{"id":97,"date":"2015-05-18T17:17:44","date_gmt":"2015-05-18T16:17:44","guid":{"rendered":"http:\/\/blocs.xtec.cat\/laboratorimatematiques2eso\/?p=97"},"modified":"2019-11-03T22:02:15","modified_gmt":"2019-11-03T21:02:15","slug":"perimetres-i-arees-amb-el-geopla","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iessantfeliu\/general\/perimetres-i-arees-amb-el-geopla\/","title":{"rendered":"Per\u00edmetres i \u00e0rees amb el Geopla"},"content":{"rendered":"<p>Fa uns mesos, al taller de tecnologia, ens van fer construir un Geopl\u00e0 que consisteix en clabar claus en una fusta quadrada en forma de graella. La professora de tecnologia ens va dir que m\u00e9s endavant ho utilitzar\u00edem a l&#8217;aula de matem\u00e0tiques. Qu\u00e8 podia tenir a veure uns claus en una fusta i les matem\u00e0tiques? no enten\u00edem r\u00e9s. Per\u00f2 per fi ha arribat el dia de saber perqu\u00e8 serveix aix\u00f2 que n&#8217;anomenen Geopl\u00e0!<\/p>\n<p>Al laboratori de matem\u00e0tiques avui la professora ha portat els Geoplans que hav\u00edem construit i unes gomes el\u00e0stiques de colors i ens ha dit que treballar\u00edem els conceptes que hem vist a geometria: triangles, pol\u00edgons, teorema de Pit\u00e0gores, per\u00edmetres i \u00e0rees. (<a href=\"https:\/\/drive.google.com\/file\/d\/1t5-xXPyuvfIFQWnJ7awjnEak-zTwlmXA\/view?usp=sharing\">F1<\/a>)<\/p>\n<p>Tenint en compte que el per\u00edmetre entre dos claus \u00e9s 1u i l&#8217;\u00e0rea d&#8217;un dels quadradets entre quatre claus \u00e9s 1u<sup>2\u00a0<\/sup>, amb les gomes de colors hem hagut de construir figures que cumpl\u00edssin unes certes caracter\u00edstiques com:<\/p>\n<ul>\n<li>Figures que tinguessin un \u00e0rea i un per\u00edmetre determinat que ens deia la professora com per exemple, que fessin 10u de per\u00edmetre i 4u<sup>2<\/sup> d&#8217;\u00e0rea:<\/li>\n<\/ul>\n<table>\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/lh3.googleusercontent.com\/Q4CYuospf1fJ_S8wlkxCWwLVQs950mTjwUegLmxwdFk=w858-h643-no\" alt=\"\" width=\"344\" height=\"258\" \/><\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/lh3.googleusercontent.com\/e1q-TmbX1lCb3vAnLnoZwFWenq6lvi5uhtNfGbQE5ds=w483-h643-no\" alt=\"\" width=\"254\" height=\"339\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>Dues figures amb el mateix per\u00edmetre per\u00f2 diferent \u00e0rea:<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/lh3.googleusercontent.com\/X07Vb6gkTBll2pOs-qd0n7XiCOVpVhtfP2lsvqOZLE0=w858-h643-no\" alt=\"\" width=\"351\" height=\"263\" \/><\/p>\n<ul>\n<li>Dues figures amb diferent per\u00edmetre per\u00f2 igual \u00e0rea:<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/lh3.googleusercontent.com\/-1swFYQ9mwBTM083PlOdmyrEf8cIxxNb2TonQSVLoeI=w858-h643-no\" alt=\"\" width=\"348\" height=\"261\" \/><\/p>\n<p>O buscar tots els quadrats i quadril\u00e0ters possibles (buuffff! quina feinada!). Per no deixar-nos cap els an\u00e0vem dibuixant a la llibreta.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/lh3.googleusercontent.com\/C7MSYPnCZ7OFbph0kyjkFhH9mcx0sC3pFeT9nllJVfs=w858-h643-no\" alt=\"\" width=\"256\" height=\"192\" \/>Per acabar, hem hagut de buscar tots els triangles rectangles possibles diferents i calcular el seu per\u00edmetre i l&#8217;\u00e0rea tot utilitzant el Teorema de Pit\u00e0gores. Se&#8217;ns ha passat l&#8217;hora volant!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fa uns mesos, al taller de tecnologia, ens van fer construir un Geopl\u00e0 que consisteix en clabar claus en una fusta quadrada en forma de graella. La professora de tecnologia ens va dir que m\u00e9s endavant ho utilitzar\u00edem a l&#8217;aula de matem\u00e0tiques. Qu\u00e8 podia tenir&hellip;  <a href=\"https:\/\/agora.xtec.cat\/iessantfeliu\/general\/perimetres-i-arees-amb-el-geopla\/\" title=\"Read Per\u00edmetres i \u00e0rees amb el Geopla\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","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":[70,1],"tags":[],"class_list":["post-97","post","type-post","status-publish","format-standard","hentry","category-laboratori-de-les-mates","category-general"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/posts\/97","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/comments?post=97"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/posts\/97\/revisions"}],"predecessor-version":[{"id":5051,"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/posts\/97\/revisions\/5051"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/media?parent=97"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/categories?post=97"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iessantfeliu\/wp-json\/wp\/v2\/tags?post=97"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}