{"id":11575,"date":"2020-01-15T09:22:14","date_gmt":"2020-01-15T09:22:14","guid":{"rendered":"http:\/\/www.ibellvitge.net\/web\/?p=11575"},"modified":"2020-01-15T09:22:14","modified_gmt":"2020-01-15T09:22:14","slug":"4t-deso-homenatja-blaise-pascal","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesbellvitge\/general\/4t-deso-homenatja-blaise-pascal\/","title":{"rendered":"4T D\u2019ESO HOMENATJA BLAISE PASCAL:"},"content":{"rendered":"<p style=\"text-align: left;\"><em>Fem un arbre molt matem\u00e0tic<\/em><\/p>\n<p>Aquest mes, els alumnes de 4t d&#8217;ESO a la mat\u00e8ria de matem\u00e0tiques, amb motiu de les festes nadalenques, hem decidit fer un petit homenatge a Blaise Pascal utilitzant el seu triangle per decorar les parets de l&#8217;institut.<\/p>\n<p>Blaise Pascal, nascut a Clarmont d&#8217;Alv\u00e8rnia (juny del 1623) i mort a Par\u00eds (agost del 1622) va ser un fil\u00f2sof, matem\u00e0tic, f\u00edsic, inventor i escriptor. Una de les seves aportacions m\u00e9s importants a l&#8217;\u00e0mbit de les matem\u00e0tiques \u00e9s el triangle de Pascal.<\/p>\n<p>Aquest \u00e9s una representaci\u00f3 gr\u00e0fica dels coeficients binominals ordenats en forma de triangle. \u00c9s utilitzat per desenvolupar pot\u00e8ncies de binomis (a+b) n de manera m\u00e9s r\u00e0pida que no pas fent-ho calculant la pot\u00e8ncia.<\/p>\n<p>Per construir aquest triangle es comen\u00e7a posant un u a la que ser\u00e0 la c\u00faspide i primera fila; despr\u00e9s, constru\u00efm les files seg\u00fcents, de manera que el nombre que posem sigui la suma dels dos nombres que t\u00e9 a dalt, i tenint en compte que als cantons d&#8217;aquest triangle sempre hi ha d&#8217;haver uns; per tant, quedaria aix\u00ed:\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-11577\" src=\"http:\/\/www.ibellvitge.net\/web\/wp-content\/uploads\/2020\/01\/TRIANGULO-PASCAL.png\" alt=\"\" width=\"554\" height=\"201\" srcset=\"https:\/\/agora.xtec.cat\/iesbellvitge\/wp-content\/uploads\/usu1070\/2020\/01\/TRIANGULO-PASCAL.png 554w, https:\/\/agora.xtec.cat\/iesbellvitge\/wp-content\/uploads\/usu1070\/2020\/01\/TRIANGULO-PASCAL-300x109.png 300w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Aquesta ha estat una activitat educativa que ens ha ajudat als alumnes a refor\u00e7ar el coneixement de les identitats notables\u00a0<span style=\"font-weight: 400;\">i alhora ha dotat a l&#8217;institut d&#8217;un ambient m\u00e9s nadalenc.<\/span><\/p>\n<p style=\"text-align: right;\">(Autor de l\u2019article: Joel S\u00e1nchez, 4t d\u2019ESO)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fem un arbre molt matem\u00e0tic Aquest mes, els alumnes de 4t d&#8217;ESO a la mat\u00e8ria de matem\u00e0tiques, amb motiu de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":11581,"comment_status":"closed","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 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