{"id":7743,"date":"2021-03-21T16:32:34","date_gmt":"2021-03-21T14:32:34","guid":{"rendered":"https:\/\/esrenens.ch\/mc\/?p=7743"},"modified":"2021-05-24T17:43:15","modified_gmt":"2021-05-24T15:43:15","slug":"cours-fac-de-math","status":"publish","type":"post","link":"https:\/\/esrenens.ch\/news23\/?p=7743","title":{"rendered":"Cours fac de math"},"content":{"rendered":"\n<p>Dans ce cours&nbsp;qui a lieu le lundi \u00e0 midi pour&nbsp;les 10\u00e8me, on fait des math\u00e9matiques diff\u00e9remment. Voici quelques exemples des projets que nous avons fait.&nbsp;<\/p>\n\n\n\n<p><strong>G\u00e9om\u00e9trie en grande \u00e9chelle&nbsp;<\/strong>&nbsp;<\/p>\n\n\n\n<p>Pour travailler la g\u00e9om\u00e9trie dans l\u2019espace, on a particip\u00e9 \u00e0 3 ateliers :&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Construction de poly\u00e8dres avec des tiges en bois de 1m et des connecteurs.&nbsp;On peut se rendre compte du volume que \u00e7a repr\u00e9sente r\u00e9viser les arr\u00eates, sommets et faces.&nbsp;<\/li><\/ol>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-5-892x1024.png\" alt=\"\" class=\"wp-image-7755\" width=\"195\" height=\"223\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5-892x1024.png 892w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5-261x300.png 261w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5-768x881.png 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5.png 900w\" sizes=\"auto, (max-width: 195px) 100vw, 195px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-6-895x1024.png\" alt=\"\" class=\"wp-image-7756\" width=\"202\" height=\"231\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6-895x1024.png 895w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6-262x300.png 262w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6-768x879.png 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6.png 957w\" sizes=\"auto, (max-width: 202px) 100vw, 202px\" \/><\/figure><\/div>\n\n\n\n<ol class=\"wp-block-list\"><li>Faire des polygones avec une ficelle dans un cube.&nbsp;C\u2019est l\u2019occasion de revoir les diff\u00e9rentes propri\u00e9t\u00e9s des polygones.&nbsp;&nbsp;<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-3-768x1024.jpeg\" alt=\"\" class=\"wp-image-7749\" width=\"254\" height=\"339\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-3-768x1024.jpeg 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-3-225x300.jpeg 225w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-3.jpeg 1188w\" sizes=\"auto, (max-width: 254px) 100vw, 254px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-4-768x1024.jpeg\" alt=\"\" class=\"wp-image-7751\" width=\"225\" height=\"300\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4-768x1024.jpeg 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4-225x300.jpeg 225w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4.jpeg 1188w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-5-768x1024.jpeg\" alt=\"\" class=\"wp-image-7752\" width=\"226\" height=\"301\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5-768x1024.jpeg 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5-225x300.jpeg 225w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-5.jpeg 1188w\" sizes=\"auto, (max-width: 226px) 100vw, 226px\" \/><\/figure>\n\n\n\n<ol class=\"wp-block-list\"><li>Dans un dod\u00e9ca\u00e8dre,&nbsp;on devait tracer avec de la ficelle un cube, c\u2019est l\u2019occasion de travailler le parall\u00e9lisme, d\u00e9terminer des angles droits&#8230;.&nbsp;<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-6-768x1024.jpeg\" alt=\"\" class=\"wp-image-7753\" width=\"216\" height=\"288\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6-768x1024.jpeg 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6-225x300.jpeg 225w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-6.jpeg 1200w\" sizes=\"auto, (max-width: 216px) 100vw, 216px\" \/><\/figure>\n\n\n\n<p><strong>L&rsquo;art de la g\u00e9om\u00e9trie<\/strong>&nbsp;<\/p>\n\n\n\n<p>Cet art est un ensemble de motif g\u00e9om\u00e9trique qui est r\u00e9p\u00e9t\u00e9. Il est utilis\u00e9 dans les&nbsp;litema&nbsp;africaines ou les jardins \u00e0 la fran\u00e7aise.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"850\" height=\"554\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-4.png\" alt=\"\" class=\"wp-image-7754\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4.png 850w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4-300x196.png 300w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4-768x501.png 768w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4-207x136.png 207w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-4-260x170.png 260w\" sizes=\"auto, (max-width: 850px) 100vw, 850px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"168\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-2.jpeg\" alt=\"\" class=\"wp-image-7747\"\/><\/figure>\n\n\n\n<p>Nous avons utilis\u00e9 en classe ce type d\u2019art g\u00e9om\u00e9trique en cr\u00e9ant notre \u201ccarr\u00e9\u201d et nous devions ensuite \u00e9crire une marche suivre pour la refaire.&nbsp;<\/p>\n\n\n\n<p>Nous avons trouv\u00e9 ceci compliqu\u00e9 car il manquait des informations ou ce n\u2019\u00e9tait pas clair. On dessinait des choses diff\u00e9rentes de l\u2019original.&nbsp;<\/p>\n\n\n\n<p>Nous avons aussi travaill\u00e9 la proportionnalit\u00e9 car nous devions agrandir notre figure par 4.&nbsp;<\/p>\n\n\n\n<p>Les compas n\u2019\u00e9taient plus utilisables dans certains cas nous avons&nbsp;du&nbsp;utiliser une ficelle avec un crayon attach\u00e9.&nbsp;<\/p>\n\n\n\n<p><strong>Les codes secrets<\/strong>&nbsp;<\/p>\n\n\n\n<p>Le code de C\u00e9sar&nbsp;<\/p>\n\n\n\n<p>Le code de C\u00e9sar consiste \u00e0 d\u00e9caler les lettres de l\u2019alphabet.&nbsp;<\/p>\n\n\n\n<p>Par exemple, si on d\u00e9cale de 3 lettres \u201cBonjour\u201d s\u2019\u00e9crit&nbsp; \u201cerqmrxu\u201d.&nbsp;<\/p>\n\n\n\n<p>On peut utiliser une roue pour d\u00e9coder plus facilement.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-3.png\" alt=\"\" class=\"wp-image-7750\" width=\"201\" height=\"235\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-3.png 496w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-3-256x300.png 256w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/figure>\n\n\n\n<p>Les codes num\u00e9riques&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image.gif\" alt=\"\" class=\"wp-image-7745\" width=\"201\" height=\"201\"\/><\/figure>\n\n\n\n<p>Ce code secret s\u2019utilise en regardant le chiffre dans la colonne de gauche puis le chiffre dans la ligne sup\u00e9rieur.&nbsp;<\/p>\n\n\n\n<p>Exemple : Bonjour s\u2019\u00e9crit&nbsp;&nbsp;&nbsp; 12\u201333\u201332-24-33-43-36&nbsp;<\/p>\n\n\n\n<p>&nbsp;Le code des&nbsp;francs-ma\u00e7ons&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"424\" height=\"367\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-1.png\" alt=\"\" class=\"wp-image-7746\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-1.png 424w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-1-300x260.png 300w\" sizes=\"auto, (max-width: 424px) 100vw, 424px\" \/><\/figure>\n\n\n\n<p>Avec ce code secret il faut regarder les traits qui entoure la lettre.&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"29\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image.png\" alt=\"\" class=\"wp-image-7744\" srcset=\"https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image.png 212w, https:\/\/esrenens.ch\/news23\/wp-content\/uploads\/2021\/03\/image-207x29.png 207w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\" \/><\/figure><\/div>\n\n\n\n<p>Exemple:\u00a0Bonjour s\u2019\u00e9crit\u00a0\u00a0\u00a0\u00a0:<\/p>\n\n\n\n<p>Si on a la cl\u00e9 pour d\u00e9coder, c\u2019est assez facile de d\u00e9chiffrer le message mais si on ne connait pas la cl\u00e9 pour le faire, il existe des techniques pour retrouver le sens du message en utilisant la fr\u00e9quence des lettres dans la langue fran\u00e7aise.&nbsp;<\/p>\n\n\n\n<p><strong>Etapes:&nbsp;<\/strong>&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Compter le nombre de lettres pour chaque symbole.&nbsp;&nbsp;<\/li><\/ol>\n\n\n\n<ol class=\"wp-block-list\"><li>Trouver le % de chaque symbole.&nbsp;&nbsp;<\/li><\/ol>\n\n\n\n<ol class=\"wp-block-list\"><li>Grace \u00e0 la fr\u00e9quence des lettres de la langue fran\u00e7aise on peut associer un symbole a une lettre.&nbsp;&nbsp;<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"293\" height=\"275\" src=\"https:\/\/esrenens.ch\/mc\/wp-content\/uploads\/2021\/03\/image-2.png\" alt=\"\" class=\"wp-image-7748\"\/><\/figure>\n\n\n\n<ol class=\"wp-block-list\"><li>Si on h\u00e9site, on teste pour voir si \u00e7a veut dire quelque chose ou on essaye de deviner par&nbsp;nous-m\u00eame.&nbsp;&nbsp;&nbsp;&nbsp;<\/li><\/ol>\n\n\n\n<p><strong>&nbsp;<\/strong><strong>Exemple:<\/strong><strong>&nbsp;&nbsp;&nbsp;<\/strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; B R A _ O&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Ou il y a un trou on pourrait deviner qu\u2019il y a un V par&nbsp;d\u00e9duction.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dans ce cours&nbsp;qui a lieu le lundi \u00e0 midi pour&nbsp;les 10\u00e8me, on fait des math\u00e9matiques diff\u00e9remment. Voici quelques exemples des projets que nous avons fait.&nbsp; G\u00e9om\u00e9trie en grande \u00e9chelle&nbsp;&nbsp; Pour travailler la g\u00e9om\u00e9trie dans l\u2019espace, on a particip\u00e9 \u00e0 3 ateliers :&nbsp; Construction de poly\u00e8dres avec des tiges en bois de 1m et des connecteurs.&nbsp;On [&hellip;]<\/p>\n","protected":false},"author":66,"featured_media":7756,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-7743","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-vie-au-college"],"_links":{"self":[{"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/posts\/7743","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7743"}],"version-history":[{"count":1,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/posts\/7743\/revisions"}],"predecessor-version":[{"id":7757,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/posts\/7743\/revisions\/7757"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=\/wp\/v2\/media\/7756"}],"wp:attachment":[{"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7743"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7743"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/esrenens.ch\/news23\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}