tag:blogger.com,1999:blog-2604027921590646812024-03-13T10:28:16.833+05:30Mathematics Projects...Showcasing students' work.Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.comBlogger44125tag:blogger.com,1999:blog-260402792159064681.post-48159888949285040002008-12-04T14:03:00.005+05:302021-05-14T11:35:04.430+05:30Mathematical designs using A.P.Specific Objective: To create Mathematical designs using paper cutting and pasting by applying the concept of Arithmetic Progression.<br />
General Objective: Enhancing creativity skills, thinking skills and critical thinking skills<br />
<br />Focal Points for exploration:<br />
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<li>What is an A.P.(Arithmetic Progression) ?</li>
<li>Using the concept of A.P. for creating geometrical designs</li>
<li>Relating Maths and Arts </li>
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<embed flashvars="host=picasaweb.google.com&captions=1&hl=en_US&feat=flashalbum&RGB=0x000000&feed=https%3A%2F%2Fpicasaweb.google.com%2Fdata%2Ffeed%2Fapi%2Fuser%2F102198212693206292490%2Falbumid%2F5675597156332731841%3Falt%3Drss%26kind%3Dphoto%26hl%3Den_US" height="267" pluginspage="http://www.macromedia.com/go/getflashplayer" src="https://picasaweb.google.com/s/c/bin/slideshow.swf" type="application/x-shockwave-flash" width="400"></embed>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com12tag:blogger.com,1999:blog-260402792159064681.post-36829585745111159552021-01-10T20:54:00.001+05:302021-01-10T20:54:04.509+05:30Folding a paper in two half 7 number of times<iframe style="background-image:url(https://i.ytimg.com/vi/gceK9_LZUIs/hqdefault.jpg)" width="480" height="270" src="https://youtube.com/embed/gceK9_LZUIs" frameborder="0"></iframe>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-65444006687215610182012-11-05T20:13:00.000+05:302020-05-24T18:48:50.401+05:30Tangram CakeMaking a tangram cake is an interesting activity.<br />
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Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-24105620120387706412014-12-24T20:30:00.000+05:302020-05-24T18:46:54.906+05:30Making of Mathematical ClocksStudents were asked to create Mathematical expressions for numbers from 1 to 12 using various mathematical concepts.<br />
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E.g 1 may be written as 3^0 or 4x/4x or 7x+1=8 and so on.</div>
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The idea is to invoke mathematical thinking, enhance creativity, sharpen mind and develop critical thinking.<br />
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<a href="http://3.bp.blogspot.com/-wLDBff_L-2E/VJrUyFQtnPI/AAAAAAAAW4Y/2G5rYspJVqw/s1600/20141222_141402.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-wLDBff_L-2E/VJrUyFQtnPI/AAAAAAAAW4Y/2G5rYspJVqw/s1600/20141222_141402.jpg" width="300" /></a></div>
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Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com2tag:blogger.com,1999:blog-260402792159064681.post-81061765204998810122007-05-16T19:17:00.001+05:302012-11-25T13:55:00.348+05:30Mathematics Rangolis
Encourage the students to make Rangoli Patterns using Mathematics.
<embed type="application/x-shockwave-flash" src="https://picasaweb.google.com/s/c/bin/slideshow.swf" width="288" height="192" flashvars="host=picasaweb.google.com&hl=en_US&feat=flashalbum&RGB=0x000000&feed=https%3A%2F%2Fpicasaweb.google.com%2Fdata%2Ffeed%2Fapi%2Fuser%2F102198212693206292490%2Falbumid%2F5747090522154254753%3Falt%3Drss%26kind%3Dphoto%26authkey%3DGv1sRgCOC-i_ves8e6Bg%26hl%3Den_US" pluginspage="http://www.macromedia.com/go/getflashplayer"></embed>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-75985914382148803012007-07-23T18:25:00.000+05:302012-11-05T20:59:16.456+05:30Math In natureI came across this photograph, and really liked it. It is showing the incredible beauty in nature and mathematics too. It is depicting the Fibonacci sequence.<br /><br /><img id="BLOGGER_PHOTO_ID_5090376246250157874" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RqSmOdrTtzI/AAAAAAAAAsc/NwHVrqBR3EI/s400/1.JPG" border="0" /><br />The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on. It begins with the number 1, and each new term from there is the sum of the previous two.Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-36365642344923615432008-08-17T10:01:00.003+05:302012-05-07T08:56:24.243+05:30Video of making an icosahedron<div align="justify">
Get inspired and learn to make icosahedron using paper plates, paper cups and much more. </div>
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Just watch it !!!<br />
<embed allowfullscreen="true" allowscriptaccess="always" height="338" src="http://blip.tv/play/gZIvg9cM5wQ" type="application/x-shockwave-flash" width="600"></embed><br />
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This is taken from Weekend Picnic projects. Here is the link for <a href="http://blog.makezine.com/archive/2006/08/weekend_projects_picnic_geomet.html">instructions</a> of making an icosahedron.<br />
Thanks for such an interesting resource. </div>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-56664308364168369072012-04-12T21:30:00.001+05:302012-04-12T21:30:46.467+05:30Making a nine point circle<br />
<strong>Learn how to make a Nine Point Circle</strong><br />
<strong>Click on the given link to see the detail</strong><br />
<strong><a href="http://www.math.hmc.edu/funfacts/ffiles/10004.2.shtml">http://www.math.hmc.edu/funfacts/ffiles/10004.2.shtml</a></strong><br />
<strong>Its an interesting activity.</strong><br />Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-58594058851573336862007-05-06T17:46:00.001+05:302012-04-12T21:29:44.945+05:30Making a Mathematical Fractal Card<strong>Do you want to learn how to make a fractal card?</strong><br />
<strong>Making a Fractal Card <img alt="" border="0" id="BLOGGER_PHOTO_ID_5061422227136372722" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/Rj3IsvK63_I/AAAAAAAAAGo/-3s_5taakaw/s200/fractal+card.gif" style="cursor: hand; display: block; margin: 0px auto 10px; text-align: center;" /><br /><br />You can make a fractal card very easily. Visit the following link.</strong><br />
<strong><br /><a href="http://classes.yale.edu/fractals/Labs/PaperFoldingLab/PaperFoldingLab.html">http://classes.yale.edu/fractals/Labs/PaperFoldingLab/PaperFoldingLab.html</a> </strong><br />
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<strong><br /></strong>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-83505301659176996582008-09-02T11:37:00.002+05:302012-03-31T22:30:25.453+05:30Icosahedron (using coffee cups)Objective: To make a model of icosahedron using paper cups
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Materials used: 140 paper cups, glue/stapler
<embed type="application/x-shockwave-flash" src="https://picasaweb.google.com/s/c/bin/slideshow.swf" width="400" height="267" flashvars="host=picasaweb.google.com&hl=en_US&feat=flashalbum&RGB=0x000000&feed=https%3A%2F%2Fpicasaweb.google.com%2Fdata%2Ffeed%2Fapi%2Fuser%2F102198212693206292490%2Falbumid%2F5675597508478883505%3Falt%3Drss%26kind%3Dphoto%26hl%3Den_US" pluginspage="http://www.macromedia.com/go/getflashplayer"></embed>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com1tag:blogger.com,1999:blog-260402792159064681.post-89910469793779673842008-09-02T09:16:00.002+05:302012-03-31T22:16:19.065+05:30Project Making Icosahedron using paper platesObjective: To make a Maths model of regular polyhedron having 20 faces, known as icosahedron using paper plates.
Material used: 20 paper plates, compass, ruler, pencil, stapler
This week we had fun and learning together in our Mathematics Laboratory. Firstly, I posted an <a href="http://mykhmsmathclass.blogspot.com/2008/08/making-dodecahedron.html">instructional video </a>for making an Icosahedron using Paper plates and cups . Students worked in groups and made amazing 3 dimensional structures.<br />
Further a discussion was done on various uses of the structure made by students.<br />
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Student's work:
<embed type="application/x-shockwave-flash" src="https://picasaweb.google.com/s/c/bin/slideshow.swf" width="400" height="267" flashvars="host=picasaweb.google.com&captions=1&hl=en_US&feat=flashalbum&RGB=0x000000&feed=https%3A%2F%2Fpicasaweb.google.com%2Fdata%2Ffeed%2Fapi%2Fuser%2F102198212693206292490%2Falbumid%2F5675597536625487665%3Falt%3Drss%26kind%3Dphoto%26hl%3Den_US" pluginspage="http://www.macromedia.com/go/getflashplayer"></embed>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-59119170426093563882007-06-14T10:41:00.001+05:302009-04-17T21:37:36.791+05:30Prime numbers Sieves method<strong><span style="color:#006600;"><em>This project is contributed by Harshit Thakur X B</em></span></strong><br /><div><div><div><div><div><div><div><br /><span style="font-size:130%;">Title Prime Numbers Eratosthenes’ Sieve</span><br /></div><br /><div><strong><span style="color:#006600;"><em>Introduction</em></span></strong><br /><strong><span style="color:#000099;">Eratosthenes(ehr-uh-TAHS-thuh-neez)<br />Eratosthenes was the librarian at Alexandria, Egypt in 200 B.C.<br />Eratosthenes was a Greek mathematician, astronomer, and geographer.<br />He invented a method for finding prime numbers that is still used today.<br />This method is called Eratosthenes’ Sieve</span>. </strong><br /><strong><span style="color:#000099;">A sieve has holes in it and is used to filter out the juice.</span></strong> </div><img id="BLOGGER_PHOTO_ID_5075784777165500402" style="DISPLAY: block; MARGIN: 0px auto 10px; WIDTH: 106px; CURSOR: hand; HEIGHT: 145px; TEXT-ALIGN: center" height="249" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RnDPXLdI7_I/AAAAAAAAARY/66h-PQd2WPI/s400/Picture1.jpg" width="199" border="0" /><strong><span style="color:#000099;">Eratosthenes’s sieve filters out numbers to find the prime numbers. </span></strong><br /></div><br /><div><strong><span style="color:#006600;"><em>Some basic knowledge</em></span></strong><br /><strong><span style="color:#000099;">Factor – a number that is multiplied by another to give a product.<br /><br />7 x 8 = 56<br />7 and 8 are the factors of 56</span></strong></div><div><strong><span style="color:#000099;"></span></strong><br /><strong><span style="color:#000099;">Factor – a number that divides evenly into another.</span></strong></div><div><strong><span style="color:#000099;">56 ÷ 8 = 7<br />8 is a factor of 56.</span></strong></div><br /><div><strong><span style="color:#000099;"></span></strong><br /><strong><span style="color:#000099;">Prime Number – a number that has only two factors, itself and 1.<br />7 is prime because the only numbers<br />that will divide into it evenly are 1 and 7.</span></strong><br /></div><br /><div><strong><em><span style="color:#006600;">Procedure </span></em></strong><br /><strong><span style="color:#000099;">Step 1 On graph paper, make a chart of the numbers from 1 to 100, with 10 numbers in each row. </span></strong><br /><br /><br /><img id="BLOGGER_PHOTO_ID_5075793169531596962" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RnDW_rdI8KI/AAAAAAAAASw/z_c3vt3rvFg/s400/picture+11.JPG" border="0" /></div><div><strong><span style="color:#000099;">Step 2 Cross out 1;it is not prime.</span></strong></div><div></div></div></div><br /><p><img id="BLOGGER_PHOTO_ID_5075787079267971090" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RnDRdLdI8BI/AAAAAAAAARo/yuwupb9En4o/s400/pic12.JPG" border="0" /><strong><span style="color:#000099;">Step 3<br />Remember all numbers divisible by 2 are even numbers.</span></strong></p><br /><p><strong><span style="color:#000099;">So leaving 2, cross all multiples of 2.</span></strong><br /></p><p><br /><img id="BLOGGER_PHOTO_ID_5075794161669042354" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RnDX5bdI8LI/AAAAAAAAAS4/rtjG_YH8DsY/s400/pic13.JPG" border="0" /><br /><strong><span style="color:#000099;">Step 4.<br />To find multiples of 3, add the digits of a number; see if you can divide this number evenly by 3; then the number is a multiple of 3. </span></strong></p><p><strong><span style="color:#000099;">e.g.<br />2 6 7<br />Total of digits = 15<br />3 divides evenly into 15<br />267 is a multiple of 3 </span></strong></p><strong><span style="color:#000099;">So, leaving 3,cross all multiples of 3. </span></strong><br /><br /><br /><p><img id="BLOGGER_PHOTO_ID_5075788878859268146" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/RnDTF7dI8DI/AAAAAAAAAR4/IShARUP846U/s400/pic14.JPG" border="0" /><strong><span style="color:#000099;">Step 5.<br />To find the multiples of 5 look for numbers that end with the digit 0 and 5.<br />e.g.<br />385 is a multiple of 5<br />& 890 is a multiple of 5<br />because the last digit<br />ends with 0 or 5. </span></strong></p><p><strong><span style="color:#000099;">So, leaving 5, cross all multiples of 5. </span></strong><br /></p><img id="BLOGGER_PHOTO_ID_5075789523104362562" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RnDTrbdI8EI/AAAAAAAAASA/XMV92SXInYY/s400/pic+15.JPG" border="0" /><br /><strong><span style="color:#000099;">Step 6. Similarly, leaving 7 cross all multiples of 7.<br /><br /></span></strong><br /><p></p><img id="BLOGGER_PHOTO_ID_5075790480882069586" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RnDUjLdI8FI/AAAAAAAAASI/12jREb9-8oQ/s400/pic+16.JPG" border="0" /><br /><p><strong><span style="color:#000099;">Step 7 Leaving 11, cross all multiples of 11.</span></strong></p><img id="BLOGGER_PHOTO_ID_5075791030637883490" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RnDVDLdI8GI/AAAAAAAAASQ/qJgswB-UwwA/s400/pic+17.JPG" border="0" /><br /><p><strong><span style="color:#000099;">Step 8 All the numbers left are prime numbers.</span></strong><br /></p><p><img id="BLOGGER_PHOTO_ID_5075791597573566578" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RnDVkLdI8HI/AAAAAAAAASY/dSDFO_-Dor0/s400/pic18.JPG" border="0" /></p></div></div></div><br /><br /><p></p><p><strong><span style="color:#000099;">Conclusion</span></strong><br /><strong><span style="color:#000099;">The Prime Numbers from 1 to 100 are as follows:</span></strong><br /><strong><span style="color:#000099;">2,3,5,7,11,13,17,19,<br />23,29,31,37,41,43,47,<br />53,59,61,67,71,73,<br />79,83,89,97<br /></span></strong></p>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-78378742259582373132007-06-20T19:01:00.001+05:302009-04-17T21:36:59.892+05:30Sundial<p>Know about Sundials</p><p><a href="http://en.wikipedia.org/wiki/Sundial">http://en.wikipedia.org/wiki/Sundial</a></p><p>How Sundials work?</p><p><a href="http://liftoff.msfc.nasa.gov/Academy/Earth/Sundial/Sundial-how.html">http://liftoff.msfc.nasa.gov/Academy/Earth/Sundial/Sundial-how.html</a></p><p>Make Sundials.</p><a href="http://www.sundials.co.uk/projects.htm#edial">http://www.sundials.co.uk/projects.htm#edial</a><br /><br />Sundials on internet<br /><br /><a href="http://www.sundials.co.uk/">http://www.sundials.co.uk/</a>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-8557534954384712712007-06-13T18:53:00.001+05:302009-04-17T21:32:18.903+05:30Quincunx Board<strong><span style="font-size:130%;color:#3333ff;">This project is contributed by Sheetal Aggarwal X-B </span></strong><br /><br /><div><strong><span style="color:#006600;"><em>Overview<br /></em></span></strong>The Quincunx Board, also called the Galton Board, was named after Sir Francis Galton. This structure consists of a triangular array of pegs. Small balls, according to the space left between consecutive pegs, are dropped onto the top peg. These balls bounce their way down and move either towards the right or left on hitting a peg. At the bottom, they are collected in small bins.<br /><br />But it is interesting to note that if there is an equal chance of bouncing left or right, most of the balls tend to fall in the bins towards the middle. If the graph of the data is made, then the ‘bell-shaped’ curve of normal distribution can be seen.<br /></div><br /><div><br /><img id="BLOGGER_PHOTO_ID_5075546247566782418" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rm_2a7dI79I/AAAAAAAAARI/dDRyzGUpaB0/s400/Picture1.jpg" border="0" /></div><br /><br /><br /><p><strong><em><span style="color:#006600;">Aim of the project<br /></span></em></strong>The aim of our project is to make a Quincunx board and visualize the curve of normal distribution. We will see what happens when we pass 100 balls through the quincunx board.</p><br /><p><span style="color:#006600;"><strong><em>Material Required<br /></em></strong></span>To make a Quincunx Board, we require the following material<br />•Plywood<br />•Enamel Paints<br />•Nails and Hammer<br />•Cardboard and Covering paper<br />•Geometry box<br />•Marbles </p><br /><p><strong><em><span style="color:#006600;">Procedure</span></em></strong><br />STEP 1: Firstly, take the piece of plywood and paint it.<br /><br /><img id="BLOGGER_PHOTO_ID_5075540719943872290" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rm_xZLdI7yI/AAAAAAAAAPw/f-NxslmUH1k/s400/Picture2.png" border="0" /></p><br /><br />STEP 2: After it dries, draw the lines and dots on which you want to fix the nails……<br /><br /><br /><br /><br /><img id="BLOGGER_PHOTO_ID_5075541042066419506" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rm_xr7dI7zI/AAAAAAAAAP4/HCWMw-HIPiA/s400/Picture3.png" border="0" /><br /><br />……so that it looks like this.<br /><br /><br /><img id="BLOGGER_PHOTO_ID_5075546711423250402" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rm_217dI7-I/AAAAAAAAARQ/FIRcJrImCOw/s400/Picture4.png" border="0" /><br /><br /><p><br />STEP 3: Fix nails into the board at the marked points. Then cut the plywood.<br /></p><img id="BLOGGER_PHOTO_ID_5075541810865565522" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/Rm_yYrdI71I/AAAAAAAAAQI/QSBd_kF320s/s400/Picture5.png" border="0" /> <p><br />STEP 4: Paint numbers from 1 to 11 under the spaces between the nails in the bottom row.<br /></p><br /><img id="BLOGGER_PHOTO_ID_5075541991254191970" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rm_yjLdI72I/AAAAAAAAAQQ/ZAieZrgXqic/s400/Picture6.png" border="0" /><br />STEP 5: Make a bin using cardboard and cover it. The bin should be big enough to keep the board in it. <img id="BLOGGER_PHOTO_ID_5075542347736477554" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rm_y37dI73I/AAAAAAAAAQY/QaiqB9ZBQpA/s400/Picture7.png" border="0" /><br />Now it’s ready!<br /><br /><img id="BLOGGER_PHOTO_ID_5075542562484842370" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/Rm_zEbdI74I/AAAAAAAAAQg/ORI1qxU3gZI/s400/Picture8.png" border="0" /><br />STEP 6: Drop 100 balls on top of the board and record how many balls fall through specific spaces. Then draw the graph of your observations.<br /><br /><img id="BLOGGER_PHOTO_ID_5075542979096670098" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/Rm_zcrdI75I/AAAAAAAAAQo/nOUX_0hOJ5o/s400/Picture9.png" border="0" /><br />On dropping 100 marbles through the Quincunx board, these were my observations-<br /><br />Slot No..............No. of balls<br />1......................... 2<br />2.........................0<br />3.........................4<br />4.........................15<br />5.........................11<br />6.........................27<br />7.........................22<br />8.........................10<br />9.........................8<br />10......................1<br />11......................0<br />The graph appears to be like<br /><br /><br /><img id="BLOGGER_PHOTO_ID_5075544533874831266" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rm_03LdI76I/AAAAAAAAAQw/7vLq6nos-o8/s400/Picture11.png" border="0" /><br /><br /><br /><br /><br /><br /><p>This resembles to the graph of a normal curve.<br />We can get even better results by using more marbles.<br /><br />We saw that most of the balls ended up in the middle bins. So, after performing this activity, we can conclude that in a quincunx board, if all the balls have an equal chance of bouncing left or right, a large proportion of them will fall in the center and we will be able to see a skewed version of the curve of normal distribution. </p><p><strong><em><span style="color:#006600;">Extension</span></em></strong><strong><em><span style="color:#006600;"><br />You can take a look at Pascal's Triangle. In fact, the Quincunx is just like Pascal's Triangle, with pegs instead of numbers. The number on each peg shows you how many different paths can be taken to get to that peg. Amazing but true.</span></em></strong></p><img id="BLOGGER_PHOTO_ID_5075545646271360946" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rm_137dI77I/AAAAAAAAAQ4/2s2VP-cICI4/s400/Picture12.jpg" border="0" /> <img id="BLOGGER_PHOTO_ID_5075545822365020098" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rm_2CLdI78I/AAAAAAAAARA/YqRL_AqWF64/s400/Picture13.png" border="0" /> <strong><em><span style="color:#006600;">References<br />I have picked up some of the information for my presentation from the following sites- </span></em></strong><p><strong><em><span style="color:#006600;"><a href="http://www.mathsisfun.com/">http://www.mathsisfun.com/</a> </span></em></strong><strong><em><span style="color:#006600;"><br /><a href="http://www.wikipedia.org/">http://www.wikipedia.org/</a> </span></em></strong></p><p><strong><span style="color:#006600;"><span style="color:#333333;">This is a great effort by Sheetal and her Parents. I would like to thank them on behalf of all the members of Planet Infinity, K.H.M.S.</span></p></span></strong><br /><br /><br /><br /><p><strong><em><span style="color:#006600;"><br /><br /></p></span></em></strong>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com2tag:blogger.com,1999:blog-260402792159064681.post-34424053380042373652007-06-04T16:54:00.001+05:302009-04-17T21:31:46.725+05:30Sierpinski Tetrahedron<strong>Sierpinski tetrahedron project</strong><br /><br />Click on the given link to find the details<br /><a href="http://classes.yale.edu/fractals/Labs/SierpTetraLab/SierpTetraLab.html">http://classes.yale.edu/fractals/Labs/SierpTetraLab/SierpTetraLab.html</a>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-16725711327394796882007-05-22T19:01:00.001+05:302009-04-17T21:29:54.478+05:30Mathematics around you<strong><span style="color:#000099;">Do you see some mathematics in these pictures?</span></strong><br /><strong><span style="color:#000099;">Definitely yes.<br /></span></strong><br /><img id="BLOGGER_PHOTO_ID_5067384307850050610" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RlL3LgnKfDI/AAAAAAAAAKQ/qzvhm0itCYQ/s200/17052007(024).jpg" border="0" /><a href="http://1.bp.blogspot.com/_bMI-KJUhzj4/RlL2-gnKfCI/AAAAAAAAAKI/h9FaolAveuA/s1600-h/11052007(055).jpg"><img id="BLOGGER_PHOTO_ID_5067384084511751202" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RlL2-gnKfCI/AAAAAAAAAKI/h9FaolAveuA/s200/11052007(055).jpg" border="0" /></a><br /><div><a href="http://2.bp.blogspot.com/_bMI-KJUhzj4/RlL2rwnKfBI/AAAAAAAAAKA/zD-4eFQgZJQ/s1600-h/17052007(022).jpg"><img id="BLOGGER_PHOTO_ID_5067383762389203986" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/RlL2rwnKfBI/AAAAAAAAAKA/zD-4eFQgZJQ/s200/17052007(022).jpg" border="0" /></a><br /><div><a href="http://4.bp.blogspot.com/_bMI-KJUhzj4/RlL2cQnKfAI/AAAAAAAAAJ4/B5z-BRKMmwg/s1600-h/17052007(013).jpg"><img id="BLOGGER_PHOTO_ID_5067383496101231618" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RlL2cQnKfAI/AAAAAAAAAJ4/B5z-BRKMmwg/s200/17052007(013).jpg" border="0" /></a> <div><strong><span style="color:#000099;">Make a project on finding mathematics around you.<br />in the house...<br />in the garden...<br />in the market...<br />in the bank....</span></strong><br /><strong><span style="color:#000099;">in the nature...<br />so on<br />I think its a great idea.It will not only add to your knowledge but also enhance your creativity .Click real photographs and make a beautiful project.You can make a slide show on <a href="http://www.slide.com/">http://www.slide.com/</a> and send it to me through E-mail.</span></strong><br /><strong><span style="color:#000099;"><br />All the Best</span></strong></div></div></div>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-86621699223458902222007-05-12T21:51:00.002+05:302009-04-17T21:29:06.842+05:30Make an Icosihenagon<strong><span style="color:#000099;">Dear Students,</span></strong><br /><strong><span style="color:#000099;">Creativity plays an important role in all the fields.You can choose this idea of making an icosihenagon for your math project.<img id="BLOGGER_PHOTO_ID_5063715932945965394" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RkXuz_K64VI/AAAAAAAAAJY/BbHsrhAd_bI/s320/icosi.jpg" border="0" />For knowing more about it, click on the following link.</span></strong><br /><strong><span style="color:#000099;"></span></strong><br /><a href="http://www.mathcats.com/crafts/icosihenagon.html">http://www.mathcats.com/crafts/icosihenagon.html</a>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-72920854504167596512007-05-10T10:20:00.001+05:302009-04-17T21:27:54.320+05:30Platonic Solids guidelines<strong>For making and exploring Platonic solids click on the given link.</strong><br /><strong></strong><br /><a href="http://www.mathsisfun.com/platonic_solids.html">http://www.mathsisfun.com/platonic_solids.html</a>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com2tag:blogger.com,1999:blog-260402792159064681.post-14609992153506514482007-05-09T22:20:00.001+05:302009-04-17T21:27:24.549+05:308 Project Ideas<div align="justify">1. <strong>Types of numbers</strong><br /><br />Discuss the different number types and explain the relationships between the types.· Explore the followingnatural numberswhole numbersintegersrational numbersirrational numbersetc.· Write the information about the origin of various types of numbers.· Explore the information about the history of numbers.Explore<a href="http://id.mind.net/~zona/mmts/miscellaneousMath/typesOfNumbers/typesOfNumbers.html">http://id.mind.net/~zona/mmts/miscellaneousMath/typesOfNumbers/typesOfNumbers.html</a>Make a project on it.<br /><br /><br />2<strong>.Matchstick Games</strong><br />Matchsticks games link<br /><a href="http://www.puzz.com/matchstickpuzzles.html">http://www.puzz.com/matchstickpuzzles.html</a><br />You can prepare a project on matchstick games .<br /><br />3.<strong>Number Spirals<br /></strong>Know about number spiral and explore the beauty of hidden mathematics in it.<a href="http://www.numberspiral.com/index.html">http://www.numberspiral.com/index.html</a><br /><br />4. <strong>Number Systems of the world</strong><br />This is an interesting link which contain interesting information about the number systems of the world. Explore this site and make an interesting project.<a href="http://www.sf.airnet.ne.jp/ts/language/number.html">http://www.sf.airnet.ne.jp/ts/language/number.html</a><br /><br />5.<strong>Fibbonacci Numbers</strong></div><br /><div align="justify">The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ...<br />Each number in the Sequence is obtained by summing the previous two numbers.<br />Observe the sequence and write the next 20 terms.<br />Explore about it in nature...<br />For example, when counting the number of petals of a flower, it is most probable that they will correspond to one of the Fibonacci Numbers. It is seen that:o Lilies have 3 petalso Buttercups commonly have 5 petalso Delphiniums have 8 petalso Ragworts have 13 petalso Asters have 21 petalsFind more information of such kind on the internet.<br />Explore the information about Leonardo Pisano Fibonacci 1170 - 1250<br />You can take the help from the following link<br /><a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html">http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html</a></div><br /><div align="justify">You can make a project on fibonacci sequence and its presence in nature.The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ... (add the last two to get the next) .It is called the Fibonacci series after Leonardo of Pisa or (Filius Bonacci), alias Leonardo Fibonacci, born in 1175, whose great book The Liber Abaci (1202) , on arithmetic, was a standard work for 200 years and is still considered the best book written on arithmetic.The following link will help you to gather useful information.<a href="http://britton.disted.camosun.bc.ca/fibslide/jbfibslide.htm">http://britton.disted.camosun.bc.ca/fibslide/jbfibslide.htm</a></div><div align="justify"></div><br /><div align="justify">6.<strong>Symbols in mathematics</strong></div><br /><div align="justify">In the previous session, one of the students made a project on mathematical symbols,their origin and utility.You can also try this one .Some of the information is given below. Search for more information .</div><br /><div align="justify">The factorial symbol n!</div><br /><div align="justify">The symbol n!, called factorial n, was introduced in 1808 by Christian Kramp of Strassbourg, who chose it so as to circumvent printing difficulties incurred by the previously used symbol thus illustrated on the right. The symbol n! for "factorial n", now universally used in algebra, is due to Christian Kramp (1760-1826) of Strassburg, who used it in 1808.</div><br /><div align="justify">The symbols for similarity and congruency</div><br /><div align="justify">Our familiar signs, in geometry, for similar, and for congruent) are due to Leibniz (1646-1715.) Leibniz made important contributions to the notation of mathematics .</div><br /><div align="justify">The symbol for angle and right angle </div><br /><div align="justify">In 1923, the National Committee on Mathematical Requirements, sponsored by the Mathematical Association of America, recommended this symbol as standard usage for angle in the United States. Historically, Pierre Herigone, in a French work in 1634, was apparently the first person to use a symbol for angle.</div><br /><div align="justify">The symbol for pi </div><br /><div align="justify">(This symbol for pi was used by the early English mathematicians William Oughtred (1574 -1660), Isaac Barrow (1630-1677), and David Gregory (1661-1701) to designate the circumference , or periphery, of a circle. The first to use the symbol for the ratio of the circumference to the diameter was the English writer, William Jones, in a publication in 1706. The symbol was not generally used in this sense, however, until Euler (1707-1783) adopted it in 1737.</div><br /><div align="justify">The symbol for infinity</div><br /><div align="justify">John Wallis (1616-1703) was one of the most original English mathematicians of his day. He was educated for the Church at Cambridge and entered Holy Orders, but his genius was employed chiefly in the study of mathematics. The Arithmetica infinitorum, published in 1655, is his greatest work. This symbol for infinity is first found in print in his 1655 publication Arithmetica Infinitorum.</div><br /><div align="justify">The symbols for ratio and proportion</div><br /><div align="justify">The symbol : to indicate ratio seems to have originated in England early in the 17th century. It appears in a text entitled Johnson’s Arithmetick ; In two Bookes (London.1633), but to indicate a fraction, three quarters being written 3:4.Have fun exploring mathematics.</div><div align="justify"></div><br /><div align="justify">7.<strong>Magic Squares</strong></div><br /><div align="justify">Click on the given link to know the detail.</div><br /><div align="justify"><a href="http://www.math.hmc.edu/funfacts/ffiles/10001.4-8.shtm">http://www.math.hmc.edu/funfacts/ffiles/10001.4-8.shtm</a></div><br /><div align="justify"></div><br /><div align="justify">l<a href="http://members.aol.com/katydidit/numbrfun.htm">http://members.aol.com/katydidit/numbrfun.htm</a></div><br /><div align="justify"></div><br /><div align="justify"><a href="http://www.grogono.com/magic/history.php">http://www.grogono.com/magic/history.php</a></div><br /><div align="justify"></div><br /><div align="justify"><a href="http://www.markfarrar.co.uk/msqhst01.htm">http://www.markfarrar.co.uk/msqhst01.htm</a></div><br /><div align="justify"></div><br /><div align="justify"><a href="http://nrich.maths.org/public/viewer.php?obj_id=1337&part=index">http://nrich.maths.org/public/viewer.php?obj_id=1337&part=index</a> </div><br /><div align="justify"></div><br /><div align="justify"><a href="http://www.geocities.com/~harveyh/magicsquare.htm">http://www.geocities.com/~harveyh/magicsquare.htm</a></div><br /><div align="justify"></div><br /><div align="justify"><a href="http://www.jcu.edu/math/vignettes/magicsquares.htm">http://www.jcu.edu/math/vignettes/magicsquares.htm</a></div><br /><div align="justify">Explore the following:</div><br /><div align="justify">What is a magic square?</div><br /><div align="justify">Explore on its historical background.</div><br /><div align="justify">What is an odd ordered magic square?</div><br /><div align="justify">Explain methods of making them.</div><br /><div align="justify">What is a dated magic square? </div><br /><div align="justify">How to make a dated magic square?</div><div align="justify"></div><br /><div align="justify"></div><div align="justify"></div><br /><div align="justify"></div><div align="justify">8. <strong>Making Koch tetrahedron</strong></div><br /><div align="justify">Click on the link given below and have fun making Koch tetrahedron <a href="http://classes.yale.edu/fractals/Labs/KochTetra/KochTetra.html">http://classes.yale.edu/fractals/Labs/KochTetra/KochTetra.html</a> </div><br /><div align="justify"></div><br /><div align="justify">The following model of Koch's tetrahedron is made by a student at K.H.M.S. Planet Infinity.</div><br /><div align="justify"></div><br /><div align="justify"><img id="BLOGGER_PHOTO_ID_5074728356944604802" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rm0OjbdI7oI/AAAAAAAAAOY/sCdUy4jmCnE/s400/koch.jpg" border="0" /></div>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-58059649335184902062007-06-20T19:03:00.002+05:302009-04-17T21:26:04.046+05:30Paper snowflakesHow to make interesting,creative snowflakes?<br /><br /><a href="http://highhopes.com/snowflakes.html">http://highhopes.com/snowflakes.html</a>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-40036267460902145392007-06-24T18:49:00.001+05:302009-04-17T21:24:58.063+05:30Moving Sculpture & Geodesic Dome<strong>A moving sculpture and Geodesic dome</strong>
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<br />
<br /></strong>Try making a moving sculpture made from paper. I find this information interesting for making models in the mathematics laboratory.
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<br /><a href="http://sci-toys.com/scitoys/scitoys/mathematics/paper_ring.html">http://sci-toys.com/scitoys/scitoys/mathematics/paper_ring.html</a>
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<br />There is one more model making description on this URL which is called a Geodesic Dome.For more detail click on the above link.
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<br />Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com0tag:blogger.com,1999:blog-260402792159064681.post-58432578248381569712007-06-30T13:32:00.001+05:302009-04-17T21:23:02.621+05:30Making Icosihenagon<strong><span style="font-size:130%;color:#cc0000;">This project is contributed by Pooja Kumar X B<br /></span><span style="color:#009900;">Aim </span></strong>To make an ICOSIHENAGON (a 21-sided polygon)… with one long continuous piece of thread.<br /><br /><strong><span style="color:#009900;">Material Required<br /></span></strong>1.Ply wood.<br />2.A long continuous thread or wool.<br />3.Nails and hammer.<br />4.Geometry box <img id="BLOGGER_PHOTO_ID_5081766964207863138" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/RoYQISzsxWI/AAAAAAAAAWA/JnURVFiPtQ4/s320/1.JPG" border="0" /><br /><br /><br /><strong><span style="color:#009900;">Introduction </span></strong><br />Icosihenagon is also known as icosikaihenagon and henicosagon. The adjective and noun icosikaihenagon means a plane figure with 21 straight sides.<br />An icosihenagon is created by a long continuous piece of thread. This project shows that maths can also be explained with the help of creativity. As in this project a continuous thread shows that an Icosihenagon has 21 sides.<br /><strong><span style="color:#009900;">Procedure</span></strong><br /><br /><br /><p align="justify"><strong>Step 1<br /></strong>Draw a large 21-point circle on a sheet as it helps in space the nails evenly in a circular shape on the design backing. So that it looks like….. </p><img id="BLOGGER_PHOTO_ID_5081767707237205362" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RoYQzizsxXI/AAAAAAAAAWI/jOlcKCo5-Yg/s320/2.JPG" border="0" /><img id="BLOGGER_PHOTO_ID_5081767763071780226" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RoYQ2yzsxYI/AAAAAAAAAWQ/2iDAvlRj8CY/s320/3.JPG" border="0" /><br /><br /><p><strong>Step 2</strong><br />Take a ply wood, lay the design template on it and press small nails through each of the 21 points forming one circular ring. <img id="BLOGGER_PHOTO_ID_5081768549050795410" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RoYRkizsxZI/AAAAAAAAAWY/oKCPt55a4Xc/s320/4.JPG" border="0" /><br /></p><strong>Step 3</strong><br />After pressing the pegs through the 21 points carefully pull the paper off the board.<br /><strong>Step 4</strong><br />Now, Take a thread and tie its one end around the top peg, then follow the following steps:<br />1.Skip 0 pegs, and<br />wrap thread around<br />the 1st peg. <img id="BLOGGER_PHOTO_ID_5081797948101936674" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RoYsTyzsxiI/AAAAAAAAAXg/kAZ2KQsOdoA/s320/Picture8.jpg" border="0" /><br />2.Skip 1 peg, and wrap<br />thread around the 2nd<br />peg. <img id="BLOGGER_PHOTO_ID_5081771718736659874" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RoYUdCzsxaI/AAAAAAAAAWg/GZCe5zasG50/s320/6.JPG" border="0" /><br />3.Skip 2 pegs, and wrap thread around the 3rd peg.<br />4.Skip 3 pegs, and wrap thread around the 4rt peg.<br />5.Skip 4 pegs, and wrap thread around the 5th peg.<br />6.Skip 5 pegs, and wrap thread around the 6th peg.<br />7.Skip 6 pegs, and wrap thread around the 7th peg .<br />8.Skip 7 pegs, and wrap thread around the 8th peg.<br />9.Skip 8 pegs, and wrap thread around the 9th peg.<br />10.Skip 9 pegs, and wrap thread around the 10th peg.<br /><br /><strong>STEP5</strong><br />After the first 10 steps, make a mark on the piece of paper.<br /><br /><img id="BLOGGER_PHOTO_ID_5081794001026991554" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RoYouCzsxcI/AAAAAAAAAWw/AwSyBIC1vg0/s320/Picture1.jpg" border="0" /><br /><strong>STEP6</strong><br />Now start the 10 steps over again from the previous 10th peg.<br />After the second set of 10 steps are complete, make a second mark on the piece of paper. Repeat the 10 steps 21 times.<br /><br /><br /><p><img id="BLOGGER_PHOTO_ID_5081794340329407954" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RoYpByzsxdI/AAAAAAAAAW4/Ohg6xhh2daY/s320/Picture2.jpg" border="0" /> <strong>The following is obtained after after completing set of 10 steps 18 times.</strong><img id="BLOGGER_PHOTO_ID_5081796195755279890" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RoYqtyzsxhI/AAAAAAAAAXY/DHN2rRiruxk/s320/Picture4.jpg" border="0" /><br /><br /><strong>After completing set of 10 steps 21 times tie off the thread on the final peg. So that it looks like…..<br /></strong><img id="BLOGGER_PHOTO_ID_5081795701834040834" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RoYqRCzsxgI/AAAAAAAAAXQ/RZmdHAScNKE/s320/Picture5.jpg" border="0" /><strong> STEP7</strong><br />Remove the marks from the board.<br /><img id="BLOGGER_PHOTO_ID_5081795375416526322" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RoYp-CzsxfI/AAAAAAAAAXI/oSAsuHHEA_o/s320/Picture6.jpg" border="0" /><br /><strong>And finally it looks like………<br /></strong><br /><img id="BLOGGER_PHOTO_ID_5081795014639273442" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RoYppCzsxeI/AAAAAAAAAXA/74alp_wIf38/s320/Picture7.jpg" border="0" /> Resources taken from<br /><a style="POSITION: relative" onclick="window.event.cancelBubble=" href="http://www.mykhmsmathclass.blogspot.com/" target="_blank">http://www.mykhmsmathclass.blogspot.com/</a><br /><a style="POSITION: relative" onclick="window.event.cancelBubble=" href="http://www.google.com/" target="_blank">http://www.google.com/</a><br /><br />Working with thread is a great fun. Different types of polygons and patterns can be created by using a continuous piece of thread. </p><p><em><span style="color:#ff6600;"><strong>It is a great effort put by Pooja and her parents. I would like to thank them on behalf of Planet Infinity K.H.M.S.</strong></span></em><em><span style="color:#ff6600;"><strong>She has proved that mathematics is not a dull subject and there is a lot of scope of creativity in it.</strong></span></em></p>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com2tag:blogger.com,1999:blog-260402792159064681.post-73797344479396151982007-07-01T13:01:00.001+05:302009-04-17T21:22:30.855+05:30Srinivasa Ramanujan<a href="http://4.bp.blogspot.com/_bMI-KJUhzj4/RoiSLSzsxjI/AAAAAAAAAXo/B5dCsEf08Zs/s1600-h/1.jpg"><img id="BLOGGER_PHOTO_ID_5082472902212503090" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/RoiSLSzsxjI/AAAAAAAAAXo/B5dCsEf08Zs/s320/1.jpg" border="0" /></a><br /><div align="justify">Mathematician SRINIVASA RAMANUJAN AIYANGAR used to say ' An equation means nothing to me unless it express a thought of god' Ramanuja .</div><ul><li><div align="justify">The Indian mathematician made substancial contribution to the analytical theory of numbers and worked on elliptic functions,continued fractions, and infinite series .S.R.Ramnujan is best known for his work in hypergeometry and continued fractions.</div></li><li><div align="justify">Ramanujan ,born into a poor family of brahmin at irode inon Dec.22,1887,attended school in nearby Kumbakonam. By the time he was 13 ,he could solve unaided every problem in Loney;s Trignometry,and at 14 he obtain the theorems for the sine and the coisine that had been anticipated by L.Eular .</div></li><li><div align="justify">In 1903 he came upon George Shoobridge Carr's Synopsis of Elimentary Results in Pure and Applied Mathematics.The book'its coverage reaching 1860,opened a whole new worldto him'and he set out to establish the 6,165 theorems in it for himself having no contact with other good books ,he had to do Original research for each solution. Trying to device them several new algebraic series.</div></li><li><div align="justify">In 1911 he started to publish some of his results.</div></li><li><div align="justify">In January 1913 Rmanujan sent some of his work to G.H.Hardy,Cayley lecture in mathematics at Cambridge . Hardy noticed that whereas Ramanujan had rediscovered , and gone gone for beyond,some of the latest conclusions of western mathematician,he was completely ignorant of western mathematician, he was completely ignorant of some of the most fundamental areas.In may the University of Madras gave Ramanujan a scholarship .</div></li><li><div align="justify">In 1914 Ramanujan went to Cambridge .<img id="BLOGGER_PHOTO_ID_5082473112665900642" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/RoiSXizsxmI/AAAAAAAAAYA/lt_wYppF_Q8/s320/in+cambridge.jpg" border="0" />The universities experience gave him considerable sophistication , but his mind , by this time somewhat hardened,generally continued continued to work according to the old pattern ,in which intutions play more important role than argument. In Hardy's opinion ,if Ramanujan's gift had been recognised early,he could have become one of the greatest mathematicians of all time. In hypergeometric series and continued fractions ,"he was unquestionably and intutions made him the greatast formalist of his day . But his passionate ,profolic,and in some ways profound work in the theory of numbers and his ways profound work in the theory of numbers and his ways profound work in the theory of numbers and his work in analysis were seriously marred by misdevelopment. </div></li><li><div align="justify">In 1918 Ramnujan was elected a fellow of the Royal Society and o fellow of Trinity College,Cambridge.</div></li><li><div align="justify">He died on April 26,1920.<img id="BLOGGER_PHOTO_ID_5082472983816881730" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/RoiSQCzsxkI/AAAAAAAAAXw/Hsb7wvOfBY4/s320/2.jpg" border="0" /></div></li></ul><br /><br />Article contributed by Mansi X BRashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com1tag:blogger.com,1999:blog-260402792159064681.post-70504294352614040712007-07-03T21:26:00.001+05:302009-04-17T21:21:41.243+05:30Making Clinometer<strong><span style="color:#009900;">This Project is contributed by Mohammad Wasif X F</span></strong><br /><br />Introduction<br />WHAT IS TRIGONOMETRY?<br /><br />THE WORD TRIGONOMETRY IS DERIVED FROM THE GREEK WORDS:<br />I)TRIGONO AND 2)METRON.THE WORD TRIGONON MEANS A TRIANGLE AND THE<br />WORD METRON MEANS A MEASURE.HENCE TRIGONOMETRY MEANS THE SCIENCE OF MEASURING TRIANGLES.<br />Line of sight:- is the line drawn from the eye of an observer to the point in the object viewed by the observer.<br />Angle of depression:-of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level.<br />Angle of elevation:-of a point viewed is the angle formed by the line of sight with the horizontal when the point being viewed above the horizontal level.<br />A clinometer is an instrument that measures vertical slope, usually the angle between the ground or the observer and a tall object, such as a tree or building.<br /><br /><strong>Aim :-</strong><span style="color:#009900;">TO MAKE A CLINOMETER<br /></span><strong>Material Required :<br /></strong>1-Protactor<br />2-Straw<br />3-Stone<br />4-Thread<br /><a href="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rop0OSzsyAI/AAAAAAAAAbQ/ukMIIYGQGcg/s1600-h/Picture1.jpg"><img id="BLOGGER_PHOTO_ID_5083002918356699138" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rop0OSzsyAI/AAAAAAAAAbQ/ukMIIYGQGcg/s320/Picture1.jpg" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><strong>Procedure<br /></strong>Step 1 Get a protractor with one straight edge (a 180 degree protractor).<br /><br /><a href="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rop0ZCzsyBI/AAAAAAAAAbY/0pMCOo3NGZA/s1600-h/Picture2.jpg"><img id="BLOGGER_PHOTO_ID_5083003103040292882" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Rop0ZCzsyBI/AAAAAAAAAbY/0pMCOo3NGZA/s320/Picture2.jpg" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />Step 2<br />Tape a straw along the straight edge of the protractor. <a href="http://4.bp.blogspot.com/_bMI-KJUhzj4/Rop0nyzsyCI/AAAAAAAAAbg/xzuRd1aHTgw/s1600-h/Picture3.jpg"><img id="BLOGGER_PHOTO_ID_5083003356443363362" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/Rop0nyzsyCI/AAAAAAAAAbg/xzuRd1aHTgw/s320/Picture3.jpg" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />Step 3.<br />Tie a string through the small hole on the straight edge that is directly across from the 0 degree mark on the protractor. This may also be labelled as 90 degrees. If your protractor does not have a small hole here, or if the hole is not situated correctly (this is a common problem with some cheap protractors), tape or glue the string to the protractor at this mark. Make sure the string dangles a few inches below the protractor. <a href="http://3.bp.blogspot.com/_bMI-KJUhzj4/Rop08izsyDI/AAAAAAAAAbo/kWIDnB_OgRI/s1600-h/Picture4.jpg"><img id="BLOGGER_PHOTO_ID_5083003712925648946" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/Rop08izsyDI/AAAAAAAAAbo/kWIDnB_OgRI/s320/Picture4.jpg" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br />Step 4<br />Attach a washer or fishing weight to the dangling end of the string.<br /><br /><a href="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rop1OSzsyEI/AAAAAAAAAbw/JoN24J_lyVk/s1600-h/Picture5.jpg"><img id="BLOGGER_PHOTO_ID_5083004017868326978" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rop1OSzsyEI/AAAAAAAAAbw/JoN24J_lyVk/s320/Picture5.jpg" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />Step 5<br />Sight the top of a tall object through the straw. <a href="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rop1ySzsyFI/AAAAAAAAAb4/IdoC2d1TIMY/s1600-h/Picture6.jpg"><img id="BLOGGER_PHOTO_ID_5083004636343617618" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Rop1ySzsyFI/AAAAAAAAAb4/IdoC2d1TIMY/s320/Picture6.jpg" border="0" /></a><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br />Step 6<br />Note the number where the string crosses. Subtract this number from 90 to determine the angle of elevation between your eye and the top of the object you are sighting<br /><br />In the above case I measured the angle of elevation and observed that the angle is 36 degrees. According to the above rule I will have to subtract the measured angle with 90 degrees. So the angle of elevation is 90 degrees -36 degrees = 54 degrees.<br /><br /><strong>Conclusion:<br /></strong>From the above discussion we have seen that we can easily find out the heights and distances without any actual measurement. We used only clinometers to measure the angle of elevation & angle of depression. with the help of trigonometric formulae's we can easily find out the height and distances.<br />Astronomers can easily find the distance of stars from earth with help of trigonometric formulae's.<br /><br /><strong>Resources:</strong><br /><br />Planet infinity.<br />Mathematics Encyclopedia.<br /><br /><em><span style="color:#cc0000;">I would like to congratulate Mohammad on behalf of Planet Infinity for doing such a wonderful job.<br /></span></em>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com6tag:blogger.com,1999:blog-260402792159064681.post-7309872359977099692007-07-07T16:17:00.001+05:302009-04-17T21:20:59.340+05:30Geoboard is Fun!This project is contributed by Tushar Bansal X B<br /><br /><div><div><div><div><div><div><strong><span style="color:#3333ff;">Aim</span></strong> To make a geoboard and verify properties of geometrical shapes on it.</div><div><strong><span style="color:#3366ff;">Introduction</span></strong><br />A geoboard is a device often used to explore basic concepts in plane geometry such as perimeter, area or the characteristics of geometrical figures.<br />It was invented and popularized by Egyptian mathematician Caleb Gattegno in the 1950's<br /></div><div><strong><span style="color:#3366ff;">Material Required</span></strong><br />•A wooden board<br />•A white chart paper<br />•Fevicol<br />•Sketch pen<br />•Nails<br />•Hammer<br />•Rubber bands<br /></div><div><strong><span style="color:#3333ff;">Procedure<br /></span></strong>20th June 2007(starting date of project)<br />Step 1- Take a wooden board of size 12inches x 12inches<br /><img id="BLOGGER_PHOTO_ID_5084407376957459042" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://4.bp.blogspot.com/_bMI-KJUhzj4/Ro9xkizsymI/AAAAAAAAAgA/rJtbHhKdhXg/s320/Picture1.jpg" border="0" /><br />Step 2- Take a white sheet of paper and cover one side of the board with it</div><br /><img id="BLOGGER_PHOTO_ID_5084407252403407442" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/Ro9xdSzsylI/AAAAAAAAAf4/wLBtriOv4GU/s320/Picture2.jpg" border="0" /> <div>Step 3-Now, with a sketch pen, draw 11 lines horizontally (parallel to length) and 11 lines vertically (parallel to breadth) leaving a gap of 1 inch between every line </div><div><img id="BLOGGER_PHOTO_ID_5084406968935565890" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Ro9xMyzsykI/AAAAAAAAAfw/jyb-v4eMzhU/s320/Picture3.jpg" border="0" /><br />After completing step 3, the board will look like this</div><br /><img id="BLOGGER_PHOTO_ID_5084406848676481586" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://1.bp.blogspot.com/_bMI-KJUhzj4/Ro9xFyzsyjI/AAAAAAAAAfo/v_rlcOkFI7s/s320/Picture4.jpg" border="0" /> <div><br />Step 4-Now,hammer the nails on the points where vertical and horizontal lines intersect each other. <img id="BLOGGER_PHOTO_ID_5084406663992887842" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Ro9w7CzsyiI/AAAAAAAAAfg/vyruV5fk4_w/s320/Picture5.jpg" border="0" /><br />Now the geoboard is ready.<br /></div><img id="BLOGGER_PHOTO_ID_5084406530848901650" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://3.bp.blogspot.com/_bMI-KJUhzj4/Ro9wzSzsyhI/AAAAAAAAAfY/EUjrvH8WnTc/s320/Picture6.jpg" border="0" /> <div>Experiment<br />Take a rubber band and stretch it along 6 horizontal and 4 vertical nails, so as to form a rectangle of size 5in.x3in.Now calculate the number of squares(1inchx1inch), inside the rectangular figure. <img id="BLOGGER_PHOTO_ID_5084406406294850050" style="DISPLAY: block; MARGIN: 0px auto 10px; CURSOR: hand; TEXT-ALIGN: center" alt="" src="http://2.bp.blogspot.com/_bMI-KJUhzj4/Ro9wsCzsygI/AAAAAAAAAfQ/sKqk1WvqXOI/s320/Picture7.jpg" border="0" /><br />The number of squares inside the rectangular figure i.e. 15 is equal to area of that rectangle.<br />Proof<br />Area of rectangle= length x breadth<br />Area of rectangle= 5 x 3 sq.inches<br />Area of the rectangle= 15 sq.inches<br /></div><div>Utility<br />It can be used to calculate areas of regular and irregular shapes.<br /><br />Its a very useful device to learn various geometrical results and verify them .<br /></div><div>Good Job!</div><div></div><div></div></div></div></div></div></div>Rashmi Kathuriahttp://www.blogger.com/profile/00944802501965898439noreply@blogger.com2