{"id":3925,"date":"2018-11-03T18:52:22","date_gmt":"2018-11-03T22:52:22","guid":{"rendered":"\/pole-maths\/?p=3925"},"modified":"2019-01-20T19:13:27","modified_gmt":"2019-01-20T23:13:27","slug":"ce1-a-c3-materiel-systeme-decimal-sur-les-entiers-contexte-aire","status":"publish","type":"post","link":"https:\/\/site.ac-martinique.fr\/pole-maths\/?p=3925","title":{"rendered":"CE1 au Cycle 3: Mat\u00e9riel syst\u00e8me d\u00e9cimal sur les entiers (contexte aire)"},"content":{"rendered":"<p style=\"text-align: justify\"><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3927 size-thumbnail\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-150x88.jpg\" alt=\"\" width=\"150\" height=\"88\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-150x88.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-300x176.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-768x450.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-1024x600.jpg 1024w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854.jpg 1500w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><strong>CE1 au Cycle 3 : La mission math\u00e9matiques vous propose un mat\u00e9riel de manipulation pour construire le syst\u00e8me d\u00e9cimal sur les entiers en \u00e9tablissant le lien entre les diff\u00e9rentes \u00e9critures et les quantit\u00e9s qu&rsquo;elles repr\u00e9sentent.\u00a0La notion de quantit\u00e9 prend appui sur la place occup\u00e9e dans le plan.\u00a0\u00a0<\/strong><\/p>\n<p><!--more--><\/p>\n<p><b><u>Le mat\u00e9riel de manipulation sur les entiers CE1 au Cycle 3 (contexte aire)<\/u><\/b><\/p>\n<p style=\"text-align: justify\"><strong>Objectifs pour l\u2019\u00e9l\u00e8ve<\/strong> : \u00ab\u00a0Donner du sens diff\u00e9rentes \u00e9critures des entiers (en mots ou en \u00e9critures symboliques), comprendre les \u00e9quivalences d\u2019\u00e9critures, consolider le sens de\u00a0 \u00ab dizaine \u00bb, \u00ab centaine \u00bb et \u00ab\u00a0millier\u00a0\u00bb en prenant appui sur la quantit\u00e9 qu\u2019elles repr\u00e9sentent\u00a0\u00bb.<\/p>\n<p style=\"text-align: justify\">L&rsquo;exemple ci-dessous montre que <strong>diff\u00e9rentes \u00e9critures peuvent repr\u00e9senter une m\u00eame quantit\u00e9.<\/strong> L&rsquo;occupation dans le plan est identique, seule la repr\u00e9sentation change.<\/p>\n<p>&lsquo;<br \/>\n<a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3938 alignnone\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-253x300.jpg\" alt=\"\" width=\"253\" height=\"300\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-253x300.jpg 253w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-126x150.jpg 126w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-768x911.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-863x1024.jpg 863w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254.jpg 1440w\" sizes=\"auto, (max-width: 253px) 100vw, 253px\" \/><\/a>\u00a0 \u00a0 \u00a0\u00a0<a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3935 alignnone\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u-264x300.jpg\" alt=\"\" width=\"264\" height=\"300\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u-264x300.jpg 264w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u-132x150.jpg 132w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u-768x872.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u-902x1024.jpg 902w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1m-25-d-4-u.jpg 1424w\" sizes=\"auto, (max-width: 264px) 100vw, 264px\" \/><\/a><\/p>\n<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3937 alignnone\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u-256x300.jpg\" alt=\"\" width=\"256\" height=\"300\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u-256x300.jpg 256w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u-128x150.jpg 128w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u-768x901.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u-873x1024.jpg 873w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/125-d-4-u.jpg 1440w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/a>\u00a0 \u00a0<a href=\"\/pole-maths\/?p=3931\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3938 alignnone\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-253x300.jpg\" alt=\"\" width=\"253\" height=\"300\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-253x300.jpg 253w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-126x150.jpg 126w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-768x911.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254-863x1024.jpg 863w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/1254.jpg 1440w\" sizes=\"auto, (max-width: 253px) 100vw, 253px\" \/><\/a><\/p>\n<p style=\"text-align: justify\"><strong>En cycle 3, ils utiliseront ce m\u00eame mat\u00e9riel mais en changeant l&rsquo;unit\u00e9, ils pourront aborder les fractions d\u00e9cimales et les d\u00e9cimaux (<a href=\"\/pole-maths\/?p=3931\" target=\"_blank\" rel=\"noopener noreferrer\">voir l&rsquo;article correspondant<\/a>).\u00a0<\/strong><\/p>\n<p style=\"text-align: justify\"><strong>Du CE1 au Cycle 3 , le m\u00eame type de mat\u00e9riel est propos\u00e9 dans un contexte de volume (<a href=\"\/pole-maths\/?p=3961\" target=\"_blank\" rel=\"noopener noreferrer\">voir l&rsquo;article correspondant<\/a>)<\/strong><\/p>\n<p style=\"text-align: justify\">Nous conseillons aux enseignant(e)s de <strong>plastifier<\/strong> les pages avant la d\u00e9coupe pour une utilisation de longue dur\u00e9e si c\u2019est possible ou\u00a0 d&rsquo;utiliser du <strong>papier cartonn\u00e9<\/strong>.<\/p>\n<p style=\"text-align: justify\">Nous pensons que <strong>la pr\u00e9sentation des situations et\u00a0 les mises en commun<\/strong> seront facilit\u00e9es si l&rsquo;\u00e9cole dispose du <strong>mat\u00e9riel en plus grande dimension<\/strong>. Pour cela, il suffira d&rsquo;agrandir le document t\u00e9l\u00e9chargeable ci-dessous en <strong>A3<\/strong>.\u00a0Si la classe a la chance de disposer d&rsquo;un tableau aimant\u00e9, coller de l&rsquo;adh\u00e9sif aimant\u00e9 (vendu en ruban) au verso de la version enseignant\u00a0 ce qui permettra des manipulations ais\u00e9es.<\/p>\n<p><strong>Pour t\u00e9l\u00e9charger le fichier, cliquer sur l&rsquo;image ci-dessous.<\/strong><\/p>\n<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/01\/CE1-\u00e0-CM2_entiers_mat\u00e9riel_syst\u00e8me_d\u00e9cimal_janvier-19.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3927 size-large\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-1024x600.jpg\" alt=\"\" width=\"640\" height=\"375\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-1024x600.jpg 1024w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-150x88.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-300x176.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854-768x450.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2018\/11\/mat\u00e9riel-syst-decimal-entiers-min-e1541279116854.jpg 1500w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CE1 au Cycle 3 : La mission math\u00e9matiques vous propose un mat\u00e9riel de manipulation pour construire le syst\u00e8me d\u00e9cimal sur les entiers en \u00e9tablissant le lien entre les diff\u00e9rentes \u00e9critures et les quantit\u00e9s qu&rsquo;elles repr\u00e9sentent.\u00a0La notion de quantit\u00e9 prend appui&#8230; <a class=\"more-link\" href=\"https:\/\/site.ac-martinique.fr\/pole-maths\/?p=3925\">Continue Reading &rarr;<\/a><\/p>\n","protected":false},"author":83,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,48,45,41,1,31],"tags":[],"class_list":["post-3925","post","type-post","status-publish","format-standard","hentry","category-cycle2","category-cycle3","category-cycles","category-nombresetcalcul","category-non-classe","category-outils"],"_links":{"self":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/3925","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/users\/83"}],"replies":[{"embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3925"}],"version-history":[{"count":21,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/3925\/revisions"}],"predecessor-version":[{"id":4029,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/3925\/revisions\/4029"}],"wp:attachment":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}