{"id":3901,"date":"2023-11-20T19:14:31","date_gmt":"2023-11-20T18:14:31","guid":{"rendered":"https:\/\/agora.xtec.cat\/iestossa\/?p=3901"},"modified":"2023-11-20T19:22:10","modified_gmt":"2023-11-20T18:22:10","slug":"a-la-recerca-del-nombre-%cf%80-pi","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iestossa\/general\/a-la-recerca-del-nombre-%cf%80-pi\/","title":{"rendered":"A la recerca del nombre \u03c0 (pi)"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Diversos. Tossa de Mar, novembre de 2023<\/span><\/p>\n\r\n\t<div class=\"slideshow_container slideshow_container_style-light\" style=\"height: 400px; \" data-slideshow-id=\"3874\" data-style-name=\"style-light\" data-style-version=\"2.3.1\" >\r\n\r\n\t\t\t\t\t<div class=\"slideshow_loading_icon\"><\/div>\r\n\t\t\r\n\t\t<div class=\"slideshow_content\" style=\"display: none;\">\r\n\r\n\t\t\t<div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/iestossa\/wp-content\/uploads\/usu899\/2023\/11\/nombrepi2-1-min_11zon-1-scaled.jpg\" alt=\"nombrepi2 (1)-min_11zon (1)\" width=\"2144\" height=\"2560\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">nombrepi2 (1)-min_11zon (1)<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/iestossa\/wp-content\/uploads\/usu899\/2023\/11\/nombrepi5.jpeg\" alt=\"nombrepi5\" width=\"1422\" height=\"913\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">nombrepi5<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/iestossa\/wp-content\/uploads\/usu899\/2023\/11\/nombrepi4.jpeg\" alt=\"nombrepi4\" width=\"1600\" height=\"1200\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">nombrepi4<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/iestossa\/wp-content\/uploads\/usu899\/2023\/11\/nombrepi3.jpeg\" alt=\"nombrepi3\" width=\"1519\" height=\"1453\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">nombrepi3<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/iestossa\/wp-content\/uploads\/usu899\/2023\/11\/nombrepi1.jpeg\" alt=\"nombrepi1\" width=\"1588\" height=\"1063\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t<div class=\"slideshow_title\">nombrepi1<\/div>\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div>\r\n\t\t<\/div>\r\n\r\n\t\t<div class=\"slideshow_controlPanel slideshow_transparent\" style=\"display: none;\"><ul><li class=\"slideshow_togglePlay\" data-play-text=\"Visualitza\" data-pause-text=\"Pausa\"><\/li><\/ul><\/div>\r\n\r\n\t\t<div class=\"slideshow_button slideshow_previous slideshow_transparent\" role=\"button\" data-previous-text=\"Anterior\" style=\"display: none;\"><\/div>\r\n\t\t<div class=\"slideshow_button slideshow_next slideshow_transparent\" role=\"button\" data-next-text=\"Seg\u00fcent\" style=\"display: none;\"><\/div>\r\n\r\n\t\t<div class=\"slideshow_pagination\" style=\"display: none;\" data-go-to-text=\"V\u00e9s a la diapositiva\"><div class=\"slideshow_pagination_center\"><\/div><\/div>\r\n\r\n\t\t<!-- WordPress Slideshow Version 2.3.1 -->\r\n\r\n\t\t\t<\/div>\r\n\r\n\n<p><span style=\"font-weight: 400;\">Els alumnes de 2n d&#8217;ESO van sortir al pati de l\u2019institut, l\u2019\u00faltima setmana d\u2019octubre, amb la professora de Matem\u00e0tiques, Maria Casab\u00f3, per descobrir qu\u00e8 \u00e9s i qu\u00e8 significa el nombre \u03c0.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Es van crear grups de tres per fer la pr\u00e0ctica i anotar les mesures que s\u2019anaven prenent.\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">L\u2019activitat va consistir en dibuixar a la sorra del pati una circumfer\u00e8ncia amb dos pals i un cordill. Es van prendre mesures del cordill, que equivaldria al radi, i de la circumfer\u00e8ncia, que seria la longitud.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Cada grup va repetir aquesta pr\u00e0ctica dues vegades, amb diferent mida del cordill, per tenir dos valors de refer\u00e8ncia en comptes d\u2019un de sol. L&#8217;alumnat va anotar les mesures i va fer els c\u00e0lculs que es demanaven a la fitxa de treball.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A la sessi\u00f3 seg\u00fcent, es van posar en com\u00fa tots els resultats. Dels divuit grups que es van formar, nou de cada classe (2n A i 2n B), un va agafar les mides tan b\u00e9 que el nombre \u03c0 li va sortir clavat en les dues pr\u00e0ctiques.\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Els alumnes de segon van confirmar que el nombre \u03c0 \u00e9s el resultat de dividir la longitud de la circumfer\u00e8ncia entre el seu di\u00e0metre. Dit d\u2019una manera m\u00e9s planera: \u03c0 representa les vegades que un di\u00e0metre cap dins la seva circumfer\u00e8ncia; \u00e9s a dir, 3,14 vegades.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A partir d\u2019aquesta relaci\u00f3 i repassant les operacions inverses, es va deduir la f\u00f3rmula de la longitud de la circumfer\u00e8ncia, en funci\u00f3 del di\u00e0metre i en funci\u00f3 del radi. Ara tocar\u00e0 aplicar-ho en la resoluci\u00f3 de problemes.\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Els alumnes de 2n d&#8217;ESO van sortir al pati de l\u2019institut, l\u2019\u00faltima setmana d\u2019octubre, amb la professora de Matem\u00e0tiques, Maria Casab\u00f3, per descobrir qu\u00e8 \u00e9s i qu\u00e8 significa el nombre \u03c0.\u00a0&hellip;  <a href=\"https:\/\/agora.xtec.cat\/iestossa\/general\/a-la-recerca-del-nombre-%cf%80-pi\/\" title=\"Read A la recerca del nombre \u03c0 (pi)\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":75,"featured_media":3876,"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,"footnotes":""},"categories":[150,1,86,29],"tags":[],"class_list":["post-3901","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-diversos","category-general","category-al-moment","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/posts\/3901","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/users\/75"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/comments?post=3901"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/posts\/3901\/revisions"}],"predecessor-version":[{"id":3903,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/posts\/3901\/revisions\/3903"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/media\/3876"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/media?parent=3901"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/categories?post=3901"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iestossa\/wp-json\/wp\/v2\/tags?post=3901"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}