{"id":9780,"date":"2019-01-11T20:52:08","date_gmt":"2019-01-11T19:52:08","guid":{"rendered":"http:\/\/agora.xtec.cat\/ses-canovelles\/?p=9780"},"modified":"2019-01-12T17:46:38","modified_gmt":"2019-01-12T16:46:38","slug":"laboratori-de-matematiques-comptar-grans-darros","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ses-canovelles\/general\/laboratori-de-matematiques-comptar-grans-darros\/","title":{"rendered":"Laboratori de matem\u00e0tiques: Comptar grans d\u2019arr\u00f2s"},"content":{"rendered":"<p>Seguint les idees plantejades per <a href=\"https:\/\/twitter.com\/lluismora?lang=ca\">@lluismora<\/a> al Curs de Projectes de matem\u00e0tiques a secund\u00e0ria, hem plantejat una activitat per estimar el nombre de grans d\u2019arr\u00f2s en un got.<\/p>\n<p>Hem partit de la <a href=\"http:\/\/www.ccma.cat\/tv3\/alacarta\/telenoticies-vespre\/un-algoritme-catala-clava-la-xifra-de-persones-que-hi-ha-en-una-manifestacio\/video\/5761630\/#\">not\u00edcia de TV3<\/a> sobre el nou algoritme desenvolupat pel Centre de Visi\u00f3 per Computador per comptar el nombre de persones en una manifestaci\u00f3<\/p>\n<p>No ten\u00edem cap manifestaci\u00f3 a prop, per\u00f2 s\u00ed gots plens de grans d\u2019arr\u00f2s. En grups de 4-5 els alumnes han desenvolupat estrat\u00e8gies per a fer el recompte, com:<\/p>\n<ul>\n<li>Comptar la densitat de grans per quadrat en una llibreta quadriculada, i despr\u00e9s estimar-ne el total:<a href=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rB-4-1.jpg\">:\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"wp-image-9787 size-thumbnail alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rB-4-1-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/a> <a href=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rA-7-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-thumbnail wp-image-9790 alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rA-7-2-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/a><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-9788 size-thumbnail alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rA-1-1-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Pesar un grup de pocs grans (entre 20 i 200, segons la precisi\u00f3 de la balan\u00e7a) per a trobar la densitat de grans per gram, i despr\u00e9s estimar-ne el total.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-thumbnail wp-image-9792 alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rA-5-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><img loading=\"lazy\" decoding=\"async\" class=\"size-thumbnail wp-image-9791 alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rA-2-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Fer dos o tres grups grans, comptar els grans d\u2019un grup i multiplicar el resultat per 2 o 3.<img loading=\"lazy\" decoding=\"async\" class=\"size-thumbnail wp-image-9793 alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rB-3-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Al final, hem comparat resultats, m\u00e8todes i mida de la mostra i hem fet la mitjana dels resultats de cada classe.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-thumbnail wp-image-9794 alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rA-8-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/p>\n<p><a href=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rB-5.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-thumbnail wp-image-9795 alignleft\" src=\"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-content\/uploads\/usu87\/2019\/01\/3rB-5-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Seguint les idees plantejades per @lluismora al Curs de Projectes de matem\u00e0tiques a secund\u00e0ria, hem plantejat una activitat per estimar el nombre de grans d\u2019arr\u00f2s en un got. Hem partit de la not\u00edcia de TV3 sobre el nou algoritme desenvolupat pel Centre de Visi\u00f3 per Computador per comptar el nombre de persones en una manifestaci\u00f3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":9793,"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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[6,1,29],"tags":[],"class_list":["post-9780","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eso-3","category-general","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/posts\/9780","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/comments?post=9780"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/posts\/9780\/revisions"}],"predecessor-version":[{"id":9801,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/posts\/9780\/revisions\/9801"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/media\/9793"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/media?parent=9780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/categories?post=9780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ses-canovelles\/wp-json\/wp\/v2\/tags?post=9780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}