{"id":11381,"date":"2022-11-30T17:56:48","date_gmt":"2022-11-30T16:56:48","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesflosicalcat\/?p=11381"},"modified":"2022-12-20T21:33:35","modified_gmt":"2022-12-20T20:33:35","slug":"calendari-dadvent-matematic","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesflosicalcat\/estudis\/eso\/calendari-dadvent-matematic\/","title":{"rendered":"Calendari d&#8217;Advent matem\u00e0tic"},"content":{"rendered":"<p style=\"text-align: left;\">Aquest any, l&#8217;Advent porta m\u00e9s que xocolata !<\/p>\n<p>Cada dia lectiu d&#8217;aquest mes de desembre, podeu passar una estona resolent un passatemps en forma de repte matem\u00e0tic. L&#8217;endem\u00e0 es publicar\u00e0 la soluci\u00f3 en aquesta mateixa p\u00e0gina i trobareu el nou problema.<\/p>\n<p>Obriu la finestra i resoleu la q\u00fcesti\u00f3 formulada ! Podeu aportar la vostra resposta al nostre <a href=\"https:\/\/www.instagram.com\/insflos\/\" target=\"_blank\" rel=\"noopener\">instagram<\/a>.<\/p>\n<table style=\"border-collapse: collapse; width: 99.2794%;\">\n<tbody>\n<tr>\n<td style=\"text-align: center; width: 51.7442%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/021_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-11485\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/21_xmas.jpg\" alt=\"\" width=\"299\" height=\"327\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/21_xmas.jpg 507w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/21_xmas-274x300.jpg 274w\" sizes=\"auto, (max-width: 299px) 100vw, 299px\" \/><\/a><\/td>\n<td style=\"text-align: center; width: 47.9651%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/020_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-11483\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/20_xmas-e1671352864736.jpg\" alt=\"\" width=\"351\" height=\"331\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; width: 51.7442%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/019_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-11486\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/19_xmas.jpg\" alt=\"\" width=\"409\" height=\"409\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/19_xmas.jpg 409w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/19_xmas-300x300.jpg 300w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/19_xmas-150x150.jpg 150w\" sizes=\"auto, (max-width: 409px) 100vw, 409px\" \/><\/a><\/td>\n<td style=\"text-align: center; width: 47.9651%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/016_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-11446\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/16_xmas.jpg\" alt=\"\" width=\"378\" height=\"386\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/16_xmas.jpg 378w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/16_xmas-294x300.jpg 294w\" sizes=\"auto, (max-width: 378px) 100vw, 378px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 51.7442%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/015_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-11443\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/15_xmas.jpg\" alt=\"\" width=\"273\" height=\"205\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/15_xmas.jpg 480w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/15_xmas-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/15_xmas-200x150.jpg 200w\" sizes=\"auto, (max-width: 273px) 100vw, 273px\" \/><\/a><\/td>\n<td style=\"width: 47.9651%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/014_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11441 aligncenter\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/14_xmas.jpg\" alt=\"\" width=\"243\" height=\"265\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/14_xmas.jpg 523w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/14_xmas-274x300.jpg 274w\" sizes=\"auto, (max-width: 243px) 100vw, 243px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 51.7442%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/013_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-11439\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/13_xmas.jpg\" alt=\"\" width=\"573\" height=\"357\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/13_xmas.jpg 573w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/13_xmas-300x187.jpg 300w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/a><\/td>\n<td style=\"width: 47.9651%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/012_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-11437 aligncenter\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/12_xmas.jpg\" alt=\"\" width=\"139\" height=\"175\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/12_xmas.jpg 555w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/12_xmas-239x300.jpg 239w\" sizes=\"auto, (max-width: 139px) 100vw, 139px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 51.7442%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/12\/07_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-11429\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/7_xmas.jpg\" alt=\"\" width=\"614\" height=\"572\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/7_xmas.jpg 614w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/7_xmas-300x279.jpg 300w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/a><\/td>\n<td style=\"width: 47.9651%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/05_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11413 aligncenter\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/5_xmas.jpg\" alt=\"\" width=\"282\" height=\"251\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/5_xmas.jpg 390w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/5_xmas-300x268.jpg 300w\" sizes=\"auto, (max-width: 282px) 100vw, 282px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 51.7442%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/02_xmas.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11394 aligncenter\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/2_xmas.jpg\" alt=\"\" width=\"103\" height=\"145\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/2_xmas.jpg 500w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/2_xmas-213x300.jpg 213w\" sizes=\"auto, (max-width: 103px) 100vw, 103px\" \/><\/a><\/td>\n<td style=\"width: 47.9651%;\"><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/01_xmas-1.jpg\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-11383 aligncenter\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/1_xmas.jpg\" alt=\"\" width=\"128\" height=\"163\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/1_xmas.jpg 550w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/1_xmas-236x300.jpg 236w\" sizes=\"auto, (max-width: 128px) 100vw, 128px\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><strong>\u00a01<\/strong><\/span>: qualsevol n\u00famero de 2 xifres acabat en 9 verifica la propietat de l&#8217;enunciat. Per exemple, 39 =3 + 9 + 3 \u00b79 ,\u00a0 \u00a0 \u00a0 \u00a079 = 7 + 9 + 7 \u00b7 9, &#8230;<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia 2<\/strong><\/span> : un rectangle de base 6 i altura 3, per exemple. I n&#8217;hi ha m\u00e9s &#8230;<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><\/span><strong><span style=\"text-decoration: underline;\"> 5<\/span> : <\/strong>amb arestes 7, 4 i 2 cm \u00e9s possible. Tamb\u00e9 2, 16, 1.<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><\/span><strong><span style=\"text-decoration: underline;\"> 7<\/span><\/strong> : <a href=\"https:\/\/www.instagram.com\/p\/Cl2-u06tOxb\/\" target=\"_blank\" rel=\"noopener\">la tenen els nostres seguidors d&#8217;Instagram<\/a><\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><\/span><strong><span style=\"text-decoration: underline;\"> 12<\/span><\/strong>\u00a0: de 11 encerts (55% de 20 tirs)\u00a0 passa a 14 cistelles (56% de 25), per tant, la resposta \u00e9s 3<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><\/span><strong><span style=\"text-decoration: underline;\"> 13<\/span><\/strong> : 75 \u20ac = 60 + 10 \u00b7 1,50<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><\/span><strong><span style=\"text-decoration: underline;\"> 14<\/span><\/strong> : 16\/36 = 4\/9<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia<\/strong><\/span><strong><span style=\"text-decoration: underline;\"> 15<\/span><\/strong> : 12 = 42 &#8211; 30<\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia 16<\/strong><\/span> : <a href=\"https:\/\/www.instagram.com\/p\/CmONEOdNmcH\/\" target=\"_blank\" rel=\"noopener\">donada pels nostres seguidors d&#8217;Instagram<\/a><\/li>\n<li><span style=\"text-decoration: underline;\"><strong>Soluci\u00f3 dia 19<\/strong><\/span> :<\/li>\n<\/ul>\n<p><a href=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-11508 aligncenter\" src=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928.jpg\" alt=\"\" width=\"235\" height=\"94\" srcset=\"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928.jpg 1651w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928-300x120.jpg 300w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928-1024x410.jpg 1024w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928-768x307.jpg 768w, https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-content\/uploads\/usu1357\/2022\/11\/IMG-4928-1536x615.jpg 1536w\" sizes=\"auto, (max-width: 235px) 100vw, 235px\" \/><\/a><\/p>\n<p><em>Problemes originals de la web <a href=\"https:\/\/nrich.maths.org\/\" target=\"_blank\" rel=\"noopener\">NRICH<\/a> de la Universitat de Cambridge i de les <a href=\"https:\/\/www.cangur.org\/\" target=\"_blank\" rel=\"noopener\">Proves Cangur<\/a>.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aquest any, l&#8217;Advent porta m\u00e9s que xocolata ! Cada dia lectiu d&#8217;aquest mes de desembre, podeu passar una estona resolent un passatemps en forma de repte matem\u00e0tic. L&#8217;endem\u00e0 es publicar\u00e0 la soluci\u00f3 en aquesta mateixa p\u00e0gina i trobareu el nou problema. Obriu la finestra i resoleu la q\u00fcesti\u00f3 formulada ! Podeu aportar la vostra resposta [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11485,"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,"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":[8,3,29],"tags":[126,41,177,151],"class_list":["post-11381","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-batxillerat","category-eso","category-portada","tag-competencies","tag-matematiques","tag-projectes","tag-valors"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts\/11381","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/comments?post=11381"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts\/11381\/revisions"}],"predecessor-version":[{"id":11511,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts\/11381\/revisions\/11511"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/media\/11485"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/media?parent=11381"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/categories?post=11381"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/tags?post=11381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}