{"id":1621,"date":"2016-08-18T01:16:05","date_gmt":"2016-08-18T00:16:05","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=1621"},"modified":"2018-02-17T02:05:53","modified_gmt":"2018-02-17T01:05:53","slug":"programmes-de-calcul","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/programmes-de-calcul\/","title":{"rendered":"Programmes de calcul"},"content":{"rendered":"

Partie 1<\/h1>\n

Voici un programme de calcul et la traduction de chaque \u00e9tape \u00e0 l\u2019aide d\u2019expressions alg\u00e9briques :<\/p>\n\n\n\n\n\n\n
\u00c9tape 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Soit un nombre de d\u00e9part que l\u2019on nomme x <\/em><\/td>\nx <\/em><\/td>\n<\/tr>\n
\u00c9tape 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Prendre son double puis ajouter 3<\/td>\n2 x<\/em> + 3<\/td>\n<\/tr>\n
\u00c9tape 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Prendre le carr\u00e9 du r\u00e9sultat<\/td>\n\u00a0\"programme_calcul<\/td>\n<\/tr>\n
\u00c9tape 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Diviser le r\u00e9sultat obtenu par 2 puis retrancher 30<\/td>\n\u00a0\"programme_calcul<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

    \n
  1. Compl\u00e9ter le tableau pour cet autre programme de calcul :<\/li>\n<\/ol>\n\n\n\n\n\n
    \u00c9tape 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Soit un nombre de d\u00e9part que l\u2019on nomme x <\/em><\/td>\nx <\/em><\/td>\n<\/tr>\n
    \u00c9tape 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Multiplier ce nombre par 3 puis \u00e9lever le r\u00e9sultat au carr\u00e9<\/td>\n<\/td>\n<\/tr>\n
    \u00c9tape 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ajouter 4 \u00e0 l\u2019inverse du r\u00e9sultat obtenu<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

     <\/p>\n

      \n
    1. Compl\u00e9ter le tableau en \u00e9crivant chaque \u00e9tape du programme en face de l\u2019expression alg\u00e9brique correspondante.<\/li>\n<\/ol>\n

      Comme dans l\u2019exemple, la lettre x<\/em> ne sera plus utilis\u00e9e \u00e0 partir de l\u2019\u00e9tape 2.<\/p>\n\n\n\n\n\n\n
      \u00c9tape 1<\/td>\nx <\/em><\/td>\n<\/tr>\n
      \u00c9tape 2<\/td>\n\u00a06x<\/em>\u00b2<\/td>\n<\/tr>\n
      \u00c9tape 3<\/td>\n\u00a0\"programme_calcul<\/td>\n<\/tr>\n
      \u00c9tape 4<\/td>\n\u00a0\"programme_calcul<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Partie 2<\/h1>\n

      Transformer chacune des phrases ci-dessous en langage math\u00e9matique :<\/p>\n

        \n
      1. Le triple d\u2019un nombre est \u00e9gal \u00e0 13.<\/li>\n
      2. La somme du carr\u00e9 d\u2019un nombre a<\/em> et de 4.<\/li>\n
      3. Le produit de la moiti\u00e9 d\u2019un nombre x<\/em> par 7.<\/li>\n
      4. Le carr\u00e9 de la somme de 2 et d\u2019un nombre.<\/li>\n
      5. Le produit d\u2019un nombre par la diff\u00e9rence du double de ce nombre et de 8 est \u00e9gal \u00e0 0.<\/li>\n<\/ol>\n

        Partie 3<\/h1>\n

        L\u2019expression x<\/em>2<\/sup> + 5 se traduit par : \u00ab la somme<\/strong> du carr\u00e9 <\/strong>de x<\/em> et de 5 \u00bb.<\/p>\n

        Traduire les expressions litt\u00e9rales ci-dessous en utilisant les mots suivants :\u00a0\u00a0\u00a0 carr\u00e9 \u2013 cube \u2013 double \u2013 somme \u2013 produit \u2013 oppos\u00e9 \u2013 inverse.<\/strong><\/p>\n

        \"programme_calcul<\/p>\n

         <\/p>\n

        Fiche \u00e9l\u00e8ve Programmes de calcul word<\/a><\/p>\n

        Fiche \u00e9l\u00e8ve Programmes de calcul pdf<\/a><\/p>\n

         <\/p>\n

         <\/p>\n

        \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em><\/p>\n","protected":false},"excerpt":{"rendered":"

        Partie 1 Voici un programme de calcul et la traduction de chaque \u00e9tape \u00e0 l\u2019aide d\u2019expressions alg\u00e9briques : \u00c9tape 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Soit un nombre de d\u00e9part que l\u2019on nomme x x \u00c9tape 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Prendre son double puis ajouter 3 2 x + 3 \u00c9tape 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Prendre le carr\u00e9 du r\u00e9sultat \u00a0 \u00c9tape 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Diviser le r\u00e9sultat … <\/p>\n

        Lire la suite<\/a><\/p>\n","protected":false},"author":351,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[23,22],"tags":[],"class_list":["post-1621","post","type-post","status-publish","format-standard","hentry","category-seconde","category-lycee","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1621","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/users\/351"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/comments?post=1621"}],"version-history":[{"count":4,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1621\/revisions"}],"predecessor-version":[{"id":1632,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/1621\/revisions\/1632"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=1621"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=1621"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=1621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}