{"id":483,"date":"2016-01-31T23:39:26","date_gmt":"2016-01-31T22:39:26","guid":{"rendered":"http:\/\/blogacabdx.ac-bordeaux.fr\/semaine-des-maths\/?p=483"},"modified":"2016-11-08T14:03:12","modified_gmt":"2016-11-08T13:03:12","slug":"echelles-dans-un-terrain-de-tennis-et-de-badminton-une-activite-du-lycee-gujan-mestras","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2016\/01\/31\/echelles-dans-un-terrain-de-tennis-et-de-badminton-une-activite-du-lycee-gujan-mestras\/","title":{"rendered":"Echelles dans un terrain de tennis et de badminton"},"content":{"rendered":"<p><strong>Olivier Aumaire, enseignant au lyc\u00e9e Philippe Cousteau \u00e0 Saint- Andr\u00e9 de Cubzac, propose cette activit\u00e9 pour introduire la notion d&#8217;\u00e9chelles au coll\u00e8ge ou r\u00e9activer les notions de proportionnalit\u00e9 dans un contexte concret. Il s&#8217;agit de repr\u00e9senter \u00e0 l&#8217;\u00e9chelle 1\/100 un terrain de tennis, puis d&#8217;\u00e9valuer l&#8217;\u00e9chelle d&#8217;une repr\u00e9sentation d&#8217;un terrain de badminton.<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/LES-ECHELLES-maths-EPS-lyc\u00e9e-Gujan-mestras.docx\" rel=\"\">Fiche d&#8217;activit\u00e9 au format DOC<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/LES-ECHELLES-maths-EPS-Lyc\u00e9e-Gujan-Mestras.pdf\" rel=\"\">Fiche d&#8217;activit\u00e9 au format PDF<\/a><\/li>\n<\/ul>\n<h2><strong><u>Partie 1<br \/>\n<\/u><\/strong><\/h2>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/tennis.png\" rel=\"attachment wp-att-484\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-484 aligncenter\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/tennis-300x142.png\" alt=\"tennis\" width=\"475\" height=\"225\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/tennis-300x142.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/tennis.png 388w\" sizes=\"auto, (max-width: 475px) 100vw, 475px\" \/><\/a><\/p>\n<div align=\"center\">\n<table>\n<tbody>\n<tr>\n<td style=\"text-align: center\">km<\/td>\n<td>hm<\/td>\n<td>dam<\/td>\n<td>m\u00e8tre<\/td>\n<td>dm<\/td>\n<td>cm<\/td>\n<td>mm<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<ul>\n<li>a) Convertir en cm les dimensions du terrain de badminton (Longueur 13.40 m ; largeur 6.10 m)<\/li>\n<li>b) Gr\u00e2ce aux dimensions du terrain, faites sur une feuille un plan du terrain de badminton \u00e0 l\u2019\u00e9chelle 1\/100 (il vous faut d\u2019abord calculer les dimensions des longueur et largeur que vous allez tracer, puis ajouter les lignes du terrain toujours suivant les dimensions du sch\u00e9ma)<\/li>\n<li>c) S\u2019agit-il d\u2019une r\u00e9duction ou d\u2019un agrandissement\u00a0? Justifier.<\/li>\n<\/ul>\n<h2><strong><u>Partie 2<\/u><\/strong><\/h2>\n<ul>\n<li>d) Voici le plan d\u2019un terrain de badminton. Mesurer \u00e0 la r\u00e8gle la longueur du terrain sur le plan<a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/plan-terrain-de-tennis.png\" rel=\"attachment wp-att-485\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-485 aligncenter\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/plan-terrain-de-tennis-300x186.png\" alt=\"plan terrain de tennis\" width=\"300\" height=\"186\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/plan-terrain-de-tennis-300x186.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-content\/uploads\/sites\/17\/2016\/01\/plan-terrain-de-tennis.png 646w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Longueur sur le plan = \u2026\u2026\u2026\u2026\u2026\u2026.\u00a0; largeur sur le plan = \u2026\u2026\u2026\u2026\u2026\u2026\u2026<\/li>\n<li>e) En utilisant le tableau ci-dessous, calculer l\u2019\u00e9chelle de ce plan\n<div align=\"center\">\n<table>\n<tbody>\n<tr>\n<td>Dimensions sur le plan en cm<\/td>\n<td>\u2026\u2026\u2026..\u2026\u2026\u2026\u2026\u2026\u2026\u2026..<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>Dimensions r\u00e9elles en cm<\/td>\n<td>1340<\/td>\n<td>\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>L\u2019\u00e9chelle du plan semble \u00eatre \u00a0:\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.<\/li>\n<li>f) Gr\u00e2ce \u00e0 votre r\u00e9sultat, v\u00e9rifier si la largeur sur le plan correspond r\u00e9ellement \u00e0 la largeur r\u00e9elle du terrain.<\/li>\n<\/ul>\n<h2>Grille de comp\u00e9tences de cette activit\u00e9<\/h2>\n<div align=\"center\">\n<table>\n<tbody>\n<tr>\n<td width=\"121\">comp\u00e9tences<\/td>\n<td width=\"212\">capacit\u00e9s<\/td>\n<td width=\"113\">questions<\/td>\n<td width=\"149\">Niveau d\u2019acquisition<\/td>\n<\/tr>\n<tr>\n<td width=\"121\">S\u2019approprier<\/td>\n<td width=\"212\">Rechercher, extraire et organiser l\u2019information<\/p>\n<p>\u2026.<\/td>\n<td width=\"113\">a) \u2013 d)<\/td>\n<td width=\"149\"><\/td>\n<\/tr>\n<tr>\n<td width=\"121\">Analyser-raisonner<\/td>\n<td width=\"212\">Emettre une hypoth\u00e8se<\/p>\n<p>Proposer une m\u00e9thode de r\u00e9solution<\/p>\n<p>\u2026<\/td>\n<td width=\"113\">b)<\/td>\n<td width=\"149\"><\/td>\n<\/tr>\n<tr>\n<td width=\"121\">r\u00e9aliser<\/td>\n<td width=\"212\">Choisir une m\u00e9thode de r\u00e9solution<\/p>\n<p>suivre une consigne avec pr\u00e9cision<\/p>\n<p>Ex\u00e9cuter une m\u00e9thode de r\u00e9solution<\/p>\n<p>\u2026<\/td>\n<td width=\"113\">a) \u2013 b) \u2013 e)<\/td>\n<td width=\"149\"><\/td>\n<\/tr>\n<tr>\n<td width=\"121\">valider<\/td>\n<td width=\"212\">Critiquer un r\u00e9sultat<\/p>\n<p>Argumenter<\/p>\n<p>\u2026<\/td>\n<td width=\"113\">c) \u2013 f)<\/td>\n<td width=\"149\"><\/td>\n<\/tr>\n<tr>\n<td width=\"121\">communiquer<\/td>\n<td width=\"212\">Rendre compte \u00e0 l\u2019oral ou \u00e0 l\u2019\u00e9crit<\/td>\n<td width=\"113\">c)<\/td>\n<td width=\"149\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Olivier Aumaire, enseignant au lyc\u00e9e Philippe Cousteau \u00e0 Saint- Andr\u00e9 de Cubzac, propose cette activit\u00e9 pour introduire la notion d&#8217;\u00e9chelles au coll\u00e8ge ou r\u00e9activer les notions de proportionnalit\u00e9 dans un contexte concret. Il s&#8217;agit de repr\u00e9senter \u00e0 l&#8217;\u00e9chelle 1\/100 un terrain de tennis, puis d&#8217;\u00e9valuer l&#8217;\u00e9chelle d&#8217;une repr\u00e9sentation d&#8217;un terrain de badminton. Fiche d&#8217;activit\u00e9 au &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/2016\/01\/31\/echelles-dans-un-terrain-de-tennis-et-de-badminton-une-activite-du-lycee-gujan-mestras\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20,21,14],"tags":[],"class_list":["post-483","post","type-post","status-publish","format-standard","hentry","category-annee-2016","category-maths-et-sport","category-ressources","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/483","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/comments?post=483"}],"version-history":[{"count":1,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/483\/revisions"}],"predecessor-version":[{"id":1254,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/posts\/483\/revisions\/1254"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/media?parent=483"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/categories?post=483"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/semaine-des-maths\/wp-json\/wp\/v2\/tags?post=483"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}