{"id":2627,"date":"2023-02-09T11:57:41","date_gmt":"2023-02-09T10:57:41","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=2627"},"modified":"2025-12-05T12:31:02","modified_gmt":"2025-12-05T11:31:02","slug":"la-croix-grecque","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=2627","title":{"rendered":"La croix grecque"},"content":{"rendered":"\n<h2>\n\t\t\t\u00c9nonc\u00e9 du probl\u00e8me\t<\/h2>\n\t<p>Comment d\u00e9couper la croix grecque suivante en deux, puis trois, puis quatre, puis cinq parties de m\u00eame aire, puis en 6, en 7, en 8. . .et en 100 ?<\/p>\n<p>Et en n parties ?<\/p>\n\t\t\t\t<img decoding=\"async\" src=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png\" alt=\"DREAM_NR_LACROIXGRECQUE_IllustrationEnonc\u00e9\" itemprop=\"image\" height=\"235\" width=\"206\" title=\"DREAM_NR_LACROIXGRECQUE_IllustrationEnonc\u00e9\" onerror=\"this.style.display='none'\" loading=\"lazy\" \/>\n\t\t\t<a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=79\" target=\"_self\">\n\t\t\t\t\t\tRetour Panier \u00e0 probl\u00e8mes\n\t\t\t\t\t<\/a>\n\t<h3>Comp\u00e9tences transversales<\/h3>\n\u2666 R\u00e9aliser, manipuler, mesurer, calculer.<br \/>\n\u2666 Pr\u00e9senter la d\u00e9marche suivie, les r\u00e9sultats obtenus, communiquer \u00e0 l&rsquo;aide d&rsquo;un langage adapt\u00e9.<br \/>\n\u2666 S&rsquo;interroger sur la notion d&rsquo;aire.\n\t<h3>Connaissances math\u00e9matiques<\/h3>\n\u2666\u00a0Travailler sur la sym\u00e9trie et les figures de base (carr\u00e9, rectangle, triangle).<br \/>\n\u2666 Relier les sym\u00e9tries de la figure \u00e0 la notion de multiple (partage en 4, 8, 16 par exemple).<br \/>\n\u2666 Utiliser des calculs, formules, manipulations g\u00e9om\u00e9triques pour comparer des aires.<br \/>\n\u2666 Travailler sur les notions de p\u00e9rim\u00e8tre et d&rsquo;aire, de partage uniforme.<br \/>\n\u2666 Effectuer des calculs d&rsquo;aire ou comparer des aires par des moyens g\u00e9om\u00e9triques.\n\t\t\t<a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/DREAM_NarrationRecherche_Croix_grecque.pdf\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t\tT\u00e9l\u00e9charcher le document complet\n\t\t\t<\/a>\n\n","protected":false},"excerpt":{"rendered":"<p>Comment d\u00e9couper une croix grecque en 2, 3, 4\u2026 jusqu\u2019\u00e0 100 parties de m\u00eame aire\u202f? Peut-on trouver une m\u00e9thode g\u00e9n\u00e9rale pour n\u2019importe quel nombre de parts\u202f?<\/p>\n","protected":false},"author":3,"featured_media":2629,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[107],"tags":[],"niveau":[113,114],"type_situation":[116],"theme_maths":[120,121],"probleme_associe":[],"type-expe":[],"class_list":{"0":"post-2627","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-situation-probleme","8":"niveau-cycle-4","9":"niveau-lycee","10":"type_situation-situation-probleme","11":"theme_maths-espace-et-geometrie","12":"theme_maths-grandeurs-et-mesures","13":"czr-hentry"},"rttpg_featured_image_url":{"full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"landscape":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"portraits":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"thumbnail":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce-150x150.png",150,150,true],"medium":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"large":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"1536x1536":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"2048x2048":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"tc-grid-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"tc-grid":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"tc-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"slider-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce-206x200.png",206,200,true],"slider":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce-206x200.png",206,200,true],"tc-sq-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"tc-ws-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"tc-ws-small-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce.png",206,235,false],"tc-slider-small":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_LACROIXGRECQUE_IllustrationEnonce-206x94.png",206,94,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=107\" rel=\"category\">Situation Probl\u00e8me<\/a>","rttpg_excerpt":"Comment d\u00e9couper une croix grecque en 2, 3, 4\u2026 jusqu\u2019\u00e0 100 parties de m\u00eame aire\u202f? Peut-on trouver une m\u00e9thode g\u00e9n\u00e9rale pour n\u2019importe quel nombre de parts\u202f?","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/2627","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=2627"}],"version-history":[{"count":11,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/2627\/revisions"}],"predecessor-version":[{"id":3803,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/2627\/revisions\/3803"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/media\/2629"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2627"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2627"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2627"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=2627"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=2627"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=2627"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=2627"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=2627"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}