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{"id":11319,"date":"2012-11-12T19:02:52","date_gmt":"2012-11-12T19:02:52","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11319"},"modified":"2022-01-20T02:06:53","modified_gmt":"2022-01-20T02:06:53","slug":"uma-coreografia","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11319","title":{"rendered":"Uma coreografia"},"content":{"rendered":"<p><ul id='GTTabs_ul_11319' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11319' class='GTTabs_curr'><a  id=\"11319_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11319' ><a  id=\"11319_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_11319'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11328\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11328\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia.jpg\" data-orig-size=\"420,315\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Coreografia\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia.jpg\" class=\"alignright wp-image-11328\" title=\"Coreografia\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia.jpg 420w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia-300x225.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia-150x112.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/coreografia-400x300.jpg 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>No final do ano, o professor de Educa\u00e7\u00e3o F\u00edsica de uma escola preparou uma coreografia em que os seus alunos foram colocados em filas, formando quadrados: um com $25$, outro com $49$ e outro com $144$ alunos.<\/p>\n<p>Em cada quadrado, o n\u00famero de filas era igual ao n\u00famero de alunos em cada fila.<\/p>\n<ol>\n<li>Quantos alunos participaram nessa apresenta\u00e7\u00e3o? Apresenta todos os c\u00e1lculos que efetuares.<\/li>\n<li>Cada quadrado tinha quantas filas? Com quantos alunos? Explica a tua resposta.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11319' onClick='GTTabs_show(1,11319)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11319'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11323\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11323\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia.png\" data-orig-size=\"776,395\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Coreografia\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia.png\" class=\"aligncenter wp-image-11323 size-full\" title=\"Coreografia\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia.png\" alt=\"\" width=\"776\" height=\"395\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia.png 776w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia-300x152.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia-150x76.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-coreografia-400x203.png 400w\" sizes=\"auto, (max-width: 776px) 100vw, 776px\" \/><\/a><\/p>\n<ol>\n<li>\u00a0Participaram nessa apresenta\u00e7\u00e3o $25 + 49 + 144 = 218$ alunos.<br \/>\n\u00ad<\/li>\n<li>Ora, $\\sqrt {25}\u00a0 = 5$, $\\sqrt {49}\u00a0 = 7$ e $\\sqrt {144}\u00a0 = 12$.\n<p>No grupo A, o quadrado tinha $5$ filas, com $5$ alunos em cada fila.<\/p>\n<p>No grupo B, o quadrado tinha $7$ filas, com $7$ alunos em cada fila.<\/p>\n<p>No grupo C, o quadrado tinha $12$ filas, com $12$ alunos em cada fila.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11319' onClick='GTTabs_show(0,11319)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado No final do ano, o professor de Educa\u00e7\u00e3o F\u00edsica de uma escola preparou uma coreografia em que os seus alunos foram colocados em filas, formando quadrados: um com $25$, outro com&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20732,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[319,340,339],"series":[],"class_list":["post-11319","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-numeros-inteiros-2","tag-quadrado-perfeito","tag-raiz-quadrada"],"views":2364,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7V1Pag038-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11319","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11319"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11319\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20732"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11319"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}