{"id":11172,"date":"2021-12-27T20:01:49","date_gmt":"2021-12-27T19:01:49","guid":{"rendered":"https:\/\/agora.xtec.cat\/ceip-castelldodena\/?p=11172"},"modified":"2025-01-23T19:23:26","modified_gmt":"2025-01-23T18:23:26","slug":"un-nadal-molt-matematic","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ie-castelldodena\/general\/un-nadal-molt-matematic\/","title":{"rendered":"Un Nadal molt matem\u00e0tic!"},"content":{"rendered":"<p><span style=\"font-weight: 400;\"><a href=\"https:\/\/agora.xtec.cat\/ceip-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-scaled.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-11176\" src=\"https:\/\/agora.xtec.cat\/ceip-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-1024x768.jpg\" alt=\"\" width=\"1024\" height=\"768\" srcset=\"https:\/\/agora.xtec.cat\/ie-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/ie-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-300x225.jpg 300w, https:\/\/agora.xtec.cat\/ie-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-768x576.jpg 768w, https:\/\/agora.xtec.cat\/ie-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-1536x1152.jpg 1536w, https:\/\/agora.xtec.cat\/ie-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-2048x1536.jpg 2048w, https:\/\/agora.xtec.cat\/ie-castelldodena\/wp-content\/uploads\/usu1414\/2021\/12\/foto-01-200x150.jpg 200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a>Dins l\u2019assignatura de matem\u00e0tiques de 2n d\u2019ESO hem treballat els fractals: hem dibuixat i calculat la corba de Koch, retallat una escala fractal i finalment estudiat a fons el Triangle de Sierpinski.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Descobrim que els fractals s\u00f3n figures autosemblants, que els podem trobar a la naturalesa i reflexionem sobre la dimensi\u00f3 fractal, veiem que alguns fractals tendeixen a tenir una \u00e0rea infinita i alguns tendeixen a desapar\u00e8ixer. No arribem al final d\u2019aquest concepte complex, per\u00f2 el vivim i deixem la porta oberta a la curiositat.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">La part m\u00e9s vivencial del projecte ha sigut la construcci\u00f3 d\u2019un triangle de Sierpinski de llaunes. Dibuixem, calculem i entenem el que anem a construir. Contem les llaunes que necessitem i calculem l\u2019al\u00e7ada que tindr\u00e0 amb el teorema de Pit\u00e0gores, parlem i ens organitzem per aconseguir el nostre objectiu: 729 llaunes.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Amb l\u2019ajuda de tota l\u2019escola aconseguim totes les llaunes i finalment el constru\u00efm, un projecte transdisciplinar amb les assignatures de Matem\u00e0tiques, Tecnologia i Visual i pl\u00e0stica.\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Una forma m\u00e9s del triangle de Sierpinski que s\u2019uneix a la resta de decoracions de Nadal que han realitzat del m\u00e9s petits als m\u00e9s grans de l\u2019escola enguany sota el mateix tema.\u00a0<\/span><\/p>\n<p>Podeu veure les fotos del projecte <a href=\"https:\/\/photos.app.goo.gl\/3tvQGnaMQCBfsqjZ8\">aqu\u00ed<\/a><\/p>\n<p>Bones festes!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dins l\u2019assignatura de matem\u00e0tiques de 2n d\u2019ESO hem treballat els fractals: hem dibuixat i calculat la corba de Koch, retallat [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":11176,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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