{"id":12046,"date":"2021-02-15T16:11:21","date_gmt":"2021-02-15T15:11:21","guid":{"rendered":"http:\/\/serveiseducatius.xtec.cat\/montsia\/?page_id=12046"},"modified":"2021-02-18T09:47:35","modified_gmt":"2021-02-18T08:47:35","slug":"6-quant-creus-que-mesura-aquest-arbre","status":"publish","type":"page","link":"https:\/\/serveiseducatius.xtec.cat\/montsia\/innovacio-2\/bones-practiques\/6-quant-creus-que-mesura-aquest-arbre\/","title":{"rendered":"6. Quant creus que mesura aquest arbre?"},"content":{"rendered":"<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-12047\" src=\"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-content\/uploads\/usu1125\/2021\/02\/quant-creus-que-mesura-aquest-arbre.png\" alt=\"\" width=\"483\" height=\"340\" srcset=\"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-content\/uploads\/usu1125\/2021\/02\/quant-creus-que-mesura-aquest-arbre.png 519w, https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-content\/uploads\/usu1125\/2021\/02\/quant-creus-que-mesura-aquest-arbre-300x211.png 300w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/p>\n<h3><span id=\"Dades_del_centre\">Dades del centre<\/span><\/h3>\n<p><strong>Nom del centre:<\/strong> Ins. Els Alfacs<br \/>\n<strong>Adre\u00e7a:<\/strong> Avda. Doctor Torn\u00e8, s\/n<br \/>\n<strong>Codi postal:<\/strong> 43540<br \/>\n<strong>Localitat:\u00a0<\/strong>Sant Carles de la R\u00e0pita<br \/>\n<strong>Tel\u00e8fon:<\/strong> 977746982<br \/>\n<strong>Adre\u00e7a electr\u00f2nica:<\/strong> e3007221@xtec.cat<br \/>\n<strong>Servei territorial:<\/strong>\u00a0Terres de l\u2019Ebre<\/p>\n<h3><span id=\"Breu_resum_de_l8217activitat\">Breu resum de l\u2019activitat<\/span><\/h3>\n<p>Es tracta de triar un arbre del pati i calcular la seva al\u00e7ada utilitzant diferents t\u00e8cniques (la del mirall i a partir de les ombres). L&#8217;alumnat ha d&#8217;aplicar en un context real continguts de proporcionalitat geom\u00e8trica i semblan\u00e7a de triangles.<\/p>\n<h3><span id=\"Ambits_d8217actuacio\">\u00c0mbits d\u2019actuaci\u00f3<\/span><\/h3>\n<p>Curs: 2n ESO<\/p>\n<p>Curr\u00edculum:<\/p>\n<p>Espai i forma: &#8220;Utilitzar la visualitzaci\u00f3, el raonament matem\u00e0tic i la modelitzaci\u00f3 geom\u00e8trica per a resoldre problemes&#8221;<\/p>\n<p>Mesura: &#8220;Comprendre els atributs mesurables dels objectes, i les unitats, sistemes i processos de mesura&#8221;.<\/p>\n<h3><span id=\"AreesMateriesModuls\">\u00c0rees\/Mat\u00e8ries\/M\u00f2duls<\/span><\/h3>\n<p>Matem\u00e0tiques<\/p>\n<h3><span id=\"Capacitats_Competencies\">Capacitats \/ Compet\u00e8ncies<\/span><\/h3>\n<p>Aquesta activitat ens ajuda a treballar la Compet\u00e8ncia Matem\u00e0tica, l&#8217;Autonomia i Compet\u00e8ncia personal, Aprendre a aprendre i el Coneixement i interacci\u00f3 amb el m\u00f3n f\u00edsic.<\/p>\n<p>D&#8217;acord a com gestionem l&#8217;activitat tamb\u00e9 treballem la compet\u00e8ncia Comunicativa ling\u00fc\u00edstica i audiovisual i el Tractament de la informaci\u00f3 i compet\u00e8ncia digital<\/p>\n<h3><span id=\"Descripcio_de_la_bona_practica\">Descripci\u00f3 de la bona pr\u00e0ctica<\/span><\/h3>\n<p><strong>Curs acad\u00e8mic:<\/strong> 2012-13<\/p>\n<p><strong>Punt de partida:\u00a0<\/strong>L&#8217;activitat parteix d&#8217;una pregunta on l&#8217;alumne ha de conjecturar l&#8217;al\u00e7ada d&#8217;un arbre del pati de l&#8217;institut. A continuaci\u00f3 haur\u00e0 de posar en pr\u00e0ctica els continguts m\u00e9s te\u00f2rics treballats a l&#8217;aula i mesurar d&#8217;una manera indirecta i de diferents maneres l&#8217;al\u00e7ada de l&#8217;arbre.<\/p>\n<p><strong>Objectius:<\/strong><\/p>\n<ul>\n<li>Treballar la compet\u00e8ncia matem\u00e0tica i concretament les dimensions: Resoluci\u00f3 de problemes, Raonament i prova, Connexions, Comunicaci\u00f3 i representaci\u00f3.<\/li>\n<li>Aplicar les eines matem\u00e0tiques adquirides per resoldre situacions problem\u00e0tiques.<\/li>\n<li>Aplicar la proporcionalitat geom\u00e8trica i la semblan\u00e7a de triangles.<\/li>\n<\/ul>\n<p><strong>Desenvolupament de l\u2019experi\u00e8ncia:\u00a0<\/strong>Per tenir una major riquesa competencial, els aspectes que s&#8217;han tingut en compte a l&#8217;hora de gestionar i plantejar l&#8217;activitat s\u00f3n:<\/p>\n<ul>\n<li>Partir d&#8217;una pregunta que presenta un problema a resoldre (Quant creus que mesura aquest arbre?), l&#8217;objectiu de l&#8217;activitat ser\u00e0 donar resposta a la situaci\u00f3 problem\u00e0tica plantejada.<\/li>\n<li>S&#8217;han d&#8217;aplicar coneixements adquirits (proporcionalitat, semblan\u00e7a, mesures)<\/li>\n<li>S&#8217;han de fer connexions, \u00e9s a dir, relacionar coneixements dins la matem\u00e0tica (espai i forma amb mesura)<\/li>\n<li>Implica la utilitzaci\u00f3 d&#8217;instruments i materials diversos (cinta m\u00e8trica, calculadora&#8230;)<\/li>\n<li>L&#8217;activitat es treballar\u00e0 en petit grup (3 o 4 persones)<\/li>\n<li>S&#8217;haur\u00e0 d&#8217;elaborar un informe (document de text o presentaci\u00f3 digital) explicant tot el proc\u00e9s seguit i els c\u00e0lculs efectuats, el document s&#8217;haur\u00e0 d&#8217;acompanyar de fotografies que ajudin a entendre el que han fet i s&#8217;hauran de relacionar amb els continguts m\u00e9s te\u00f2rics treballats a l&#8217;aula.<\/li>\n<li>L&#8217;activitat s&#8217;acabar\u00e0 amb una breu presentaci\u00f3 oral del treball a la resta de grup classe.<\/li>\n<\/ul>\n<p><strong>Temporitzaci\u00f3:\u00a0<\/strong>1 hora de treball al pati, 1h de treball a l&#8217;aula per fer l&#8217;informe escrit i 1h per la presentaci\u00f3 oral al grup classe.<\/p>\n<p><strong>Recursos humans i materials:\u00a0<\/strong>Cinta m\u00e8trica, espill, calculadora, m\u00e0quina fotogr\u00e0fica i quadern de classe.<\/p>\n<p><strong>Valoracions i conclusions:\u00a0<\/strong>Que una activitat sigui rica per desenvolupar les compet\u00e8ncies dep\u00e8n de com es planteja l&#8217;activitat, \u00e9s a dir, de les seves caracter\u00edstiques, per\u00f2 tamb\u00e9 de com es gestiona a l&#8217;aula. Per valorar aquesta riquesa competencial pot servir d&#8217;ajuda el document sobre &#8220;Indicadors competencials&#8221; del CREAMAT<\/p>\n<p><strong>Documentaci\u00f3 complement\u00e0ria:\u00a0<\/strong>MUD: &#8220;Triangles i enginy per calcular dist\u00e0ncies&#8221;<\/p>\n<p><a href=\"http:\/\/www.edu365.cat\/eso\/matematiques\/triangles\/index.htm\">http:\/\/www.edu365.cat\/eso\/matematiques\/triangles\/index.htm<\/a><\/p>\n<p>&nbsp;<\/p>\n<h3><span id=\"Autoria_de_l8217experiencia\">Autoria de l\u2019experi\u00e8ncia<\/span><\/h3>\n<p><strong>Coordinaci\u00f3:\u00a0<\/strong>Departament de matem\u00e0tiques. INS Els Alfacs<br \/>\n<strong>Professorat implicat:\u00a0<\/strong>Ximo Chust i Rosa Revert\u00e9<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dades del centre Nom del centre: Ins. Els Alfacs Adre\u00e7a: Avda. Doctor Torn\u00e8, s\/n Codi postal: 43540 Localitat:\u00a0Sant Carles de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":12016,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"page-templates\/side-menu.php","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":""},"class_list":["post-12046","page","type-page","status-publish","hentry"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/pages\/12046","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/comments?post=12046"}],"version-history":[{"count":2,"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/pages\/12046\/revisions"}],"predecessor-version":[{"id":12170,"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/pages\/12046\/revisions\/12170"}],"up":[{"embeddable":true,"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/pages\/12016"}],"wp:attachment":[{"href":"https:\/\/serveiseducatius.xtec.cat\/montsia\/wp-json\/wp\/v2\/media?parent=12046"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}