{"id":4908,"date":"2019-04-29T13:06:17","date_gmt":"2019-04-29T11:06:17","guid":{"rendered":"http:\/\/agora.xtec.cat\/esc-elfar\/?p=4908"},"modified":"2019-04-29T16:01:59","modified_gmt":"2019-04-29T14:01:59","slug":"la-successio-de-fibonnaci","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/esc-elfar\/nivells\/la-successio-de-fibonnaci\/","title":{"rendered":"La successi\u00f3 de Fibonnaci"},"content":{"rendered":"<p style=\"text-align: justify;\">\u00c9s divendres tarda. Els alumnes i la mestra de segon sortim a observar el nostre entorn m\u00e9s proper i a fer matem\u00e0tiques.<\/p>\n<p style=\"text-align: justify;\">Volem comprovar una teoria matem\u00e0tica: La successi\u00f3 de Fibonnaci.<\/p>\n<p style=\"text-align: justify;\">Per\u00f2 anem a pams&#8230; en primer lloc, qui \u00e9s Fibonnaci?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-4909 size-thumbnail\" style=\"color: #6f6f6f;\" src=\"https:\/\/agora.xtec.cat\/esc-elfar\/wp-content\/uploads\/usu1629\/2019\/04\/saupload_fibonacci2-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/p>\n<p style=\"text-align: justify;\">Fibonnaaci \u00e9s un matem\u00e0tic itali\u00e0 que va viure a l&#8217;Edat Mitjana i va descobrir una successi\u00f3 de nombres molt utilitzada en Geometria:\u00a0\u00a0<em>La successi\u00f3 de Fibonnaci.<\/em><\/p>\n<p>&nbsp;<\/p>\n<p>Aquesta successi\u00f3 de nombres \u00e9s infinita i consisteix en anar sumant sempre els dos nombres anteriors de la successi\u00f3 que comencem amb el nombre 1.<\/p>\n<p style=\"text-align: center;\">1 &#8211; 1 &#8211; 2 &#8211; 3 &#8211; 5 &#8211; 8 &#8211; 13 &#8211; 21 &#8211; 34 &#8211; 55 &#8211; 89 &#8211; 144. -&#8230;..<\/p>\n<p style=\"text-align: justify;\">Un cop coneguda la successi\u00f3 de nombres, hem apr\u00e8s que el savi matem\u00e0tic va demostrar que aquesta successi\u00f3 es repeteix constantment a la natura. \u00c9s a dir les flors tenen 1, 2, 3, 5, 8, 13, 21, 55, 89 o 144 p\u00e8tals. Les fulles a les tiges es distribueixen seguint aquest patr\u00f3 i les branques als arbres fan el mateix.<\/p>\n<p style=\"text-align: justify;\">Ohhhh ! Ens hem quedat ben sorpresos&#8230; I ho hem volgut comprovar.<\/p>\n<p style=\"text-align: justify;\">Hem sortit al carrer i hem observat les branques dels plataners, les flors del lliri d&#8217;aigua i de la margarida silvestre i les branques de diferents arbustos de la pla\u00e7a&#8230;.<\/p>\n<p style=\"text-align: justify;\">I s\u00ed, la successi\u00f3 de Fibonnaci \u00e9s certa!<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/photos.app.goo.gl\/Ux7hUsY1cRN31q8v6\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4916 size-large\" src=\"https:\/\/agora.xtec.cat\/esc-elfar\/wp-content\/uploads\/usu1629\/2019\/04\/20190426_161436-1024x768.jpg\" alt=\"\" width=\"1024\" height=\"768\" srcset=\"https:\/\/agora.xtec.cat\/esc-elfar\/wp-content\/uploads\/usu1629\/2019\/04\/20190426_161436-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/esc-elfar\/wp-content\/uploads\/usu1629\/2019\/04\/20190426_161436-300x225.jpg 300w, https:\/\/agora.xtec.cat\/esc-elfar\/wp-content\/uploads\/usu1629\/2019\/04\/20190426_161436-768x576.jpg 768w, https:\/\/agora.xtec.cat\/esc-elfar\/wp-content\/uploads\/usu1629\/2019\/04\/20190426_161436-200x150.jpg 200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>Aquest ha resultat un experiment matem\u00e0tic sorprenent, divertit i a l&#8217;abast. FANT\u00c0STIC!!!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c9s divendres tarda. Els alumnes i la mestra de segon sortim a observar el nostre entorn m\u00e9s proper i a fer matem\u00e0tiques. Volem comprovar una teoria matem\u00e0tica: La successi\u00f3 de Fibonnaci. Per\u00f2 anem a pams&#8230; en primer lloc, qui \u00e9s Fibonnaci? Fibonnaaci \u00e9s un matem\u00e0tic itali\u00e0 que va viure a l&#8217;Edat Mitjana i va descobrir [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4915,"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-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":"","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-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":"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":""},"mobile":{"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":""}},"footnotes":""},"categories":[119,1,118],"tags":[70,61,55,86,16],"class_list":["post-4908","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica-manipulativa","category-nivells","category-projectes-interdisciplinaris","tag-2n","tag-primaria","tag-experimentacio","tag-matematiques","tag-sortides"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/posts\/4908","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/comments?post=4908"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/posts\/4908\/revisions"}],"predecessor-version":[{"id":4922,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/posts\/4908\/revisions\/4922"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/media\/4915"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/media?parent=4908"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/categories?post=4908"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/esc-elfar\/wp-json\/wp\/v2\/tags?post=4908"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}