{"id":176,"date":"2016-10-13T20:45:32","date_gmt":"2016-10-13T12:45:32","guid":{"rendered":"http:\/\/ee.mlfmonde.org\/wuhan-renault\/?p=176"},"modified":"2019-08-01T13:52:45","modified_gmt":"2019-08-01T05:52:45","slug":"des-triangles-et-encore-des-triangles","status":"publish","type":"post","link":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/","title":{"rendered":"Des triangles et encore des triangles !"},"content":{"rendered":"<p id=\"firstHeading\" class=\"firstHeading\" lang=\"fr\">Le triangle de Sierpi\u0144ski est une fractale \u00e0 base de triangles imbriqu\u00e9s et pouvant se r\u00e9p\u00e9ter ind\u00e9finiment. Les \u00e9l\u00e8ves de coll\u00e8ge ont chacun compos\u00e9 une partie d&rsquo;un plus grand triangle, devenu \u0153uvre collective.<\/p>\n<p class=\"firstHeading\" lang=\"fr\">La figure compos\u00e9e peut donner \u00e0 de multiples exercices de calcul : le nombre total de triangles, le nombre de triangles color\u00e9s, les p\u00e9rim\u00e8tres cumul\u00e9s de tous les triangles, des calculs de surface&#8230; Autant de situations de recherche qui ont \u00e9galement impliqu\u00e9 les classes de nos coll\u00e8gues de la WIYS tr\u00e8s volontaires pour r\u00e9soudre ces diff\u00e9rents probl\u00e8mes.<\/p>\n<p class=\"firstHeading\" lang=\"fr\">Le couloir du 5\u00e8me \u00e9tage s&rsquo;est transform\u00e9 en espace de travail le temps de ces recherches !<\/p>\n<p>Le langage math\u00e9matiques est vraiment universel.<\/p>\n\n\t\t<style type=\"text\/css\">\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 33%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid #cfcfcf;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-caption {\n\t\t\t\tmargin-left: 0;\n\t\t\t}\n\t\t\t\/* see gallery_shortcode() in wp-includes\/media.php *\/\n\t\t<\/style>\n\t\t<div id='gallery-1' class='gallery galleryid-176 gallery-columns-3 gallery-size-thumbnail'><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161010_153602-1280x720\/'><img decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161010_153602-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161010_153613-1280x720\/'><img decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161010_153613-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161010_153626-1280x720\/'><img decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161010_153626-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161010_153716-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161010_153716-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" aria-describedby=\"gallery-1-180\" \/><\/a>\n\t\t\t<\/dt>\n\t\t\t\t<dd class='wp-caption-text gallery-caption' id='gallery-1-180'>\n\t\t\t\tDans les couloirs !\n\t\t\t\t<\/dd><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161010_153727-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161010_153727-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" 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\/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161011_124207-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161011_124207-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161011_124229-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161011_124229-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><br 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class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161011_130113-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161011_130113-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161011_152609-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161011_152609-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_110733-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_110733-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_110939-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_110939-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_110945-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_110945-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_111224-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_111224-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_113408-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_113408-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_113526-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_113526-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_113714-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_113714-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/ee.mlfmonde.org\/wuhan-renault\/des-triangles-et-encore-des-triangles\/20161013_115436-1280x720\/'><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"150\" src=\"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-content\/uploads\/sites\/12\/2016\/10\/20161013_115436-1280x720-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/>\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Le triangle de Sierpi\u0144ski est une fractale \u00e0 base de triangles imbriqu\u00e9s et pouvant se r\u00e9p\u00e9ter ind\u00e9finiment. Les \u00e9l\u00e8ves de coll\u00e8ge ont chacun compos\u00e9 une partie d&rsquo;un plus grand triangle, devenu \u0153uvre collective. La figure compos\u00e9e peut donner \u00e0 de multiples exercices de calcul : le nombre total de triangles, le nombre de triangles color\u00e9s, [&hellip;]<\/p>\n","protected":false},"author":93,"featured_media":178,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[11,1],"tags":[],"class_list":{"0":"post-176","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-2016-2017","8":"category-uncategorized","9":"czr-hentry"},"acf":[],"_links":{"self":[{"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/posts\/176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/users\/93"}],"replies":[{"embeddable":true,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/comments?post=176"}],"version-history":[{"count":2,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/posts\/176\/revisions"}],"predecessor-version":[{"id":199,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/posts\/176\/revisions\/199"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/media\/178"}],"wp:attachment":[{"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/media?parent=176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/categories?post=176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ee.mlfmonde.org\/wuhan-renault\/wp-json\/wp\/v2\/tags?post=176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}