{"id":4547,"date":"2020-05-15T09:00:01","date_gmt":"2020-05-15T07:00:01","guid":{"rendered":"http:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/?p=4547"},"modified":"2020-05-14T19:12:08","modified_gmt":"2020-05-14T17:12:08","slug":"actrivitat-5-tercer-video","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/general\/c-inicial\/1r\/actrivitat-5-tercer-video\/","title":{"rendered":"ACTRIVITAT 5. TERCER V\u00cdDEO"},"content":{"rendered":"<p>Bon dia!!<\/p>\n<p>\u00daltim v\u00eddeo de l&#8217;acTRIvitat de la setmana!!<\/p>\n<p>Heu resolt el primer i el segon repte?? Esperem les vostres respostes al correu de la classe!<\/p>\n<p>Animeu-vos!<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Reflexionem i anem m\u00e9s enll\u00e0<\/strong><\/span><\/p>\n<p><a href=\"https:\/\/youtu.be\/CND9PZxGuY0\">V\u00eddeo de primer<\/a><\/p>\n<p>Pretenem que els infants hagin trobat algunes parelles de grups de targetes que permeten omplir dues igualtats com la proposada en el primer v\u00eddeo. En cap cas perseguim que trobin totes les opcions: n\u2019hi ha prou d\u2019haver trobat uns quants grups, com ara:<\/p>\n<ul>\n<li>0, 1, 5 i 6\u00a0 \u00a0 2, 3, 4 i 9<\/li>\n<li>1, 2, 4 i 7\u00a0 \u00a0 0, 3, 6 i 9<\/li>\n<\/ul>\n<p>Tot i aix\u00f2, podem aprofitar la for\u00e7a de tot el grup per fer una posada en com\u00fa i recollir una gran quantitat de solucions diverses.<\/p>\n<p>Per acabar, els proposem que reflexionin sobre algunes regularitats observables a partir de les seg\u00fcents preguntes:<\/p>\n<ul>\n<li>Quins nombres no poden anar mai a la casella vermella?<\/li>\n<li>I quins no poden anar mai a la casella blava?<\/li>\n<\/ul>\n<p><a href=\"https:\/\/youtu.be\/ffEnuZ8qwQs\">V\u00eddeo de segon<\/a><\/p>\n<p>Pretenem que els infants hagin descobert i comprovin que, formats per 15 cercles, nom\u00e9s hi ha 2 rectangles plens: 15 i 5 + 5 + 5.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4567\" src=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n1.png\" alt=\"\" width=\"580\" height=\"96\" srcset=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n1.png 580w, https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n1-300x50.png 300w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/a><\/p>\n<p>En canvi, amb 16 cercles hi ha 3 rectangles de cada tipus: 16, 8 + 8, 4 + 4 + 4 + 4, 7 + 1 + 1 + 7, 6 + 1 + 1 + 1 + 1 + 6 i 5 + 1 + 1 + 1 + 1 + 1 + 1 + 5.<\/p>\n<p><a href=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4568 aligncenter\" src=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n2.png\" alt=\"\" width=\"571\" height=\"203\" srcset=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n2.png 571w, https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-content\/uploads\/usu1061\/2020\/05\/actri52n2-300x107.png 300w\" sizes=\"auto, (max-width: 571px) 100vw, 571px\" \/><\/a><\/p>\n<p>Per anar m\u00e9s enll\u00e0, proposem als infants que trobin una quantitat de cercles que permeti construir m\u00e9s rectangles buits que plens. I els donem una pista: hi ha una soluci\u00f3 amb una quantitat de cercles entre 10 i 20.<\/p>\n<p>Tamb\u00e9 podem plantejar m\u00e9s preguntes als infants, que els condueixin a la cerca de regularitats i observacions com ara:<\/p>\n<ul>\n<li>Si la quantitat de cercles \u00e9s m\u00faltiple de 4, sempre es poden fer quadrats buits.<\/li>\n<li>Sempre es poden construir rectangles plens (com a m\u00ednim, el d\u2019una \u00fanica fila) per\u00f2 amb una quantitat senar de cercles no es poden rectangles buits.<\/li>\n<li>Si la quantitat de cercles \u00e9s un nombre quadrat parell major que 4 (per exemple, el 16 o el 36), es poden fer els dos tipus de quadrats.<\/li>\n<li>A partir de 24 cercles s\u2019obren noves maneres de solucionar el problema:<\/li>\n<li>Amb una quantitat 2n de cercles:\n<ul>\n<li>la quantitat de rectangles plens dep\u00e8n del nombre de divisors de n.<\/li>\n<li>la quantitat de rectangles buits \u00e9s\u00a0n\/2\u00a0\u2013 1\u00a0si n \u00e9s parell i (n \u2013\u00a03) \/\u00a02\u00a0si n \u00e9s senar.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bon dia!!<br \/>\n\u00daltim v\u00eddeo de l&#8217;acTRIvitat de la setmana!!<br \/>\nHeu resolt el primer i el segon repte?? Esperem les vostres respostes al correu de la classe!<br \/>\nAnimeu-vos!<br \/>\nReflexionem i anem m\u00e9s enll\u00e0<br \/>\n<a href=\"https:\/\/youtu.be\/CND9PZxGuY0\">V\u00eddeo de primer<\/a><br \/>\nPretenem que els infants hagin trobat algunes parelles de grups de targetes que permeten omplir&hellip;  <a href=\"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/general\/c-inicial\/1r\/actrivitat-5-tercer-video\/\" title=\"Read ACTRIVITAT 5. TERCER V\u00cdDEO\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":47,"featured_media":0,"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":[10,11,52],"tags":[],"class_list":["post-4547","post","type-post","status-publish","format-standard","hentry","category-1r","category-2n","category-c-inicial"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/posts\/4547","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/users\/47"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/comments?post=4547"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/posts\/4547\/revisions"}],"predecessor-version":[{"id":4570,"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/posts\/4547\/revisions\/4570"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/media?parent=4547"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/categories?post=4547"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceip-pompeu-cunit\/wp-json\/wp\/v2\/tags?post=4547"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}