{"id":5141,"date":"2026-05-12T12:02:16","date_gmt":"2026-05-12T12:02:16","guid":{"rendered":"https:\/\/pausemaths.fr\/?p=5141"},"modified":"2026-05-21T11:44:53","modified_gmt":"2026-05-21T11:44:53","slug":"aire-et-perimetre","status":"publish","type":"post","link":"https:\/\/pausemaths.fr\/index.php\/2026\/05\/12\/aire-et-perimetre\/","title":{"rendered":"Aire et P\u00e9rim\u00e8tre"},"content":{"rendered":"\n
\n
\n

Mission 1 :
J’apprends, Je comprends<\/p>\n<\/div>\n\n\n\n

\n

Mission 2 :
Exercices Niveau 1<\/p>\n<\/div>\n\n\n\n

\n

Mission 3 :
Exercices Niveau 2<\/p>\n<\/div>\n\n\n\n

\n

Mission 4 :
Maths Num\u00e9riques<\/p>\n<\/div>\n<\/div>\n\n\n\n

\n\n\n\n
\"\"<\/a><\/figure>\n\n\n\n

Notion d’aire :<\/p>\n\n\n\n

Notion de p\u00e9rim\u00e8tre :<\/p>\n\n\n\n

Les formules \u00e0 connaitre :<\/p>\n\n\n\n

Convertir des unit\u00e9s d’aires<\/p>\n\n\n\n

Notions principales<\/p>\n\n\n\n

    \n
  • P\u00e9rim\u00e8tre\u00a0:\u00a0d\u00e9finition\u00a0(longueur\u00a0du\u00a0contour\u00a0d\u2019une\u00a0figure\u00a0plane),\u00a0unit\u00e9s,\u00a0calculs\u00a0pour\u00a0figures\u00a0simples\u00a0(segment,\u00a0rectangle,\u00a0carr\u00e9,\u00a0triangle,\u00a0polygones\u00a0r\u00e9guliers\u00a0simples)\u00a0et\u00a0compositions\u00a0de\u00a0figures.<\/li>\n\n\n\n
  • Aire\u00a0:\u00a0notion\u00a0d\u2019aire\u00a0comme\u00a0mesure\u00a0de\u00a0la\u00a0surface,\u00a0unit\u00e9s\u00a0d\u2019aire\u00a0(cm\u00b2,\u00a0m\u00b2,\u00a0km\u00b2,\u00a0dm\u00b2\u2026),\u00a0conversion\u00a0d\u2019unit\u00e9s\u00a0d\u2019aire.<\/li>\n\n\n\n
  • Formules\u00a0usuelles\u00a0:\n
      \n
    • Rectangle\u00a0\/\u00a0parall\u00e9logramme\u00a0:\u00a0A\u00a0=\u00a0base\u00a0\u00d7\u00a0hauteur.<\/li>\n\n\n\n
    • Carr\u00e9\u00a0:\u00a0A\u00a0=\u00a0c\u00f4t\u00e9\u00b2.<\/li>\n\n\n\n
    • Triangle\u00a0(quelconque)\u00a0:\u00a0A\u00a0=\u00a0(base\u00a0\u00d7\u00a0hauteur)\u00a0\/\u00a02.<\/li>\n\n\n\n
    • Triangle\u00a0rectangle\u00a0:\u00a0application\u00a0de\u00a0la\u00a0formule\u00a0ci\u2011dessus\u00a0avec\u00a0hauteur\u00a0=\u00a0c\u00f4t\u00e9\u00a0perpendiculaire.<\/li>\n\n\n\n
    • Losange\u00a0:\u00a0A\u00a0=\u00a0(diagonale1\u00a0\u00d7\u00a0diagonale2)\u00a0\/\u00a02\u00a0(parfois\u00a0\u00e9tudi\u00e9\u00a0selon\u00a0le\u00a0programme\u00a0local).<\/li>\n\n\n\n
    • Cercle\u00a0:\u00a0aire\u00a0=\u00a0\u03c0\u00a0\u00d7\u00a0rayon\u00b2,\u00a0p\u00e9rim\u00e8tre\u00a0(circonf\u00e9rence)\u00a0=\u00a02\u03c0\u00a0\u00d7\u00a0rayon\u00a0(introduit\u00a0souvent,\u00a0selon\u00a0progression).<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Aires\u00a0de\u00a0figures\u00a0compos\u00e9es\u00a0:\u00a0d\u00e9couper\u00a0en\u00a0figures\u00a0simples\u00a0ou\u00a0utiliser\u00a0d\u00e9composition\/compl\u00e9ment\u00a0pour\u00a0calculer\u00a0une\u00a0aire.<\/li>\n\n\n\n
    • P\u00e9rim\u00e8tres\u00a0de\u00a0figures\u00a0compos\u00e9es\u00a0:\u00a0additionner\u00a0longueurs\u00a0des\u00a0segments,\u00a0attention\u00a0aux\u00a0parties\u00a0superpos\u00e9es<\/li>\n\n\n\n
    • Mise\u00a0en\u00a0relation\u00a0entre\u00a0p\u00e9rim\u00e8tre\u00a0et\u00a0aire\u00a0(comprendre\u00a0que\u00a0variations\u00a0de\u00a0forme\u00a0peuvent\u00a0laisser\u00a0l\u2019un\u00a0constant\u00a0et\u00a0modifier\u00a0l\u2019autre).<\/li>\n<\/ul>\n\n\n\n

      Comp\u00e9tences attendues (savoir-faire)<\/p>\n\n\n\n

        \n
      • Calculer\u00a0le\u00a0p\u00e9rim\u00e8tre\u00a0de\u00a0polygones\u00a0simples\u00a0et\u00a0de\u00a0figures\u00a0compos\u00e9es\u00a0\u00e0\u00a0partir\u00a0de\u00a0longueurs\u00a0donn\u00e9es\u00a0(en\u00a0respectant\u00a0les\u00a0unit\u00e9s).<\/li>\n\n\n\n
      • Calculer\u00a0l\u2019aire\u00a0de\u00a0rectangles,\u00a0carr\u00e9s,\u00a0triangles,\u00a0et\u00a0figures\u00a0obtenues\u00a0par\u00a0d\u00e9coupage\u00a0ou\u00a0assemblage\u00a0de\u00a0ces\u00a0figures.<\/li>\n\n\n\n
      • Convertir\u00a0des\u00a0unit\u00e9s\u00a0d\u2019aire\u00a0(ex.\u00a0m\u00b2\u00a0\u2194\u00a0cm\u00b2,\u00a0km\u00b2,\u00a0etc.)\u00a0et\u00a0appliquer\u00a0ces\u00a0conversions\u00a0correctement\u00a0dans\u00a0des\u00a0calculs.<\/li>\n\n\n\n
      • Utiliser\u00a0et\u00a0appliquer\u00a0correctement\u00a0les\u00a0formules\u00a0d\u2019aire\u00a0et\u00a0de\u00a0p\u00e9rim\u00e8tre\u00a0;\u00a0reconna\u00eetre\u00a0quelle\u00a0formule\u00a0utiliser\u00a0selon\u00a0la\u00a0figure.<\/li>\n\n\n\n
      • R\u00e9soudre\u00a0des\u00a0probl\u00e8mes\u00a0concrets\u00a0(probl\u00e8mes\u00a0de\u00a0la\u00a0vie\u00a0courante)\u00a0mettant\u00a0en\u00a0jeu\u00a0p\u00e9rim\u00e8tre\u00a0et\u00a0aire\u00a0:\u00a0trouver\u00a0dimensions\u00a0manquantes,\u00a0comparer\u00a0surfaces,\u00a0optimiser\u00a0(ex.\u00a0choisir\u00a0la\u00a0forme\u00a0donnant\u00a0la\u00a0plus\u00a0grande\u00a0aire\u00a0pour\u00a0un\u00a0p\u00e9rim\u00e8tre\u00a0donn\u00e9\u00a0\u2014\u00a0exploration\u00a0basique).<\/li>\n\n\n\n
      • Raisonner\u00a0et\u00a0justifier\u00a0:\u00a0expliquer\u00a0la\u00a0d\u00e9marche\u00a0de\u00a0calcul,\u00a0pr\u00e9senter\u00a0des\u00a0\u00e9tapes\u00a0claires,\u00a0et\u00a0v\u00e9rifier\u00a0la\u00a0coh\u00e9rence\u00a0des\u00a0r\u00e9sultats\u00a0(sensibilit\u00e9\u00a0aux\u00a0ordres\u00a0de\u00a0grandeur\u00a0et\u00a0unit\u00e9s).<\/li>\n\n\n\n
      • Repr\u00e9senter\u00a0et\u00a0exploiter\u00a0des\u00a0figures\u00a0sur\u00a0quadrillage\u00a0:\u00a0compter\u00a0des\u00a0carreaux\u00a0pour\u00a0estimer\u00a0une\u00a0aire,\u00a0utiliser\u00a0la\u00a0hauteur\u00a0perpendiculaire\u00a0pour\u00a0les\u00a0calculs.<\/li>\n\n\n\n
      • Passer\u00a0d\u2019un\u00a0\u00e9nonc\u00e9\u00a0g\u00e9om\u00e9trique\u00a0\u00e0\u00a0une\u00a0traduction\u00a0alg\u00e9brique\u00a0simple\u00a0(utiliser\u00a0des\u00a0expressions\u00a0pour\u00a0des\u00a0longueurs\u00a0ou\u00a0des\u00a0aires,\u00a0r\u00e9soudre\u00a0une\u00a0\u00e9quation\u00a0simple\u00a0issue\u00a0d\u2019un\u00a0probl\u00e8me).<\/li>\n<\/ul>\n\n\n\n

        Attitudes et capacit\u00e9s transversales<\/p>\n\n\n\n

          \n
        • Vigilance\u00a0sur\u00a0les\u00a0unit\u00e9s\u00a0et\u00a0leur\u00a0coh\u00e9rence.<\/li>\n\n\n\n
        • Habitude\u00a0de\u00a0dessiner,\u00a0annoter\u00a0et\u00a0justifier\u00a0un\u00a0raisonnement.<\/li>\n\n\n\n
        • Capacit\u00e9s\u00a0\u00e0\u00a0d\u00e9composer\u00a0un\u00a0probl\u00e8me\u00a0en\u00a0sous\u2011probl\u00e8mes\u00a0et\u00a0\u00e0\u00a0v\u00e9rifier\u00a0la\u00a0vraisemblance\u00a0des\u00a0r\u00e9sultats.<\/li>\n<\/ul>\n\n\n\n

          Exemples d\u2019exercices-types<\/p>\n\n\n\n

            \n
          • Calculer\u00a0l\u2019aire\u00a0et\u00a0le\u00a0p\u00e9rim\u00e8tre\u00a0d\u2019un\u00a0rectangle\u00a0de\u00a08\u00a0cm\u00a0\u00d7\u00a03,5\u00a0cm.<\/li>\n\n\n\n
          • En\u00a0d\u00e9composant,\u00a0trouver\u00a0l\u2019aire\u00a0d\u2019une\u00a0figure\u00a0form\u00e9e\u00a0d\u2019un\u00a0rectangle\u00a0auquel\u00a0on\u00a0a\u00a0retir\u00e9\u00a0un\u00a0petit\u00a0triangle.<\/li>\n\n\n\n
          • Donner\u00a0la\u00a0longueur\u00a0d\u2019un\u00a0c\u00f4t\u00e9\u00a0d\u2019un\u00a0carr\u00e9\u00a0connaissant\u00a0son\u00a0aire.<\/li>\n\n\n\n
          • Convertir\u00a02,5\u00a0m\u00b2\u00a0en\u00a0cm\u00b2\u00a0et\u00a0en\u00a0dm\u00b2.<\/li>\n\n\n\n
          • Comparer\u00a0l\u2019aire\u00a0de\u00a0deux\u00a0rectangles\u00a0ayant\u00a0le\u00a0m\u00eame\u00a0p\u00e9rim\u00e8tre\u00a0pour\u00a0identifier\u00a0lequel\u00a0a\u00a0la\u00a0plus\u00a0grande\u00a0aire\u00a0(exp\u00e9rimentation\u00a0num\u00e9rique).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

            Mission 1 :J’apprends, Je comprends Mission 2 :Exercices Niveau 1 Mission 3 :Exercices Niveau 2 Mission 4 :Maths Num\u00e9riques Notion d’aire : Notion de p\u00e9rim\u00e8tre : Les formules \u00e0 connaitre : Convertir des unit\u00e9s d’aires Notions principales Comp\u00e9tences attendues (savoir-faire) Attitudes et capacit\u00e9s transversales Exemples d\u2019exercices-types<\/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-5141","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/5141","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=5141"}],"version-history":[{"count":19,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/5141\/revisions"}],"predecessor-version":[{"id":5204,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/5141\/revisions\/5204"}],"wp:attachment":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=5141"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/categories?post=5141"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/tags?post=5141"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}