{"id":3428,"date":"2023-12-01T19:55:55","date_gmt":"2023-12-01T18:55:55","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3428"},"modified":"2026-04-27T12:44:44","modified_gmt":"2026-04-27T10:44:44","slug":"les-nombres-trapezoidaux-2","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=3428","title":{"rendered":"Les nombres trap\u00e9zo\u00efdaux"},"content":{"rendered":"\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/\">Accueil<\/a> \u00bb <a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3328\">Ressources p\u00e9dagogiques<\/a> \u00bb <a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=77\">Des exemples de SDRP<\/a> \u00bb Les nombres trap\u00e9zo\u00efdaux<\/p>\r\n<h1>L&rsquo;\u00e9nonc\u00e9 de la situation<\/h1>\r\n<p><strong>\u00c9nonc\u00e9 1<\/strong> : Trouver tous les nombres entiers qui sont la somme d&rsquo;au moins deux nombres entiers naturels cons\u00e9cutifs.<\/p>\r\n<p><strong>\u00c9nonc\u00e9 2<\/strong> : Trouver tous les nombres entiers qui sont la somme de nombres entiers naturels cons\u00e9cutifs.<\/p>\r\n<p><em>(voir l&rsquo;analyse didactique \u00e0 propos de ces \u00e9nonc\u00e9s)<\/em><\/p>\r\n<p>Vid\u00e9o en construction<\/p>\r\n<h1>Les math\u00e9matiques en jeu<\/h1>\r\n<ul>\r\n<li>Manipulation des nombres, des diviseurs, des multiples, des puissances d&rsquo;un nombre<\/li>\r\n<li>Ecriture alg\u00e9brique des nombres impairs, pairs,<\/li>\r\n<li>Manipulation des congruences, en acte pour les plus petits avec les restes dans la division euclidienne, formellement pour les plus grands.<\/li>\r\n<li>Somme des entiers naturels cons\u00e9cutifs, les suites arithm\u00e9tiques, les nombres triangulaires.<\/li>\r\n<li>Notion d&rsquo;algorithme est aussi une connaissance envisageable dans ce probl\u00e8me.<\/li>\r\n<\/ul>\r\n<h4>Analyse math\u00e9matique<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/06\/NombreTrapezoidaux_Analyse_Maths_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h4>Analyse didactique<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/06\/NombreTrapezoidaux_Analyse_didactique_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h4>Exemples de mise en \u0153uvre<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/06\/NombreTrapezoidaux_Mise_en_oeuvre_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h4>Pour aller plus loin<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/06\/NombreTrapezoidaux_Aller_Plus_Loin_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h2>Retours d&rsquo;exp\u00e9riences<\/h2>\r\n<p>Des retours d&rsquo;exp\u00e9riences partag\u00e9s par les enseignant.e.s du groupe d&rsquo;exp\u00e9rimentation qui ont mis en place ce probl\u00e8me dans le cadre d&rsquo;un enseignement fond\u00e9 sur les probl\u00e8mes<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>Trouver tous les nombres entiers qui sont la somme d&rsquo;au moins deux nombres entiers naturels cons\u00e9cutifs<\/p>\n","protected":false},"author":3,"featured_media":2918,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[106],"tags":[],"niveau":[113,114],"type_situation":[115],"theme_maths":[118],"probleme_associe":[],"type-expe":[],"class_list":{"0":"post-3428","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-sdrp","8":"niveau-cycle-4","9":"niveau-lycee","10":"type_situation-sdrp","11":"theme_maths-nombres-et-calculs","12":"czr-hentry"},"rttpg_featured_image_url":{"full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"landscape":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"portraits":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"thumbnail":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT-150x150.png",150,150,true],"medium":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT-291x300.png",291,300,true],"large":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"1536x1536":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"2048x2048":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"tc-grid-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"tc-grid":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"tc-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT-270x250.png",270,250,true],"slider-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"slider":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"tc-sq-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"tc-ws-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT.png",340,350,false],"tc-ws-small-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT-340x297.png",340,297,true],"tc-slider-small":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/12\/NT-340x235.png",340,235,true]},"rttpg_author":{"display_name":"St\u00e9phanie CROQUELOIS","author_link":"https:\/\/math.univ-lyon1.fr\/dream\/?author=3"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?cat=106\" rel=\"category\">SDRP<\/a>","rttpg_excerpt":"Trouver tous les nombres entiers qui sont la somme d'au moins deux nombres entiers naturels cons\u00e9cutifs","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3428","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3428"}],"version-history":[{"count":7,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3428\/revisions"}],"predecessor-version":[{"id":3766,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3428\/revisions\/3766"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/media\/2918"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3428"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3428"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3428"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=3428"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=3428"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=3428"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=3428"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=3428"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}