{"id":2911,"date":"2017-09-04T13:58:25","date_gmt":"2017-09-04T12:58:25","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=2911"},"modified":"2018-02-17T02:05:10","modified_gmt":"2018-02-17T01:05:10","slug":"2nde-chap-1-1er-degre","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/2nde-chap-1-1er-degre\/","title":{"rendered":"Premier degr\u00e9 (2de &#8211; Chap 1 &#8211; 2,5 semaines)"},"content":{"rendered":"<p style=\"text-align: right\">Retour \u00e0 la <strong><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/exemple-de-progression-en-classe-de-seconde\/\">progression propos\u00e9e pour la classe de 2de<\/a><\/strong><\/p>\n<h1>Contenus<\/h1>\n<ul>\n<li>Fonctions lin\u00e9aires et affines<\/li>\n<li>Variations et signe d\u2019une fonction affine<\/li>\n<li>Donner le sens de variation d\u2019une fonction affine<\/li>\n<li>Donner le tableau de signes \u00a0pour des valeurs num\u00e9riques donn\u00e9es de \u00a0et<\/li>\n<li>R\u00e9solution graphique et alg\u00e9brique des \u00e9quations et in\u00e9quations se ramenant au 1<sup>er<\/sup> degr\u00e9<\/li>\n<li><span style=\"color: #993366\">Syst\u00e8mes d&#8217;\u00e9quations (1<sup>re<\/sup> approche d\u2019un probl\u00e8me se ramenant \u00e0 un syst\u00e8me, sans formalisation)<\/span><\/li>\n<\/ul>\n<h1>Capacit\u00e9s attendues<\/h1>\n<ul>\n<li>Mettre un probl\u00e8me en \u00e9quation.<\/li>\n<li>R\u00e9soudre une \u00e9quation \/ une in\u00e9quation se ramenant au premier degr\u00e9.<\/li>\n<li>Exprimer les solutions d\u2019une in\u00e9quation sous forme d\u2019intervalles<\/li>\n<li>Interpr\u00e9ter et construire un tableau de valeurs, un tableau de signe, un tableau de variations<\/li>\n<\/ul>\n<h1><span style=\"color: #ff0000\">R\u00e9activation<\/span> \/ commentaires<\/h1>\n<ul>\n<li><span style=\"color: #ff0000\">Vocabulaire image &#8211; ant\u00e9c\u00e9dent &#8211; courbe repr\u00e9sentative<\/span><\/li>\n<li>C\u2019est l\u2019occasion de travailler sur les ensembles de nombres et sur les symboles\u00a0\u2229 et\u00a0\u222a .<\/li>\n<li>La r\u00e9solution d\u2019in\u00e9quations permet d\u2019introduire la notation des intervalles, en s\u2019appuyant sur la repr\u00e9sentation d\u00e9j\u00e0 connue de l\u2019ensemble des solutions sur la droite num\u00e9rique.<\/li>\n<li>On fait le lien entre le signe de <em>ax+b<\/em>, le sens de variation de la fonction et sa courbe repr\u00e9sentative.<\/li>\n<\/ul>\n<h1>Ressources pour activit\u00e9s, probl\u00e8mes transversaux, devoirs maison, &#8230;<\/h1>\n<ul>\n<li><span style=\"color: #ffcc99\">TICE\u00a0<\/span>: <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/mise-en-equation-avec-thales\/\">Mise en \u00e9quation Thal\u00e8s<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/devoir-maison-n3\/\">G\u00e9om\u00e9trie et expressions alg\u00e9briques<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/devoir-maison-n4\/\">Encercl\u00e9<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/07\/circuit_automobile.pdf\">Circuit automobile<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/lien-entre-fonction-tableau-de-valeurs-et-courbe\/\">Lien entre fonction, tableau de valeurs et courbe<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/programmes-de-calcul\/\">Programmes de calcul<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/07\/etude_d_un_ressort.pdf\">\u00c9tude d&#8217;un ressort<\/a><\/li>\n<li><span style=\"color: #ffcc99\">TICE\u00a0:<\/span> <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/pourcentage_evolution_tableur.zip\">Pourcentages<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/06\/placement.pdf\">Placement<\/a><\/li>\n<\/ul>\n<h1>Algorithmique et programmation<\/h1>\n<ul>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/09\/Evaluation-diagnostique.zip\">\u00c9valuation diagnostique (SCRATCH)<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2016\/09\/exemples_algorithmes.pdf\">Exemples d\u2019algorithmes<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/09\/Fonctions-affines-et-algorithme.zip\">Fonctions affines et algorithme (SCRATCH)<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2017\/09\/algorithmes_conditionnels.pdf\">Algorithmes conditionnels<\/a><\/li>\n<li><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/lair-de-rien\/\">Activit\u00e9 Aire de rien<\/a><\/li>\n<\/ul>\n<h1>Id\u00e9es d&#8217;activit\u00e9s<\/h1>\n<ul>\n<li>Recherche d\u2019une fonction affine \u00e0 partir de deux nombres dont on conna\u00eet les images (par le calcul du coefficient directeur)<\/li>\n<li>Pourcentages d\u2019\u00e9volution (en lien avec les fonctions lin\u00e9aires)<\/li>\n<li>R\u00e9solution de probl\u00e8mes du premier degr\u00e9 ou se ramenant au premier degr\u00e9<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Retour \u00e0 la progression propos\u00e9e pour la classe de 2de Contenus Fonctions lin\u00e9aires et affines Variations et signe d\u2019une fonction affine Donner le sens de variation d\u2019une fonction affine Donner le tableau de signes \u00a0pour des valeurs num\u00e9riques donn\u00e9es de \u00a0et R\u00e9solution graphique et alg\u00e9brique des \u00e9quations et in\u00e9quations se ramenant au 1er degr\u00e9 Syst\u00e8mes &hellip; 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