{"id":1726,"date":"2026-01-31T04:03:53","date_gmt":"2026-01-31T04:03:53","guid":{"rendered":"https:\/\/pausemaths.fr\/?p=1726"},"modified":"2026-03-30T12:02:20","modified_gmt":"2026-03-30T12:02:20","slug":"situation-de-proportionnalite","status":"publish","type":"post","link":"https:\/\/pausemaths.fr\/index.php\/2026\/01\/31\/situation-de-proportionnalite\/","title":{"rendered":"Proportionnalit\u00e9 : Les bases"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-wide is-style-wide--1\"\/>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Objectifs<\/summary>\n<ul class=\"wp-block-list\">\n<li>Relation entre deux grandeurs<\/li>\n\n\n\n<li>Mettre en \u00e9vidence d&rsquo;une situation de proportionnalit\u00e9\n<ul class=\"wp-block-list\">\n<li>Point de vue graphique : alignement des points et passage par l&rsquo;origine de la \u00ab\u00a0droite\u00a0\u00bb<\/li>\n\n\n\n<li>Existence d&rsquo;un coefficient unique pour passer d&rsquo;une ligne \u00e0 une autre<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Propri\u00e9t\u00e9 de lin\u00e9arit\u00e9 d&rsquo;un tableau de proportionnalit\u00e9<\/li>\n\n\n\n<li>Passage \u00e0 l&rsquo;unit\u00e9 pour r\u00e9soudre un probl\u00e8me<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n<\/details>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Activit\u00e9<\/strong><\/h2>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Situation 1 : La croissance d&rsquo;un ch\u00eane<\/summary>\n<p class=\"has-text-align-center\" style=\"padding-right:var(--wp--preset--spacing--80);padding-left:var(--wp--preset--spacing--80)\">Le graphique ci-dessous donne la taille d\u2019un ch\u00eane en fonction de son \u00e2ge.<br>Peut-on pr\u00e9voir combien il mesurera 200 ans apr\u00e8s avoir \u00e9t\u00e9 plant\u00e9 ?Expliquer.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"851\" height=\"602\" src=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-22.png\" alt=\"\" class=\"wp-image-2751\" style=\"width:600px\" srcset=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-22.png 851w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-22-300x212.png 300w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-22-768x543.png 768w\" sizes=\"auto, (max-width: 851px) 100vw, 851px\" \/><\/figure>\n<\/details>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Situation 2 : Agrandissement<\/summary>\n<p class=\"has-text-align-center\">Parmi les rectangles 2, 3 et 4 y-a-t-il des agrandissements du rectangle 1 ?<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"825\" height=\"564\" src=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-34.png\" alt=\"\" class=\"wp-image-2757\" style=\"width:600px\" srcset=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-34.png 825w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-34-300x205.png 300w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-34-768x525.png 768w\" sizes=\"auto, (max-width: 825px) 100vw, 825px\" \/><\/figure>\n<\/details>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-default\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center\"><strong>Fiches \u00e0 imprimer<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-dots\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<h2 class=\"wp-block-heading has-text-align-center has-large-font-size\"><strong><a href=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/03\/5P1_Cours_Proportionnalite.pdf\">Cours<\/a><br><a href=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/03\/cahier_2024_5e_D10_s1.pdf\">S\u00e9rie 1<\/a><br><a href=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/03\/cahier_2024_5e_D10_s2.pdf\">S\u00e9rie2<\/a><\/strong><br><a href=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/03\/Chap-4-exercices-corriges-5eme.pdf\">S\u00e9rie 3<\/a><\/h2>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"80\" height=\"82\" src=\"http:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/02\/image-6.png\" alt=\"\" class=\"wp-image-2190\"\/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-x-large-font-size\"><strong>Maths Num\u00e9riques<\/strong><\/h2>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-dots\"\/>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large\"><a href=\"https:\/\/view.genially.com\/61faf1b81db5d40011ddfa88\/interactive-content-proportionnalite-en-ligne\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"574\" src=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-38-1024x574.png\" alt=\"\" class=\"wp-image-2851\" srcset=\"https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-38-1024x574.png 1024w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-38-300x168.png 300w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-38-768x431.png 768w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-38-1536x861.png 1536w, https:\/\/pausemaths.fr\/wp-content\/uploads\/2026\/01\/image-38.png 1580w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n<p><center><\/p>\n<p><\/center><\/p>\n\n\n<hr class=\"wp-block-separator has-text-color has-contrast-color has-alpha-channel-opacity has-contrast-background-color has-background is-style-wide is-style-wide--2\"\/>\n","protected":false},"excerpt":{"rendered":"<p>Activit\u00e9 Fiches \u00e0 imprimer CoursS\u00e9rie 1S\u00e9rie2S\u00e9rie 3 Maths Num\u00e9riques<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1726","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/1726","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=1726"}],"version-history":[{"count":52,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/1726\/revisions"}],"predecessor-version":[{"id":3053,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/1726\/revisions\/3053"}],"wp:attachment":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=1726"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/categories?post=1726"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/tags?post=1726"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}