{"id":419,"date":"2022-11-11T21:09:43","date_gmt":"2022-11-11T20:09:43","guid":{"rendered":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/?p=419"},"modified":"2022-11-11T21:10:19","modified_gmt":"2022-11-11T20:10:19","slug":"la-folie-des-grandeurs-probleme-collectif-pour-la-semaine-des-mathematiques","status":"publish","type":"post","link":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/la-folie-des-grandeurs-probleme-collectif-pour-la-semaine-des-mathematiques\/","title":{"rendered":"\u00ab La folie des grandeurs &#8230; \u00bb, probl\u00e8me collectif pour la semaine des math\u00e9matiques"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><strong>Le principe :<\/strong><\/h2>\n\n\n\n<p>Se lancer collectivement dans la r\u00e9solution d&rsquo;un probl\u00e8me&#8230; ; rien de tr\u00e8s original ! Toutefois,&nbsp;<em><strong>\u00ab\u00a0la folie des grandeurs\u00a0\u00bb<\/strong><\/em>&nbsp;pr\u00e9sente bien quelques particularit\u00e9s :<\/p>\n\n\n\n<p>\u00ab Quel nombre de fruits sont-ils pr\u00eats \u00e0 presser pour remplir une piscine olympique ? \u00bb<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Le probl\u00e8me pos\u00e9 ne poss\u00e8de pas de solution unique !<\/strong>&nbsp;La solution trouv\u00e9e d\u00e9pendra des hypoth\u00e8ses que les \u00e9l\u00e8ves formuleront, des approximations \u00e9tablies, des ordres de grandeurs choisis, des d\u00e9marches suivies. L&rsquo;important r\u00e9side dans la strat\u00e9gie collective et la collaboration.<\/li>\n\n\n\n<li><strong>Tous les \u00e9l\u00e8ves travaillent sur le m\u00eame support !<\/strong>&nbsp;Une grande nappe en papier, d\u00e9roul\u00e9e \u00e0 m\u00eame le sol, offre \u00e0 chacun un espace de travail \u00e0 la fois personnel et partag\u00e9. La configuration facilite les \u00e9changes et permet \u00e0 chacun de s&rsquo;inspirer de la recherche du voisin, d&rsquo;exploiter ses r\u00e9sultats, ou de lui venir en aide.<\/li>\n\n\n\n<li><strong>Une fresque math\u00e9matique&#8230;<\/strong>&nbsp;Au fur et \u00e0 mesure de la recherche, la nappe se couvre de sch\u00e9mas, de tableaux, de formules, de calculs, pour former une fresque color\u00e9e, trace de toutes les \u00e9tapes de la recherche, des essais, des erreurs, et des d\u00e9couvertes&#8230;<\/li>\n<\/ul>\n\n\n\n<style>\n       .errordiv { padding:10px; margin:10px; border: 1px solid #555555;color: #000000;background-color: #f8f8f8; width:500px; }#advanced_iframe {visibility:visible;opacity:1;vertical-align:top;}.ai-info-bottom-iframe { position: fixed; z-index: 10000; bottom:0; left: 0; margin: 0px; text-align: center; width: 100%; background-color: #ff9999; padding-left: 5px;padding-bottom: 5px; border-top: 1px solid #aaa } a.ai-bold {font-weight: bold;}#ai-layer-div-advanced_iframe p {height:100%;margin:0;padding:0}<\/style><script type=\"text\/javascript\">var ai_iframe_width_advanced_iframe = 0;var ai_iframe_height_advanced_iframe = 0;var aiOnloadScrollTop=\"true\";var aiShowDebug=false;\n\t\tif (typeof aiReadyCallbacks === 'undefined') {\n\t\t\tvar aiReadyCallbacks = [];\n\t\t} else if (!(aiReadyCallbacks instanceof Array)) {\n\t\t\tvar aiReadyCallbacks = [];\n\t\t}    function aiShowIframeId(id_iframe) { jQuery(\"#\"+id_iframe).css(\"visibility\", \"visible\");    }    function aiResizeIframeHeight(height) { aiResizeIframeHeight(height,advanced_iframe); }    function aiResizeIframeHeightId(height,width,id) {aiResizeIframeHeightById(id,height);}<\/script><iframe id=\"advanced_iframe\"  name=\"advanced_iframe\"  src=\"https:\/\/ladigitale.dev\/digiplay\/#\/v\/636eab335115b\"  width=\"100%\"  height=\"600\"  frameborder=\"0\"  border=\"0\"  allowtransparency=\"true\"  loading=\"lazy\"  style=\";border-width: 0px;;border: none;;width:100%;;height:600px;\" ><\/iframe><script type=\"text\/javascript\">var ifrm_advanced_iframe = document.getElementById(\"advanced_iframe\");var hiddenTabsDoneadvanced_iframe = false;\nfunction resizeCallbackadvanced_iframe() {}<\/script><script type=\"text\/javascript\"><\/script><p style=\"display:block !important; visibility:visible !important;margin: -18px 14px 0 0;padding-left: 3px;padding-top:3px;background: white; overflow: hidden; position: relative; line-height:15px;width: fit-content;\"><small style=\"display:block !important;visibility:visible !important\">powered by Advanced iFrame<\/small><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Le mat\u00e9riel<\/strong><strong>&nbsp;:<\/strong><\/h2>\n\n\n\n<p>Pour r\u00e9aliser l&rsquo;exp\u00e9rience&nbsp;<em><strong>\u00ab\u00a0folie des grandeurs\u00a0\u00bb<\/strong><\/em>, vous avez besoin :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>d&rsquo;une&nbsp;<strong>nappe en papier blanche en rouleau<\/strong><\/li>\n\n\n\n<li>d&rsquo;une&nbsp;<strong>bo\u00eete de stylos feutres<\/strong>&nbsp;de toutes les couleurs (pointe \u00e9paisse)<\/li>\n\n\n\n<li>d&rsquo;une salle de classe avec&nbsp;<strong>un espace lib\u00e9r\u00e9 au sol<\/strong>&nbsp;(poussez les chaises et les tables !)<\/li>\n\n\n\n<li>d&rsquo;un&nbsp;<strong>groupe d&rsquo;\u00e9l\u00e8ves<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>&#8230;<strong>et c&rsquo;est tout !<\/strong>&nbsp;L&rsquo;id\u00e9e \u00e9tant de tout partager et de tout rendre visible, on limitera au maximum l&rsquo;usage des outils num\u00e9riques (calculette, smartphone, ordinateur, Internet&#8230;). Pas de gomme, pas de brouillon ; m\u00eame les calculs seront pos\u00e9s sur la nappe !<\/p>\n\n\n\n<p>Il vous manque une connaissance ? Demandez autour de vous, d\u00e9battez et choisissez ensemble une hypoth\u00e8se&#8230;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>A la fin &#8230;<\/strong><\/h2>\n\n\n\n<p>A l&rsquo;issue de la recherche, vous devez obtenir :<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>un r\u00e9sultat<\/strong>, une solution pr\u00e9sent\u00e9e sous la forme d&rsquo;un ordre de grandeur plus ou moins pr\u00e9cis,<\/li>\n\n\n\n<li><strong>une fresque<\/strong>&nbsp;math\u00e9matique et color\u00e9e.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Calendrier<\/strong><\/h2>\n\n\n\n<p>L&rsquo;action peut \u00eatre d\u00e9clench\u00e9e&nbsp;<strong>d\u00e8s la rentr\u00e9e de septembre<\/strong>, et jusque la semaine des math\u00e9matiques. L&rsquo;enseignant dispose d&rsquo;un libert\u00e9 d&rsquo;action sur la date et le choix des \u00e9l\u00e8ves. Il peut ainsi b\u00e9n\u00e9ficier des opportunit\u00e9s qui lui sembleront propices (pr\u00e9-rentr\u00e9e, atelier, travail de groupe, int\u00e9gration dans la progression, &#8230;ou veille de vacances !)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Parmi les assoiff\u00e9s de math\u00e9matiques :<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-pullquote\"><blockquote><p>le coll\u00e8ge Jacques Pr\u00e9vert de Watten, le Lyc\u00e9e Baudimond Saint-Charles d&rsquo;Arras, le coll\u00e8ge Saint-Odile de Lambersart, le lyc\u00e9e Coubertin de Calais, le lyc\u00e9e Don Bosco de Gu\u00eenes&#8230;<\/p><\/blockquote><\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"449\" data-id=\"420\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i8.jpg\" alt=\"\" class=\"wp-image-420\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i8.jpg 800w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i8-300x168.jpg 300w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i8-768x431.jpg 768w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i8-528x297.jpg 528w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"600\" data-id=\"424\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i7.jpg\" alt=\"\" class=\"wp-image-424\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i7.jpg 800w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i7-300x225.jpg 300w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i7-768x576.jpg 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"600\" data-id=\"422\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i5.jpg\" alt=\"\" class=\"wp-image-422\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i5.jpg 338w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i5-169x300.jpg 169w\" sizes=\"auto, (max-width: 338px) 100vw, 338px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"600\" data-id=\"425\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i6.jpeg\" alt=\"\" class=\"wp-image-425\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i6.jpeg 800w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i6-300x225.jpeg 300w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i6-768x576.jpeg 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"449\" data-id=\"421\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i4-1.jpg\" alt=\"\" class=\"wp-image-421\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i4-1.jpg 800w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i4-1-300x168.jpg 300w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i4-1-768x431.jpg 768w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i4-1-528x297.jpg 528w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"800\" data-id=\"423\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i3-1.jpg\" alt=\"\" class=\"wp-image-423\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i3-1.jpg 450w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i3-1-169x300.jpg 169w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"484\" height=\"860\" data-id=\"426\" src=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i1-5.jpg\" alt=\"\" class=\"wp-image-426\" srcset=\"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i1-5.jpg 484w, https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-content\/uploads\/sites\/51\/2022\/11\/i1-5-169x300.jpg 169w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Le principe : Se lancer collectivement dans la r\u00e9solution d&rsquo;un probl\u00e8me&#8230; ; rien de tr\u00e8s original ! Toutefois,&nbsp;\u00ab\u00a0la folie des grandeurs\u00a0\u00bb&nbsp;pr\u00e9sente bien quelques particularit\u00e9s : \u00ab Quel nombre de fruits sont-ils pr\u00eats \u00e0 presser pour remplir une piscine olympique ? \u00bb Le mat\u00e9riel&nbsp;: Pour r\u00e9aliser l&rsquo;exp\u00e9rience&nbsp;\u00ab\u00a0folie des grandeurs\u00a0\u00bb, vous avez besoin : &#8230;et c&rsquo;est tout [&hellip;]<\/p>\n","protected":false},"author":117,"featured_media":426,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[20],"tags":[],"class_list":{"0":"post-419","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-valorisation-dactions-dans-lacademie","8":"czr-hentry"},"publishpress_future_action":{"enabled":false,"date":"2026-04-29 23:52:40","action":"change-status","newStatus":"draft","terms":[],"taxonomy":"category","extraData":[]},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/419","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/users\/117"}],"replies":[{"embeddable":true,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/comments?post=419"}],"version-history":[{"count":2,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/419\/revisions"}],"predecessor-version":[{"id":428,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/419\/revisions\/428"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/media\/426"}],"wp:attachment":[{"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/media?parent=419"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/categories?post=419"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pedagogie.ac-lille.fr\/mathematiques\/wp-json\/wp\/v2\/tags?post=419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}