{"id":21373,"date":"2020-11-16T12:23:23","date_gmt":"2020-11-16T11:23:23","guid":{"rendered":"https:\/\/agora.xtec.cat\/ceip-santesteve\/?p=21373"},"modified":"2020-11-16T12:23:23","modified_gmt":"2020-11-16T11:23:23","slug":"%e0%b9%93%e0%b8%84te%e0%b9%93a%e0%ba%87i%e0%b9%91%e0%b8%99es","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesantesteve\/blog-1r-deso-20-21\/%e0%b9%93%e0%b8%84te%e0%b9%93a%e0%ba%87i%e0%b9%91%e0%b8%99es\/","title":{"rendered":"\u0e53\u0e04t\u0113\u0e53\u00e0\u0e87i\u0e51\u0e19\u0113\u015e"},"content":{"rendered":"

\u0e53\u0e04t\u0113\u0e53\u00e0\u0e87i\u0e51\u0e19\u0113\u015e<\/strong><\/span><\/h1>\n

\"\"<\/a><\/p>\n

A vegades no us ha sorpr\u00e8s tant la soluci\u00f3 d\u2019un problema matem\u00e0tic que heu arribat a pensar \u2018a\u00e7\u00f2 deu ser m\u00e0gia\u2019? D\u2019aix\u00f2 tracta aquest projecte que recentment hem engegat en l\u2019\u00c0mbit Matem\u00e0tic i que hem gosat a anomenar-lo \u201cmatem\u00e0giques\u201d.<\/span><\/p>\n

\u201cMatem\u00e0giques\u201d \u00e9s un compendi de recursos que ens serveixen per a analitzar, comprendre i aprendre d\u2019una forma significativa tots els continguts relatius a la <\/span>divisibilitat<\/span><\/i>: m\u00faltiples, divisors, els criteris de divisibilitat, nombres primers, etc. La unitat ha sigut presentada mitjan\u00e7ant un Sites on els i les alumnes poden trobar tot el necessari per a, d\u2019una forma aut\u00f2noma, recordar tot el que ja saben respecte d’aquesta tem\u00e0tica i que aprengueren durant l\u2019etapa prim\u00e0ria, \u00e9s a dir, connectar amb els seus coneixements previs; descobrir i aprendre nous continguts i, sobretot, practicar a trav\u00e9s d\u2019activitats interactives i jocs basats en el software GeoGebra. A m\u00e9s a m\u00e9s, i \u00e9s el que li d\u00f3na un toc definitivament distintiu, se\u2019ls proporciona la possibilitat d\u2019aplicar els coneixements adquirits per a desentranyar certs trucs \u201cmatem\u00e0gics\u201d aix\u00ed com reptar-los a crear-ne de nous!<\/span><\/p>\n

Fem una prova?!<\/span><\/p>\n

El seg\u00fcent truc s\u2019anomena \u201cCanviem a l\u201911\u201d i consisteix a obtenir, a partir de qualsevol nombre, un altre que sigui sempre m\u00faltiple d\u201911:<\/span><\/p>\n

    \n
  1. Tria un n\u00famero qualsevol de quatre xifres.<\/span><\/li>\n
  2. Forma un altre n\u00famero, passant la primera xifra del n\u00famero escollit a l’\u00faltim lloc i corrent les altres cap a l’esquerra (vegeu imatge)<\/span><\/li>\n
  3. Suma ambd\u00f3s n\u00fameros.<\/span><\/li>\n
  4. I comprova que el nombre resultant \u00e9s m\u00faltiple d\u201911!<\/span><\/li>\n<\/ol>\n

    \"\"<\/a><\/p>\n

    Com pot ser? \ud835\udcdc\u00e0\ud835\udcf0\ud835\udcf2\ud835\udcea?!<\/span><\/p>\n

    Us donem una pista?<\/p>\n

    El truc est\u00e0 a fer servir el criteri de divisibilitat de l’11: sumar les xifres en posici\u00f3 parella d’una banda, les de posici\u00f3 imparella per una altra, i restar els resultats. Si el resultat \u00e9s 0 o m\u00faltiple d’11, el nombre ser\u00e0 divisible per 11.<\/p>\n

    Si encara no te’n surts, continua llegint:<\/p>\n

    Com que el nombre que ens surt \u00e9s el resultat de la suma de dos nombres amb les mateixes xifres, per\u00f2 intercanviades, la difer\u00e8ncia entre, per una banda, la suma de les xifres que estan en posici\u00f3 parella i d’altra banda d’aquelles que estan en posici\u00f3 imparella donar\u00e0 0 i, per tant, aquest nombre sempre ser\u00e0 divisible per 11.<\/p>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

    \u0e53\u0e04t\u0113\u0e53\u00e0\u0e87i\u0e51\u0e19\u0113\u015e A vegades no us ha sorpr\u00e8s tant la soluci\u00f3 d\u2019un problema matem\u00e0tic que heu arribat a pensar \u2018a\u00e7\u00f2 deu ser m\u00e0gia\u2019? D\u2019aix\u00f2 tracta aquest projecte que recentment hem engegat en l\u2019\u00c0mbit Matem\u00e0tic i que hem gosat a anomenar-lo \u201cmatem\u00e0giques\u201d. \u201cMatem\u00e0giques\u201d \u00e9s un compendi de recursos que ens serveixen per a analitzar, comprendre i aprendre […]<\/p>\n","protected":false},"author":136,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"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":[328],"tags":[],"class_list":["post-21373","post","type-post","status-publish","format-standard","hentry","category-blog-1r-deso-20-21"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/posts\/21373","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/users\/136"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/comments?post=21373"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/posts\/21373\/revisions"}],"predecessor-version":[{"id":21378,"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/posts\/21373\/revisions\/21378"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/media?parent=21373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/categories?post=21373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesantesteve\/wp-json\/wp\/v2\/tags?post=21373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}