{"id":2391,"date":"2026-09-13T15:59:36","date_gmt":"2026-09-13T11:59:36","guid":{"rendered":"https:\/\/iremi.univ-reunion.fr\/?p=2391"},"modified":"2026-09-13T16:02:04","modified_gmt":"2026-09-13T12:02:04","slug":"fichier-resolution-de-problemes-au-cycle-3","status":"publish","type":"post","link":"https:\/\/iremi.univ-reunion.fr\/?p=2391","title":{"rendered":"Fichier r\u00e9solution de probl\u00e8mes au cycle 3"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong><em>L&rsquo;atelier \u00ab R\u00e9solution de probl\u00e8mes au cycle 3 \u00bb de l&rsquo;IREMI publie son fichier : douze missions organis\u00e9es par type de probl\u00e8me, une m\u00e9thode en six \u00e9tapes et des \u00e9nonc\u00e9s ancr\u00e9s \u00e0 La R\u00e9union. <\/em><\/strong><\/p>\n\n\n\n<figure data-wp-context=\"{&quot;galleryId&quot;:&quot;6aa76066dbf02&quot;}\" data-wp-interactive=\"core\/gallery\" 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 data-wp-context=\"{&quot;imageId&quot;:&quot;6aa76066de4b9&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6aa76066de4b9\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"714\" height=\"1024\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on--pointerdown=\"actions.preloadImage\" data-wp-on--pointerenter=\"actions.preloadImageWithDelay\" data-wp-on--pointerleave=\"actions.cancelPreload\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"2399\" src=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31-714x1024.png\" alt=\"\" class=\"wp-image-2399\" srcset=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31-714x1024.png 714w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31-209x300.png 209w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31-768x1102.png 768w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31-1071x1536.png 1071w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31-1428x2048.png 1428w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C31.png 1744w\" sizes=\"auto, (max-width: 714px) 100vw, 714px\" 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wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"701\" height=\"1024\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on--pointerdown=\"actions.preloadImage\" data-wp-on--pointerenter=\"actions.preloadImageWithDelay\" data-wp-on--pointerleave=\"actions.cancelPreload\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"2396\" src=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34-701x1024.png\" alt=\"\" class=\"wp-image-2396\" srcset=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34-701x1024.png 701w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34-205x300.png 205w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34-767x1121.png 767w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34-1052x1536.png 1052w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34-1402x2048.png 1402w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C34.png 1702w\" sizes=\"auto, (max-width: 701px) 100vw, 701px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\tdata-wp-bind--aria-label=\"state.thisImage.triggerButtonAriaLabel\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.thisImage.buttonRight\"\n\t\t\tdata-wp-style--top=\"state.thisImage.buttonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n\n\n\n<figure data-wp-context=\"{&quot;imageId&quot;:&quot;6aa76066def61&quot;}\" data-wp-interactive=\"core\/image\" data-wp-key=\"6aa76066def61\" class=\"wp-block-image size-large wp-lightbox-container\"><img loading=\"lazy\" decoding=\"async\" width=\"721\" height=\"1024\" data-wp-class--hide=\"state.isContentHidden\" data-wp-class--show=\"state.isContentVisible\" data-wp-init=\"callbacks.setButtonStyles\" data-wp-on--click=\"actions.showLightbox\" data-wp-on--load=\"callbacks.setButtonStyles\" data-wp-on--pointerdown=\"actions.preloadImage\" data-wp-on--pointerenter=\"actions.preloadImageWithDelay\" data-wp-on--pointerleave=\"actions.cancelPreload\" data-wp-on-window--resize=\"callbacks.setButtonStyles\" data-id=\"2397\" src=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32-721x1024.png\" alt=\"\" class=\"wp-image-2397\" srcset=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32-721x1024.png 721w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32-211x300.png 211w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32-768x1091.png 768w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32-1081x1536.png 1081w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32-1441x2048.png 1441w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/IREMI.RDP_.C32.png 1748w\" sizes=\"auto, (max-width: 721px) 100vw, 721px\" \/><button\n\t\t\tclass=\"lightbox-trigger\"\n\t\t\ttype=\"button\"\n\t\t\taria-haspopup=\"dialog\"\n\t\t\tdata-wp-bind--aria-label=\"state.thisImage.triggerButtonAriaLabel\"\n\t\t\tdata-wp-init=\"callbacks.initTriggerButton\"\n\t\t\tdata-wp-on--click=\"actions.showLightbox\"\n\t\t\tdata-wp-style--right=\"state.thisImage.buttonRight\"\n\t\t\tdata-wp-style--top=\"state.thisImage.buttonTop\"\n\t\t>\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"12\" height=\"12\" fill=\"none\" viewBox=\"0 0 12 12\">\n\t\t\t\t<path fill=\"#fff\" d=\"M2 0a2 2 0 0 0-2 2v2h1.5V2a.5.5 0 0 1 .5-.5h2V0H2Zm2 10.5H2a.5.5 0 0 1-.5-.5V8H0v2a2 2 0 0 0 2 2h2v-1.5ZM8 12v-1.5h2a.5.5 0 0 0 .5-.5V8H12v2a2 2 0 0 1-2 2H8Zm2-12a2 2 0 0 1 2 2v2h-1.5V2a.5.5 0 0 0-.5-.5H8V0h2Z\" \/>\n\t\t\t<\/svg>\n\t\t<\/button><\/figure>\n<\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Classer les probl\u00e8mes par structure, pas par op\u00e9ration<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Ce n&rsquo;est presque jamais le calcul qui bloque un \u00e9l\u00e8ve de cycle 3. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C&rsquo;est l&rsquo;\u00e9tape d&rsquo;avant : comprendre de quoi parle l&rsquo;\u00e9nonc\u00e9, se repr\u00e9senter la situation, d\u00e9cider quelle op\u00e9ration elle appelle. <br>Le fichier organise le travail par\u00a0<strong>type de probl\u00e8me<\/strong>\u00a0:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Missions 1 \u00e0 4<\/strong>&nbsp;\u2014 les quatre structures fondamentales : partie \/ tout additif, partie \/ tout multiplicatif, comparaison additive, comparaison multiplicative.<\/li>\n\n\n\n<li><strong>Mission 5<\/strong>\u00a0\u2014 mixte : les structures sont m\u00e9lang\u00e9es, et l&rsquo;\u00e9l\u00e8ve doit d&rsquo;abord\u00a0reconna\u00eetre\u00a0\u00e0 quel type il a affaire.<\/li>\n\n\n\n<li><strong>Missions 6 \u00e0 12<\/strong>&nbsp;\u2014 proportionnalit\u00e9, dur\u00e9es, d\u00e9nombrement, division euclidienne, fractions, balances, alg\u00e8bre.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Cet ordre casse une erreur tenace : tant qu&rsquo;il travaille \u00e0 l&rsquo;int\u00e9rieur du chapitre \u00ab addition \u00bb, l&rsquo;\u00e9l\u00e8ve additionne sans r\u00e9fl\u00e9chir. <br>Les deux derni\u00e8res missions pr\u00e9parent explicitement l&rsquo;entr\u00e9e en sixi\u00e8me. En tout,\u00a0<strong>94 \u00e9nonc\u00e9s<\/strong>\u00a0sur 16 pages A4.<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Un probl\u00e8me type par mission<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Chaque mission s&rsquo;ouvre sur un probl\u00e8me type enti\u00e8rement r\u00e9solu, con\u00e7u pour \u00eatre explicit\u00e9 au tableau. Ce n&rsquo;est pas un corrig\u00e9, c&rsquo;est une d\u00e9monstration de la d\u00e9marche : le sch\u00e9ma en barres est construit, le calcul pos\u00e9, la v\u00e9rification faite, la phrase r\u00e9ponse r\u00e9dig\u00e9e \u2014 et chaque geste porte la pastille de la comp\u00e9tence qu&rsquo;il mobilise. Les six comp\u00e9tences du programme (chercher, repr\u00e9senter, mod\u00e9liser, calculer, raisonner, communiquer) sont ainsi traduites en une m\u00e9thode en six \u00e9tapes, formul\u00e9e du point de vue de l&rsquo;\u00e9l\u00e8ve.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ces probl\u00e8mes types sont repris du\u00a0<a href=\"https:\/\/iremi.univ-reunion.fr\/?p=1310\" target=\"_blank\" rel=\"noopener\">Guide de survie en math\u00e9matiques cycle 3<\/a>\u00a0: chaque mission affiche sa r\u00e9f\u00e9rence (\u00ab GS 26.2 \u00bb) et un QR code qui y renvoie. S&rsquo;y ajoutent deux sch\u00e9mas de synth\u00e8se \u2014\u00a0<strong>partie \/ tout<\/strong>\u00a0et\u00a0<strong>comparaison<\/strong>\u00a0\u2014 qui permettent de d\u00e9duire l&rsquo;op\u00e9ration plut\u00f4t que de la deviner, et une planche m\u00e9mo en derni\u00e8re page. Les ritualiser est sans doute le meilleur usage que l&rsquo;on puisse faire du fichier.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Une progressivit\u00e9 qui se lit d&rsquo;un coup d&rsquo;\u0153il<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Dans chaque mission, les \u00e9nonc\u00e9s vont du plus simple au plus difficile, et cette progressivit\u00e9 est mat\u00e9rialis\u00e9e par la\u00a0couleur du num\u00e9ro\u00a0: fond blanc pour l&rsquo;\u00e9chauffement, gris pour l&rsquo;entra\u00eenement, fonc\u00e9 pour les probl\u00e8mes experts (42, 32 et 20 \u00e9nonc\u00e9s respectivement). Tous les \u00e9l\u00e8ves ont la m\u00eame page sous les yeux, mais chacun sait o\u00f9 il en est : la diff\u00e9renciation devient imm\u00e9diate, et discr\u00e8te.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Enfin, 26 \u00e9nonc\u00e9s sur 94 s&rsquo;ancrent dans un environnement familier \u2014 le Grand Raid, le Car Jaune, le march\u00e9 forain de Saint-Paul, une randonn\u00e9e vers Mafate, des gousses de vanille, un g\u00e2teau patate \u00e0 partager. Le contexte n&rsquo;est pas un habillage : il fait une partie du travail de repr\u00e9sentation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/LIVRET.RDP_.C3.pdf\" type=\"application\/pdf\" style=\"width:100%;height:950px\" aria-label=\"Contenu embarqu\u00e9 LIVRET.RDP.C3.\"><\/object><a id=\"wp-block-file--media-43ae89c7-00ca-45b4-ba92-27e95b641cd0\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/LIVRET.RDP_.C3.pdf\">LIVRET.RDP.C3<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2026\/09\/LIVRET.RDP_.C3.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-43ae89c7-00ca-45b4-ba92-27e95b641cd0\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Karim Bouasla, Pascal Dorr<\/em><br><em>Atelier \u00ab R\u00e9solution de probl\u00e8mes au cycle 3 \u00bb<\/em><br><em><a href=\"https:\/\/iremi.univ-reunion.fr\/\" data-type=\"link\" data-id=\"https:\/\/iremi.univ-reunion.fr\/\"> IREMI La R\u00e9union <\/a>\/\u00a0<a href=\"https:\/\/www.maths974.fr\/\">Maths974.fr<\/a><\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>L&rsquo;atelier \u00ab R\u00e9solution de probl\u00e8mes au cycle 3 \u00bb de l&rsquo;IREMI publie son fichier : douze missions organis\u00e9es par type de probl\u00e8me, une m\u00e9thode en six \u00e9tapes et des \u00e9nonc\u00e9s ancr\u00e9s \u00e0 La R\u00e9union. Classer les probl\u00e8mes par structure, pas par op\u00e9ration Ce n&rsquo;est presque jamais le calcul qui bloque un \u00e9l\u00e8ve de cycle 3. [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,6],"tags":[51,30,52],"coauthors":[45],"class_list":["post-2391","post","type-post","status-publish","format-standard","hentry","category-contextualiser-les-apprentissages","category-continuum-des-apprentissages","tag-automatismes","tag-cycle-3","tag-resolution-de-problemes"],"_links":{"self":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/2391","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2391"}],"version-history":[{"count":3,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/2391\/revisions"}],"predecessor-version":[{"id":2402,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/2391\/revisions\/2402"}],"wp:attachment":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2391"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcoauthors&post=2391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}