{"id":4183,"date":"2019-03-04T15:27:23","date_gmt":"2019-03-04T19:27:23","guid":{"rendered":"\/pole-maths\/?p=4183"},"modified":"2019-05-17T18:27:33","modified_gmt":"2019-05-17T22:27:33","slug":"parcours-proportionnalite-cycle-3-banque-de-problemes","status":"publish","type":"post","link":"https:\/\/site.ac-martinique.fr\/pole-maths\/?p=4183","title":{"rendered":"Parcours proportionnalit\u00e9 Cycle 3, banque de probl\u00e8mes"},"content":{"rendered":"<p><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/image-parcours1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-4185 size-thumbnail\" style=\"border: 2px solid black\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/image-parcours1-125x150.jpg\" alt=\"\" width=\"125\" height=\"150\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/image-parcours1-125x150.jpg 125w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/image-parcours1-250x300.jpg 250w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/image-parcours1.jpg 622w\" sizes=\"auto, (max-width: 125px) 100vw, 125px\" \/><\/a><strong>Le parcours d&rsquo;apprentissage\u00a0 proportionnalit\u00e9\u00a0 cycle 3 est \u00a0le fruit d&rsquo;un travail collaboratif interdegr\u00e9 entre enseignants\u00a0 de diff\u00e9rents REP+ de l&rsquo;acad\u00e9mie.<\/strong>\u00a0Il est constitu\u00e9 d&rsquo;une banque de probl\u00e8mes r\u00e9partis par niveau et selon les diff\u00e9rentes proc\u00e9dures mises en jeu pour les r\u00e9soudre.<br \/>\n<!--more--><\/p>\n<h3><em>Pour \u00a0avoir une id\u00e9e plus pr\u00e9cise du parcours, cliquez sur les images pour les d\u00e9couvrir en plus grandes dimensions. <strong>En fin d&rsquo;article, un lien vous permet de t\u00e9l\u00e9charger le parcours au format word ou pdf.<\/strong> Ce parcours sera enrichi en cours d&rsquo;ann\u00e9e par d&rsquo;autres probl\u00e8mes issus du travail d&rsquo;autres REP.<\/em><\/h3>\n<h2>\u00a0<strong>\u00a0Le parcours d&rsquo;apprentissage\u00a0 proportionnalit\u00e9 cycle 3<\/strong><\/h2>\n<table style=\"height: 274px;width: 616.805px\">\n<tbody>\n<tr>\n<td style=\"width: 537px\">Proc\u00e9dure multiplicative cycle 2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Proc\u00e9dure de lin\u00e9arit\u00e9 additive<\/td>\n<td style=\"width: 10px\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 537px\"><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/addit.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4191 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/addit-300x234.jpg\" alt=\"\" width=\"227\" height=\"177\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/addit-300x234.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/addit-150x117.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/addit-768x598.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/addit-1024x797.jpg 1024w\" sizes=\"auto, (max-width: 227px) 100vw, 227px\" \/><\/a><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-4188 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/proc\u00e9-multi-300x227.jpg\" alt=\"\" width=\"244\" height=\"185\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/proc\u00e9-multi-300x227.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/proc\u00e9-multi-150x114.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/proc\u00e9-multi-768x581.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/proc\u00e9-multi-1024x775.jpg 1024w\" sizes=\"auto, (max-width: 244px) 100vw, 244px\" \/><\/td>\n<td style=\"width: 10px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Proc\u00e9dure de lin\u00e9arit\u00e9 multiplicative\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Combinaison de proc\u00e9dures<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/multti-a.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-4197 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/multti-a-300x225.jpg\" alt=\"\" width=\"233\" height=\"174\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/multti-a-300x225.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/multti-a-150x112.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/multti-a-768x576.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/multti-a-1024x767.jpg 1024w\" sizes=\"auto, (max-width: 233px) 100vw, 233px\" \/><\/a><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4196\" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a-289x300.jpg\" alt=\"\" width=\"254\" height=\"263\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a-289x300.jpg 289w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a-144x150.jpg 144w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a-768x798.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a-986x1024.jpg 986w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/combi-a.jpg 1962w\" sizes=\"auto, (max-width: 254px) 100vw, 254px\" \/><\/a><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Passage \u00e0 l&rsquo;unit\u00e9\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Coefficient de propor.\u00a0 et vitesses constantes<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-4199 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a-294x300.jpg\" alt=\"\" width=\"263\" height=\"268\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a-294x300.jpg 294w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a-147x150.jpg 147w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a-768x784.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a-1003x1024.jpg 1003w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/unit\u00e9-a.jpg 1979w\" sizes=\"auto, (max-width: 263px) 100vw, 263px\" \/><\/a>\u00a0<a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/coef-et-vitesse-a.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4195 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/coef-et-vitesse-a-300x207.jpg\" alt=\"\" width=\"224\" height=\"155\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/coef-et-vitesse-a-300x207.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/coef-et-vitesse-a-150x103.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/coef-et-vitesse-a-768x529.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/coef-et-vitesse-a-1024x706.jpg 1024w\" sizes=\"auto, (max-width: 224px) 100vw, 224px\" \/><\/a><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Pourcentage\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Agrandissement. et r\u00e9duction et \u00e9chelles<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/pourcentage-a.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-4198 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/pourcentage-a-300x151.jpg\" alt=\"\" width=\"248\" height=\"126\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/pourcentage-a-300x151.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/pourcentage-a-150x75.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/pourcentage-a-768x386.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/pourcentage-a-1024x515.jpg 1024w\" sizes=\"auto, (max-width: 248px) 100vw, 248px\" \/><\/a>\u00a0<a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/agra-\u00e9chel-a.jpg\" target=\"_blank\" rel=\"noopener noreferrer\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4194 \" src=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/agra-\u00e9chel-a-300x126.jpg\" alt=\"\" width=\"241\" height=\"100\" srcset=\"https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/agra-\u00e9chel-a-300x126.jpg 300w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/agra-\u00e9chel-a-150x63.jpg 150w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/agra-\u00e9chel-a-768x322.jpg 768w, https:\/\/site.ac-martinique.fr\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/03\/agra-\u00e9chel-a-1024x429.jpg 1024w\" sizes=\"auto, (max-width: 241px) 100vw, 241px\" \/><\/a><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>T\u00e9l\u00e9charger<\/strong><\/p>\n<ul>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/05\/19_Parcours_propor_synth\u00e8se_17_mai_2019.docx\" target=\"_blank\" rel=\"noopener noreferrer\">Parcours proportionnalit\u00e9 cycle 3 version f\u00e9vrier 2019 &#8211; version word<\/a><\/li>\n<li><a href=\"\/pole-maths\/wp-content\/uploads\/sites\/26\/2019\/05\/19_Parcours_propor_synth\u00e8se_17_mai_2019.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Parcours proportionnalit\u00e9 cycle 3 version f\u00e9vrier 2019 &#8211; version pdf<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Le parcours d&rsquo;apprentissage\u00a0 proportionnalit\u00e9\u00a0 cycle 3 est \u00a0le fruit d&rsquo;un travail collaboratif interdegr\u00e9 entre enseignants\u00a0 de diff\u00e9rents REP+ de l&rsquo;acad\u00e9mie.\u00a0Il est constitu\u00e9 d&rsquo;une banque de probl\u00e8mes r\u00e9partis par niveau et selon les diff\u00e9rentes proc\u00e9dures mises en jeu pour les r\u00e9soudre.<\/p>\n","protected":false},"author":83,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[48,44,42,115,41,111],"tags":[],"class_list":["post-4183","post","type-post","status-publish","format-standard","hentry","category-cycle3","category-geometrie-domaines-mathematiques","category-grandeurs-et-mesures","category-liaisons-cm26eme","category-nombresetcalcul","category-resolution-de-problemes-2"],"_links":{"self":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/4183","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=4183"}],"version-history":[{"count":17,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/4183\/revisions"}],"predecessor-version":[{"id":4291,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=\/wp\/v2\/posts\/4183\/revisions\/4291"}],"wp:attachment":[{"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/site.ac-martinique.fr\/pole-maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}