{"id":5340,"date":"2017-03-15T21:07:29","date_gmt":"2017-03-15T20:07:29","guid":{"rendered":"http:\/\/agora.xtec.cat\/insllicamunt2\/?p=5340"},"modified":"2017-03-15T21:08:04","modified_gmt":"2017-03-15T20:08:04","slug":"pi-aproximacio-amb-soja","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/insllicamunt2\/el-far-dhipatia\/grups\/pi-aproximacio-amb-soja\/","title":{"rendered":"Pi-aproximaci\u00f3 amb soja"},"content":{"rendered":"<p style=\"text-align: justify;\">Aquest dimarts, dia 3\/14, els alumnes de 1r d&#8217;ESO van\u00a0celebrar el dia Pi tot realitzant un experiment per aproximar el nombre pi a partir de la relaci\u00f3 entre l\u2019\u00e0rea d\u2019un cercle i l&#8217;\u00e0rea del quadrat que l&#8217;inscriu.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked2017-03-15-2100.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5343\" src=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked2017-03-15-2100.jpg\" alt=\"watermarked2017-03-15-2100\" width=\"600\" height=\"450\" srcset=\"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked2017-03-15-2100.jpg 600w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked2017-03-15-2100-300x225.jpg 300w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked2017-03-15-2100-200x150.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Els alumnes van anar cobrint la superf\u00edcie del cercle amb llavors de soja, que anaven comptant amb l&#8217;objectiu de con\u00e8ixer el total de boletes necess\u00e0ries per completar la figura.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked12017-03-15-2058.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5344\" src=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked12017-03-15-2058.jpg\" alt=\"watermarked12017-03-15-2058\" width=\"600\" height=\"450\" srcset=\"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked12017-03-15-2058.jpg 600w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked12017-03-15-2058-300x225.jpg 300w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked12017-03-15-2058-200x150.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Quan van assolir l&#8217;\u00e0rea del cercle, van apuntar el total de llavors utilitzades. Despr\u00e9s van continuar fins omplir el quadrat sencer, i van apuntar de nou el total.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked22017-03-15-2058.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5345\" src=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked22017-03-15-2058.jpg\" alt=\"watermarked22017-03-15-2058\" width=\"600\" height=\"450\" srcset=\"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked22017-03-15-2058.jpg 600w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked22017-03-15-2058-300x225.jpg 300w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked22017-03-15-2058-200x150.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Fent la divisi\u00f3 del nombre de boletes del cercle entre el de les del quadrat multiplicat per 4, els alumnes han arribat a obtenir una\u00a0aproximaci\u00f3 del nombre Pi igual a 3,09, la qual cosa no ha estat gens malament!<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked42017-03-15-2058.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5347\" src=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked42017-03-15-2058.jpg\" alt=\"watermarked42017-03-15-2058\" width=\"600\" height=\"450\" srcset=\"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked42017-03-15-2058.jpg 600w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked42017-03-15-2058-300x225.jpg 300w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked42017-03-15-2058-200x150.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Si voleu veure com es fa l\u2019experiment, aneu al seg\u00fcent <a href=\"https:\/\/www.youtube.com\/watch?time_continue=1&amp;v=uHH5C71qUKA\">LINK<\/a>.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked32017-03-15-2058.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5346\" src=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked32017-03-15-2058.jpg\" alt=\"watermarked32017-03-15-2058\" width=\"600\" height=\"450\" srcset=\"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked32017-03-15-2058.jpg 600w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked32017-03-15-2058-300x225.jpg 300w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked32017-03-15-2058-200x150.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Conjuntament amb els professors, els alumnes van arribar a la conclusi\u00f3 que necessitarien un cercle molt m\u00e9s gran per aconseguir una aproximaci\u00f3 m\u00e9s bona.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked52017-03-15-2058.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5348\" src=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked52017-03-15-2058.jpg\" alt=\"watermarked52017-03-15-2058\" width=\"600\" height=\"450\" srcset=\"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked52017-03-15-2058.jpg 600w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked52017-03-15-2058-300x225.jpg 300w, https:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked52017-03-15-2058-200x150.jpg 200w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Tots plegats ens\u00a0ho hem passat molt b\u00e9 descobrint el nombre irracional del dia!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aquest dimarts, dia 3\/14, els alumnes de 1r d&#8217;ESO van\u00a0celebrar el dia Pi tot realitzant un experiment per aproximar el nombre pi a partir de la relaci\u00f3 entre l\u2019\u00e0rea d\u2019un cercle i l&#8217;\u00e0rea del quadrat que l&#8217;inscriu.<br \/>\n<a href=\"http:\/\/agora.xtec.cat\/insllicamunt2\/wp-content\/uploads\/usu1100\/2017\/03\/Watermarked2017-03-15-2100.jpg\"><\/a><br \/>\nEls alumnes van anar cobrint la superf\u00edcie del&hellip;  <a href=\"https:\/\/agora.xtec.cat\/insllicamunt2\/el-far-dhipatia\/grups\/pi-aproximacio-amb-soja\/\" title=\"Read Pi-aproximaci\u00f3 amb soja\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":247,"featured_media":5345,"comment_status":"open","ping_status":"open","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,"footnotes":""},"categories":[4,101,99,593,1040,3,354,98,29],"tags":[1475,1484,1487,382,1485,1473,442,1476,860,1486],"class_list":["post-5340","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1r-deso","category-activitats-de-centre","category-articles","category-comunitat-educativa","category-el-far-dhipatia","category-grups","category-matematiques","category-noticies-breus","category-portada","tag-1475","tag-aproximacio","tag-area","tag-calcul","tag-cercle","tag-dia-pi","tag-matematiques","tag-mates","tag-pi","tag-quadrat"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/posts\/5340","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/users\/247"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/comments?post=5340"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/posts\/5340\/revisions"}],"predecessor-version":[{"id":5349,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/posts\/5340\/revisions\/5349"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/media\/5345"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/media?parent=5340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/categories?post=5340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/insllicamunt2\/wp-json\/wp\/v2\/tags?post=5340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}