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\begin{enumerate} + \item Dans une pile de cahiers vendus à l'unité, Abdou choisit 7 cahiers et il paie 28 \euro. Sabrina en choisit 14. Combien paie-t-elle? + \item Roufouanti sait que pour cuisiner 3 gâteaux, elle a besoin de 4 tablettes de chocolat. Combien de tablette a-t-elle besoin pour faire 9 gâteaux? + \item Dans une recette de pâte de piment, on peut lire: "Mettre 6 citrons pour 8 piments". Combien de citron faudrait-il pour 4 piments? + \item Un touriste a plan de Sada. Il remarque que 4cm sur la carte correspond à 300m dans la ville. À combien correspond 20cm sur le pan? + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Prévisible? \Mod}] + \begin{enumerate} + \item Pour accueillir 6 invités, on a besoin de 2 bancs. Combien d'invités pourra-t-on accueillir avec 10 bancs? + \item Une boîte de 10 crayons différents coûte 7 \euro. Combien coûte une boîte de 20 crayons d'une autre marque? + \item Quand j'avais 10 ans je mesurai 1m50. Quel taille vais-je avoir à 20ans? + \end{enumerate} +\end{exercise} + +\vfill +\printexercise{exercise}{1} +\printexercise{exercise}{2} +\vfill + + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/E3_banque_prop.pdf b/StLaurentGrandvaux/6e/Proportionnalite/E3_banque_prop.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ed1846fd0d1ff311fae56b0742b62fddaab76ade GIT binary patch literal 34972 zcmce-bC4&&mOt9lwvB1qw(W1*wr$(C?P=Sdp0;h<_M3ZmH{N@(zlhyGe)ncXRV7Yl z)yb2YpFAf|kpe`-Xc_5Pp-E>JhF73j2p9g=+)&7ElrG^q3M-e z44wa(BWCAl15Ga^Wamzx#qgJ&k>Q`04mABgO8!}k5t?4sz}eB_F9qXYiofOmxc{Y4 zG;y+XaWpbiApe=AbA|ZoN38EyrTB zjhq`oDwx)kLNQgO?Dbhk|3^e|`HI7wY3bq#kU{;*NEiYF9o!W#c319wDng=6f=I(oC1lN@nxCk4uqR$U zNp{*j1-uK(Ary?p!_^ruZWT!?*{>w2I5>%rtGuA{} z(zzQ8h5iNbQ8*18pZcUpUkXWdz;HhFmKTYR{@Fr%P5jjJg^+&dJK>jJB4F@csO3iZiXSU-kcDvkT9fN2_cV|D_Ek?)<^ 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Combien coûteront 12 cahiers? + \item Sabrina a 11 ans et sa mère a 25ans. Quand Sabrina aura 22ans, quelle âge aura sa mère? + \item Abdou a acheté 10 feutres. Il paie 3 \euro. Jean en achète 30. Combien paie-t-il? + \item J'ai trois exercices à faire. J'ai mis 5 minutes à faire le premier. Combien de temps me faudra-t-il pour faire les trois? + \item 3 T.shirts valent 11\euro. Combien valent 9 T.shirts? + \item Au premier match de la saison, l'équipe de Kaweni a marqué 2 buts et son adversaire a marqué 1 but. Au match retour, l'équipe de Kaweni a maqué 4 buts. Combien l'équipe adverse a marqué de but? + \item Le robinet de al baignoire fuit: 6 litres d'eau s'échappent en 24h. Combien d'eau s'échappe en 72h? + \item Je prends mon pouls. Pour 15 secondes, je compte 17 pulsations. Combien de pulsation vais-je compter en une minute (60secondes)? + \item Une usine produit \np{1600} volant de voiture en 24h. Combien de volant peut-elle produire en 6h? + \item J'achète une boite de 10 crayons. Cela me coûte 7\euro et quand je la pèse, j'obtiens 200g. + \begin{enumerate} + \item Combien coûte 30 crayons du même type? + \item Combien pèse 20 crayons? + \end{enumerate} + \end{enumerate} +\end{exercise} + +\vfill + +\printexercise{exercise}{1} + +\vfill + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/E3_tbl_reconnaitre_prop.pdf b/StLaurentGrandvaux/6e/Proportionnalite/E3_tbl_reconnaitre_prop.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b3be03a5783067c8095360c526fc2c2c158e5bdc GIT binary patch literal 25299 zcmce-V~}XgvL@WNyLX$rZQHhcw{6?DZQHhO+qP}@?Dx)``EJBF5i@_zSrKbRA+w^M z%BrkdnOVegLL$`kG|W)Mvx`HkP)zuA_%{0HP+VM4v`TKaM)Pi;EtLR$9-|-s~?0{a=c|_5XbTQYaWX z*f`l67&+iG|1D8~qLnhTHgPn?r)S3hU(erG%q$&^?D1(uEcG0Xgp3Sq42__8c%U2{ z?Tz%Tpj_7%;HTxtrgwn=z`p=*p^U5z|5wf5)IVKk{oC+=1_Il^3j+Ip3!uhv| zf&L$n|7YYt&+u;p@t>Pa^#8Wm#PE-d|1*+c_($mfmg&U6_@4vuj}rX%fMEI0f%s?U 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10mm, top=10mm} + + +\pagestyle{empty} + +\begin{document} + +\hspace{-1cm} +\begin{tabular}{|p{6cm}|p{4cm}|*{2}{p{2.5cm}|}p{2cm}|} + \hline + Problème & Calculs et réponse & Grandeur 1 (unité) & Grandeur 2 (unité) & Situation \\ + \hline + \textbf{1. Cahiers} \newline On achète 6 cahiers et on paie 13 \euro. \newline Combien coûteront 12 cahiers? & & & & \\ + \hline + \textbf{2. Âges} \newline Sabrina a 11 ans et sa mère a 25ans. \newline Quand Sabrina aura 22ans, quelle âge aura sa mère? & & & & \\ + \hline + \textbf{3. Feutres} \newline Abdou a acheté 10 feutres. Il paie 3 \euro. \newline Jean en achète 30 identiques. Combien paie-t-il? & & & & \\ + \hline + \textbf{4. Exercices} \newline J'ai trois exercices à faire. J'ai mis 5 minutes à faire le premier. \newline Combien de temps me faudra-t-il pour faire les trois? & & & & \\ + \hline +\end{tabular} + + +\vfill + +\hspace{-1cm} +\begin{tabular}{|p{6cm}|p{4cm}|*{2}{p{2.5cm}|}p{2cm}|} + \hline + Problème & Calculs et réponse & Grandeur 1 (unité) & Grandeur 2 (unité) & Situation \\ + \hline + \textbf{1. Cahiers} \newline On achète 6 cahiers et on paie 13 \euro. \newline Combien coûteront 12 cahiers? & & & & \\ + \hline + \textbf{2. Âges} \newline Sabrina a 11 ans et sa mère a 25ans. \newline Quand Sabrina aura 22ans, quelle âge aura sa mère? & & & & \\ + \hline + \textbf{3. Feutres} \newline Abdou a acheté 10 feutres. Il paie 3 \euro. \newline Jean en achète 30 identiques. Combien paie-t-il? & & & & \\ + \hline + \textbf{4. Exercices} \newline J'ai trois exercices à faire. J'ai mis 5 minutes à faire le premier. \newline Combien de temps me faudra-t-il pour faire les trois? & & & & \\ + \hline +\end{tabular} + +\vfill + + + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/index.rst b/StLaurentGrandvaux/6e/Proportionnalite/index.rst new file mode 100644 index 0000000..13e054e --- /dev/null +++ b/StLaurentGrandvaux/6e/Proportionnalite/index.rst @@ -0,0 +1,50 @@ +Initiation à la proportionnalité avec les 6e pour l'année 2018-2019 +################################################################### + +:date: 2019-05-01 +:modified: 2019-05-01 +:authors: Bertrand Benjamin +:category: 6e +:tags: Opérations, Proportionnalite +:summary: Initiation aux situations de proportionnalité avec les 6e pour l'année 2018-2019. + + +Étape 1: Stratégies sur la proportionnalité +=========================================== + +Banque de problèmes simples. Exercice 1 de `initiation à la proportionnalité <./E1-2_pb_prop.pdf>`_. + +On fait d'abord travailler les élèves seul sans communication entre eux ni questions. On leur demande de fournir un effort particulier sur la rédaction. Quand tous les élèves sont lancés, on les autorise à travailler en groupe. On leur demande de rédiger une réponse complète aux questions 1 et 2 (se sera l'occasion de discuter du sens de "une réponse complète"). + +Quelques groupes passent au tableau présenter leurs réponses puis on les améliore ensemble. + +Bilan: les bonnes réponses bien rédigées des élèves sont mis dans le cours comme exemple de rédaction. + +Étape 2: Perturbation de la situation +===================================== + +Perturbation de la situation de la proportionnalité. Certains problèmes ne peuvent pas avoir de réponses. + +Exercice 2 de la fiche. + +Bilan: On note la question qui pose problème et on explique d'où il peut venir. + +Étape 3: Reconnaître et résoudre des problèmes de proportionnalité +================================================================== + +Nouvelle `banque d'exercices <./E3_banque_prop.pdf>`_, attention aux situations non proportionnelles!! +On ne parle pas de proportionnalité encore. + +`Tableau des grandeurs <./E3_tbl_reconnaitre_prop.pdf>`_. +La correction est reportée sur le cahier de bord avec l'introduction de la notion de grandeurs et de proportionnalité. + +Étape 4 +======= + +Les élèves doivent créer 3 problèmes: un proportionnel, un non proportionnel et un où on ne peut pas savoir. + +Étape 4 +======= + +Banque d'exercices à finir sur la durée. +