" target="_blank">formulari de valoració.</a>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-61552405812291039812015-03-06T01:13:00.000-08:002015-08-29T03:51:30.522-07:00Presentation of the project<br />
<div style="text-align: justify;">
<br />
Now it's time to design your own group presentation. It can be a ppt, openoffice, google or prezi presentation and it must contain all the topics we talked about during the tessellations project. Next day you'll present the slides to the other classmates. Send an email with the slides to the teacher. The presentation will be evaluated following a <a href="https://drive.google.com/open?id=1f9fF_rRCd_Zcnj-ydMPQ9WQGSy7xZRIDJHDvHvMzoHI" target="_blank">rubrics</a>.</div>
Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-37142727287492124072015-02-25T23:52:00.000-08:002015-08-29T03:03:35.930-07:00Tessellations with Geogebra<div class="separator" style="clear: both; text-align: center;"><iframe width="320" height="266" class="YOUTUBE-iframe-video" data-thumbnail-src="https://ytimg.googleusercontent.com/vi/Eb36i-FU3NM/0.jpg" src="http://www.youtube.com/embed/Eb36i-FU3NM?feature=player_embedded" frameborder="0" allowfullscreen></iframe></div><br /><br /><br />Now it's time to design our own tessellation using <a href="http://www.geogebra.org/cms/en">geogebra</a> program. Watch the video and see if you can design a nice one. Once you have it finished, send the .ggb file to the teacher.Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-59985918391302357532015-01-23T00:51:00.000-08:002015-08-29T03:03:35.945-07:00Designing our own Escher tessellation<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/212XC1zfxXY?feature=player_embedded' frameborder='0'></iframe><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/ZNVyrxdlrGQ?feature=player_embedded' frameborder='0'></iframe></div><div style="text-align: justify;">Now it's time to design our own Escher tessellations. Watch the videos carefully. You can either choose to make a tessellation using a equilateral triangle as a basic figure (1st video) or using a square (2nd video). Now, be imaginative and try to build your own tessellations using a piece of paper, colors, ruler, a protractor and a pair of scissors.</div><div style="text-align: justify;"></div><hr /><div style="text-align: justify;"><a href="http://archive.geogebra.org/en/upload/files/english/Duke/Tessellations/escherlizards.html" target="_blank">Extra work: Studying Escher's Lizards transformations </a></div>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-90279574623698532015-01-09T02:01:00.000-08:002015-08-29T03:03:35.961-07:00Knowing MC Escher<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/Kcc56fRtrKU?feature=player_embedded' frameborder='0'></iframe></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/kZfRaPBa6dk?feature=player_embedded' frameborder='0'></iframe></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/F6U5Smc5pis?feature=player_embedded' frameborder='0'></iframe></div><a href="http://en.wikipedia.org/wiki/M._C._Escher" target="_blank">M.C. Escher</a> was a Dutch graphic artist. He was the first person to introduce a mathematical structure on tilings and tessellations. Today we'll explore some of its tessellations, paintings and woodcuts and we'll know a little better why his work represented a new insight on the way artists look at geometry.<br /><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Here below you have some links which will help you knowing the figure of M.C. Escher:</div><ul style="text-align: justify;"><li><a href="http://www.tessellations.org/tess-escher1.shtml" target="_blank">Escher's tessellations</a></li><li><a href="http://www.mcescher.com/indexuk.htm" target="_blank">Official MC Escher homepage</a></li></ul><h3 style="text-align: justify;">Activities</h3><div style="text-align: justify;">After reading those links and watching the videos, start designing a presentation. It should talk about the following points:</div><ol style="text-align: justify;"><li>Who was M.C. Escher? Write a small biography in 4 or 5 lines.</li><li>After visiting a certain place, Escher became fascinated by the regular division of the plane (tessellations). Which was this place? How this affected his own work?</li><li>Why do you think that there are mathematics in tessellations?</li><li>Which things do fascinated MC Escher and why?</li><li>What are 'Escher's Illusions'? Are you able to talk about them? </li><li>List and comment some of the artist's most famous works.</li></ol><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-46007642428334205362014-12-19T01:13:00.000-08:002015-08-29T03:03:35.998-07:00Let's craft our own theoretical physicists Xmas decorations!<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/mj6qh78gZDg?feature=player_embedded' frameborder='0'></iframe></div><br /><div style="text-align: justify;">Hi There!</div><div style="text-align: justify;">Today we'll change subject and we'll talk about Physics. Did you ever heard about <a href="http://en.wikipedia.org/wiki/Albert_Einstein" target="_blank">Albert Einstein</a>, <a href="http://en.wikipedia.org/wiki/Marie_Curie" target="_blank">Marie Curie </a>or <a href="http://en.wikipedia.org/wiki/Erwin_Schr%C3%B6dinger" target="_blank">Erwin Schrödinger</a>?</div><div style="text-align: justify;">Today, meanwhile googleing for Xmas ideas, I found a <a href="http://www.symmetrymagazine.org/article/december-2014/deck-the-halls-with-nobel-physicists" target="_blank">fantastic site</a> with physicists Xmas decorations: Let's try to build them, today! </div><ul><li style="text-align: justify;"><a href="http://www.symmetrymagazine.org/sites/default/files/images/hi-res/SnowflakeTemplate_Einstein_0.pdf" target="_blank">Einstein's template</a></li><li style="text-align: justify;"><a href="http://www.symmetrymagazine.org/sites/default/files/images/hi-res/SnowflakeTemplate_MarieCurie.pdf" target="_blank">Marie Curie's template</a></li><li style="text-align: justify;"><a href="http://www.symmetrymagazine.org/sites/default/files/images/hi-res/SnowflakeTemplate_Schrodinger.pdf" target="_blank">Schrödinger template</a></li></ul>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-11973400252713683892014-12-11T13:21:00.000-08:002015-08-29T03:36:55.164-07:00I want to tile a kitchen!<div class="separator" style="clear: both; text-align: center;">
<a href="http://1.bp.blogspot.com/-Qss7p-fJKwE/VIoJHG-IpmI/AAAAAAAAAC8/4GKg0rgDjfU/s1600/kitchenfloor.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><br /></a><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/2HUGDgn1Dp0?feature=player_embedded' frameborder='0'></iframe></div>
Have you ever wondered how to tile a floor? This may not be a trivial question. Today we'll practice a little bit. We'll use diferent tilings and we'll discuss which is the best option for us. <br />
Click on the <a href="https://drive.google.com/open?id=0Bxpfdt79LlrcVThjVndSSm14OUE" target="_blank">activities sheet to start</a>.<br />
<br />Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-65606741866452273162014-11-30T02:59:00.000-08:002015-08-29T03:03:36.022-07:00Let's tessellate!<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/5-3tOa9CPb0?feature=player_embedded' frameborder='0'></iframe></div>Did you ever heard about tessellations? Do you know how to tile a Kitchen? Had you heard about M.C.Escher? Today we'll start the tessellations' project. Are you ready?<br /><br /><h3>Activity</h3>Take a paper and try to answer the folllowing questions. You may need the resources listed below.<br /><ol><li>What does to tessellate mean? Explain it using your own words.</li><li>Are you able to list all the regular polygons? </li><li>Try to think about a method to discover if a regular polygon tessellates or not and explain it using your own words. Hint: use the number of sides and the interior angle measurements.</li><li>Build and fill in a table with the following columns: <i>regular polygon; number of sides; interior angle between sides; does it tessellate? </i></li></ol><h3>Resources</h3><ul><li><a href="http://en.wikipedia.org/wiki/Regular_polygon" target="_blank">The regular polygons' names </a></li><li><a href="http://www.shodor.org/interactivate/activities/Tessellate/" target="_blank">To tessellate with regular polygons</a></li><li><a href="http://www.mathsisfun.com/geometry/interior-angles-polygons.html" target="_blank">Regular figure's interior angles</a></li><li><a href="http://mathforum.org/sum95/suzanne/whattess.html" target="_blank">Help: what is a tessellation</a> </li></ul>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-56244334817468380642014-11-13T13:29:00.000-08:002015-08-29T03:50:05.172-07:00Fractal's presentation<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-Dn2n699GXKc/VGXJOuQDn3I/AAAAAAAAACM/seM1JeVgzIU/s1600/DSC_1967.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="212" src="http://3.bp.blogspot.com/-Dn2n699GXKc/VGXJOuQDn3I/AAAAAAAAACM/seM1JeVgzIU/s1600/DSC_1967.JPG" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Picture by Glòria Maspoch</td></tr>
</tbody></table>
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://1.bp.blogspot.com/-8I5lBWGEmuU/VGUhq3HuM_I/AAAAAAAAAB8/8GoGht65dNg/s1600/IMG_4280.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="240" src="http://1.bp.blogspot.com/-8I5lBWGEmuU/VGUhq3HuM_I/AAAAAAAAAB8/8GoGht65dNg/s320/IMG_4280.JPG" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Drawing by Gerard Hostench</td></tr>
</tbody></table>
<hr />
<h3>
Build a slide presentation </h3>
Today we are going to summarize our fractal work. In order to do so, gather in groups of 4 people and build a slide presentation containing the following points:<br />
<br />
<br />
<ol>
<li>What is a fractal?</li>
<li>Who first talked about fractals? When was it?</li>
<li>Can you list the different types of fractals?</li>
<li>Which are the most popular types of fractals?</li>
<li>Summary of the Sierpinsky triangle construction with pictures.</li>
<li>What is a Jurassic Park fractal? How is it built? Why do you think it has such a name?</li>
<li>Explain how to build a Koch snowflake fractal. Which relationship exists between Koch snowflake fractal and the coast of Australia?</li>
<li>Nature is full of fractals. Insert some picture examples and explain why they are said to be fractals.</li>
<li>Vocabulary of the project.</li>
<li>Your opinion about the project. </li>
</ol>
Next day you'll present your slides to the class. To evaluate the oral presentation, we'll use the following <a href="https://drive.google.com/open?id=1f9fF_rRCd_Zcnj-ydMPQ9WQGSy7xZRIDJHDvHvMzoHI" target="_blank">rubrics</a>. <br />
<hr />
<h3>
Extra resources</h3>
Sometimes it's nice designing our own fractal using specific software. Here you have a couple of links about it:<br />
<ul>
<li><a href="http://cs.unm.edu/~joel/PaperFoldingFractal/paper.html" target="_blank">Fractal Grower </a></li>
<li><a href="http://www.chaospro.de/" target="_blank">Chaos Pro</a></li>
</ul>
Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com1tag:blogger.com,1999:blog-3330018277600070275.post-40880354918335635542014-11-07T01:00:00.000-08:002015-08-29T03:03:36.045-07:00Fractals in natureHave you ever found a fractal in nature? The world is full of fractal structures. Do you want to explore few of them? Let's have a look!<br /><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/dZM45mfJQ40?feature=player_embedded' frameborder='0'></iframe></div><h3>Resources</h3><ul><li><a href="http://www.wired.com/2010/09/fractal-patterns-in-nature/" target="_blank">Earth's most stunning natural fractal patterns</a></li><li><a href="http://webecoist.momtastic.com/2008/09/07/17-amazing-examples-of-fractals-in-nature/" target="_blank">17 amazing examples of fractals in nature</a></li><li><a href="http://fractalfoundation.org/OFC/OFC-1-1.html" target="_blank">Fractal tree </a></li><li><a href="http://classes.yale.edu/fractals/panorama/nature/natfracgallery/natfracgallery.html" target="_blank">More examples</a></li><li><a href="http://www.miqel.com/fractals_math_patterns/visual-math-natural-fractals.html" target="_blank">More about fractals in nature</a></li></ul><h3>Activities</h3><ul></ul><ol><li>Write a 10 lines summary of which kind of fractals can we found in nature.</li><li>What does this sentence by <a href="http://en.wikipedia.org/wiki/Benoit_Mandelbrot" target="_blank">Benoit Mandelbrot</a> mean? "Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line."</li><li>Finish the work with a photo of a fractal made by you.</li><li>Write a short vocabulary of related words. </li></ol><ul></ul>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com1tag:blogger.com,1999:blog-3330018277600070275.post-64061212974715728362014-10-23T03:06:00.000-07:002015-08-29T03:03:36.056-07:00Jurassic Park fractal (Dragon curve)Have you ever read <a href="http://en.wikipedia.org/wiki/Jurassic_Park_%28novel%29" target="_blank">Michael Crichton's book, Jurassic Park?</a> On such book it appears a very weird shape called <a href="http://math.rice.edu/~lanius/frac/jurra.html" target="_blank">dragon curve</a>. And of course, it is a fractal. Today we'll discover more things about it.<br /><div class="separator" style="clear: both; text-align: center;"><object class="BLOGGER-youtube-video" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0" data-thumbnail-src="https://ytimg.googleusercontent.com/vi/wCyC-K_PnRY/0.jpg" height="266" width="320"><param name="movie" value="https://youtube.googleapis.com/v/wCyC-K_PnRY&source=uds" /><param name="bgcolor" value="#FFFFFF" /><param name="allowFullScreen" value="true" /><embed width="320" height="266" src="https://youtube.googleapis.com/v/wCyC-K_PnRY&source=uds" type="application/x-shockwave-flash" allowfullscreen="true"></embed></object></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/EdyociU35u8?feature=player_embedded' frameborder='0'></iframe></div><center><iframe allowfullscreen="" frameborder="0" height="266" src="//www.youtube.com/embed/b92gp1gLNaA" width="320"></iframe> </center><div style="text-align: justify;">After watching the videos you have to construct such a fractal using a strip of paper. You have to fold the strip very careful from left to right, several times. Do at least 4 iterations and see what happens. </div>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-78442788124720871522014-10-23T00:26:00.000-07:002015-08-29T03:03:36.068-07:00Pythagorean tree<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/jEmSxcr-rRc?feature=player_embedded' frameborder='0'></iframe><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/cUwhMvd61do?feature=player_embedded' frameborder='0'></iframe></div>Another quite amazing fractal is the <a href="http://ecademy.agnesscott.edu/~lriddle/ifs/pythagorean/pythTree.htm" target="_blank">Pythagorean Tree.</a> <a href="http://en.wikipedia.org/wiki/Pythagoras_tree_%28fractal%29" target="_blank">Do you know why it has such a name?</a> Let's try to construct one!Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-91157632871141121072014-10-16T04:23:00.000-07:002015-08-29T03:03:36.079-07:00Koch snowflake<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSKnY6nyVcGr9QjYb3rMo1mqcOwL2Tnne72B2kW18dAPlP48E-6Ug" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="82" src="https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcSKnY6nyVcGr9QjYb3rMo1mqcOwL2Tnne72B2kW18dAPlP48E-6Ug" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Taken from <a href="https://smist08.wordpress.com/tag/koch-snowflake/">https://smist08.wordpress.com/tag/koch-snowflake/</a></td></tr></tbody></table>Today we are going to learn about one of the first fractals that where studied. Watch the following two videos and afterwards try to do the related activities.<br /><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/azBNsPa1WC4?feature=player_embedded' frameborder='0'></iframe></div><hr /><div class="separator" style="clear: both; text-align: center;"><object class="BLOGGER-youtube-video" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0" data-thumbnail-src="https://ytimg.googleusercontent.com/vi/I_rw-AJqpCM/0.jpg" height="266" width="320"><param name="movie" value="https://youtube.googleapis.com/v/I_rw-AJqpCM&source=uds" /><param name="bgcolor" value="#FFFFFF" /><param name="allowFullScreen" value="true" /><embed width="320" height="266" src="https://youtube.googleapis.com/v/I_rw-AJqpCM&source=uds" type="application/x-shockwave-flash" allowfullscreen="true"></embed></object></div><br /><h3><b>Activities</b></h3><ol><li>Draw a Koch snowflake in a triangular grid. Do at least 3 iterations. </li><li>Why is the Koch snowflake considered a fractal?</li><li>Why the Koch snowflake is said to have an infinite perimeter? Explain it with your own words and equations.</li><li>What happens if you perform an infinite number of iterations?</li><li>How do you know that the area enclosed by the Koch Snowflake is finite?</li><li style="line-height: 20px;">What is the Australian coastline paradox?</li><li style="line-height: 20px;">Why the Australian and the English coastlines are said to be fractals?</li><li style="line-height: 20px;">What do the Australian coastline and Koch Snowflake have in common?</li></ol>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-82732181633350924772014-10-08T03:04:00.000-07:002015-08-29T03:03:36.089-07:00Fractals and infinite series<a href="https://www.khanacademy.org/video/doodling-in-math-class-infinity-elephants?utm_campaign=embed" style="color: #111111; font-family: helvetica;" target="_blank"> <b>Doodling in math: Infinity elephants</b></a><br /><iframe allowfullscreen="" frameborder="0" height="355" mozallowfullscreen="" scrolling="no" src="https://www.khanacademy.org/embed_video?v=DK5Z709J2eo" webkitallowfullscreen="" width="560"></iframe><br /><hr /><h3>Activities</h3>After watching the video, try to solve the following qüestions: <br /><ol><li>What is an infinite series? Can you give an exemple?</li><li>What does it mean that an infinite sum approaches to 1? Explain it with your own words</li><li>Which relationship exist between fractals and infinite series?</li><li>What is an Apollonian gasket? How is it generated?</li><li>Try to drawn a fractal that yields into an infinite series. You can take the ones that appear in the video as an exemple. </li></ol>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-1578588840650564102014-10-03T02:50:00.000-07:002015-08-29T03:03:36.099-07:00A Giant Sierpinski's Triangle<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody><tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-WVgE1Xvop5E/VC5zzI1JDFI/AAAAAAAAABM/ftwjCqUt32w/s1600/cokegasket2.gif" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-WVgE1Xvop5E/VC5zzI1JDFI/AAAAAAAAABM/ftwjCqUt32w/s1600/cokegasket2.gif" height="296" width="320" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Taken from <a href="http://paulbourke.net/fractals/gasket/">http://paulbourke.net/fractals/gasket/</a></td></tr></tbody></table>Today we'll face a challenge: we'll design a <a href="http://fractalfoundation.org/resources/fractivities/sierpinski-triangle/" target="_blank">giant Sierpinski's Triangle</a> made of all your individual ones. In order to construct such a figure, we have to organize the work:<br /><ul><li>Gather in groups of 4 or 5 people</li><li>Within your group you should draw a scheme of a giant Sierpinski's triangle using the 26 small triangles we built in class:</li><ul><li>Take the measurements of one small triangle</li><li>Make a sketch of the big composition with all the measurements</li><li>How many small triangles will you use?</li><li>How long is the side and the height of the big triangle?</li><li>Will the big triangle fit in a wall of our school corredor?</li></ul></ul>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-159741635557735992014-09-25T03:08:00.001-07:002015-08-29T03:39:38.920-07:00The Sierpinski's triangleToday we should sit in groups together. Group number 1 will start with the daily diary. Now that you know what a fractal is, let's start diving into it! One of the most popular Fractals is the <a href="http://en.wikipedia.org/wiki/Sierpinski_triangle" target="_blank">Sierpinski's triangle.</a> Are you ready to build a big one? Follow the instructions!<br />
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<ul>
<li><a href="http://fractalfoundation.org/resources/fractal-trianglethon/" target="_blank">The world largest fractal triangle</a></li>
<li><a href="http://math.rice.edu/~lanius/fractals/" target="_blank">How to build your own Sierpinski triangle</a></li>
<li><a href="https://drive.google.com/open?id=0Bxpfdt79LlrcdTZDVXY5U2tPdkk" target="_blank">Fractal triangles </a></li>
<li><a href="https://drive.google.com/open?id=0Bxpfdt79LlrcNGZObXo4TzZZa0U" target="_blank">Rubrics for the Sierpinski's triangle evaluation </a></li>
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Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-27175643224761162132014-09-17T13:10:00.003-07:002015-08-29T03:03:36.122-07:00FractalsDo you know what a Fractal is? Have you ever heard this word before? Let's explore it! <br /><hr /><iframe allowfullscreen="" frameborder="0" height="360" src="//www.youtube.com/embed/S3YvheUKSEg?feature=player_embedded" width="500"></iframe> <br /><hr /><iframe allowfullscreen="" frameborder="0" height="360" src="//www.youtube.com/embed/zcUSR_NQDFI?feature=player_embedded" width="500"></iframe> <br /><br /><ul><li><a href="http://religions7.hubpages.com/hub/what-are-fractals-2" target="_blank">What are fractals?</a></li><li><a href="http://math.rice.edu/~lanius/fractals/WHY/" target="_blank">Why do people study fractals?</a></li></ul>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0tag:blogger.com,1999:blog-3330018277600070275.post-27702715600780553272014-09-17T13:01:00.002-07:002015-08-29T03:40:25.491-07:00Welcome to the Maths and Beyond 4th ESO course!<iframe allowfullscreen="" frameborder="0" height="400" mozallowfullscreen="" src="https://prezi.com/embed/qtan9mtjbfzc/?bgcolor=ffffff&lock_to_path=0&autoplay=0&autohide_ctrls=0&features=undefined&disabled_features=undefined" webkitallowfullscreen="" width="550"></iframe> <br />
This year you'll start a new experience: once a week, we'll explore nice and funny mathematical facts. And all these in English! Let's go! After presentation, you'll try to answer some <a href="https://drive.google.com/open?id=0Bxpfdt79LlrcdE40R0c5WHRhZ3c" target="_blank">early questions</a>Mireia Dosilhttp://www.blogger.com/profile/04272438523204600305noreply@blogger.com0