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b/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6B.tex new file mode 100644 index 0000000..69b6d05 --- /dev/null +++ b/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6B.tex @@ -0,0 +1,54 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\title{Proportionnalité - Exercices} +\tribe{Sixième} +\date{Mai 2019} + +\renewcommand{\arraystretch}{1.3} +\geometry{left=15mm,right=15mm, bottom= 10mm, top=10mm} + +\pagestyle{empty} + +\renewcommand{\quant}{\icon[scale=0.2]{dust-cloud}} + +\begin{document} + +\begin{exercise}[subtitle={Au poids ou à l'unité}] + Un marchand vend des ananas à l'unité, à 2 \euro pièce. + + Il vend aussi des oranges au poids, à 1 \euro le kilogramme. + + Bob achète deux ananas qui pèsent un kilogramme et demi au total, ainsi que huit oranges qui pèsent au total 2 kilogrammes. + + Combien Bob va-t-il payer ? +\end{exercise} + +\begin{exercise}[subtitle={Proportionnel?}] + Caractériser chacune des situations suivantes. + \begin{enumerate} + \item On achète \quant rubans qui font \quant m. Combien mesureront \quant rubans identiques? + \item Tu achètes \quand PS4 et cela coûte \quant\euro. Combien peux tu acheter de PS4 pour que cela coûte \quant \euro? + \item \quant maison se construisent en \quant h. Combien de maisons se construisent en \quant h? + \item Aujourd'hui, Sabrina a bu \quant litres d'eau. Combien de litres va-t-elle boire demain? + \item Si un prof écrit \quant mots en \quant minutes. Combien de temps va-t-il prendre pour écrire \quant mots? + \item \quand entrés pour le parc d'attraction coûtent \quant \euro. Cobmien coûtent \quant entrées? + \item Au goûter, Noa et son frère ouvre toujours un nouveau paquet de leur gâteaux préférés. Quand Noa en mange \quant, il en reste \quant à son frère. Combien en reste-t-il à son frère s'il en mange \quant? + \item Michel mange \quant bananes tous le jours. Combien a-t-il mangé de pommes hier? + \end{enumerate} +\end{exercise} + +\vfill + +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{2} +\vfill + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6C.pdf b/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6C.pdf new file mode 100644 index 0000000000000000000000000000000000000000..faa8aa454abf59ca929ba1124b5b602ccff6afbf GIT binary patch literal 31062 zcmce-bC4*(k~catXKdTHZQHhO+qUP7ZQHhO^NelJckbQY7yDvg#J7LEdpn{#s;jaq zDl4Pb zV;;#!N#QW+ur#S2Urfv~={S^iDJ3mVAE8!^?{3H$QQ+HgS$X)MTMO3s*3Wd9> zEEyARX`~8q>5|;I-N7M2iJU;)aqy&Rb5q zpOJZN-kvbNdg_>OmV(J}$q+@_Jr4w*EN^hoOmN|pb09wjtt_+)N8R<&X0Io>!!=%- zoaIVKE)w*eh)(w-R&noJK-eg7fpmCK*@0kw;H}^Ckk^g&-fm?ZG@GsP%gt*4tgt12qb`c-Ui=S}^}oAX0X`rH^SxKu;xo<0|7ACZm-W z)$02_vr#5zP0OxZvLanO$5BL7X{nVJk50(X`&G29&y{Y40)ohhgihkYB8FEBJvQsh 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+\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\title{Proportionnalité - Exercices} +\tribe{Sixième} +\date{Mai 2019} + +\renewcommand{\arraystretch}{1.3} +\geometry{left=15mm,right=15mm, bottom= 10mm, top=10mm} + +\pagestyle{empty} + + +\begin{document} + +\begin{exercise}[subtitle={Chez le boucher}] + Chez le boucher, le rôti de bœuf est vendu 20 € le kilogramme. + \begin{enumerate} + \item Combien pèse un rôti de bœuf qui coûte 30 € ? + \item Combien pèse un autre rôti de bœuf qui coûte 18 € ? + \end{enumerate} + + Défi : combien pèse un autre rôti de bœuf qui coûte 37 € ? +\end{exercise} + +\begin{exercise}[subtitle={Balles de tennis}] + Abdou et ses copains achètent des balles de tennis: le prix des balles est proportionnel au nombre de balles. + + Explique comment remplir le tableau. Ce travail doit se faire sans calculatrice! + + \begin{tabular}{|c|*{6}{p{1.8cm}|}} + \hline + & Abdou & Jean & Mariam & Julie & Akram & Elodie \\ + \hline + Nombre de balles & 18 & 30 & 48 & 90 & & 138 \\ + \hline + Prix (en \euro) & 33 & 55 & & & 110 & \\ + \hline + \end{tabular} +\end{exercise} + +\begin{exercise}[subtitle={Pieds et mètres}] + Aux États-Unis on ne mesure pas en mètres, mais avec des pieds (feets). 5 pieds mesurent 152,5 cm. + \begin{enumerate} + \item Combien de cm mesurent 10 pieds ? 17 pieds? 9000 pieds? + \item Combien de pieds mesurent 28 cm ? + \end{enumerate} +\end{exercise} + +\vfill + +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{2} +\vfill +\printexercise{exercise}{3} +\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 index f78b5b6..968f77c 100644 --- a/StLaurentGrandvaux/6e/Proportionnalite/index.rst +++ b/StLaurentGrandvaux/6e/Proportionnalite/index.rst @@ -39,16 +39,28 @@ Bilan: On note la question qui pose problème et on explique d'où il peut venir 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. +Cahier de bord: `Tableau des grandeurs <./E3_tbl_reconnaitre_prop.pdf>`_. -Étape 4 -======= +Étape 4: Création de problèmes +============================== Les élèves doivent créer 3 problèmes: un proportionnel, un non proportionnel et un où on ne peut pas savoir. -Étape 5 -======= +Cahier de bord: Définition d'un problème proportionnel. "Dans un problème avec 2 grandeurs, si quand on multiplie ou divise une grandeur par 2 ou 3 l'autre l'en aussi alors on dit que les grandeurs sont proportionnelles." -Banque d'exercices à finir sur la durée. (nouvelle banque?) +Étape 5: Proportionnel à quoi? +============================= + +On cherche à approfondir la notion de grandeurs proportionnelles. En utilisant les problèmes produits par les élèves, on crée des situations où les quantités ont disparues et où il faut retrouver si la situation est proportionnelle, non proportionnelle ou "on ne peut pas savoir". + +- `problèmes des 6A <./E5_grandeurs_prop_6A.pdf>`_ +- `problèmes des 6B <./E5_grandeurs_prop_6B.pdf>`_ +- `problèmes des 6C <./E5_grandeurs_prop_6C.pdf>`_ + +Étape 6: Problèmes additifs +=========================== + +On a déjà commencé à travailler la proportionnalité en questions flashs du points de vue du retour à l'unité ou avec des situations additives. On cherche maintenant à décortiquer ces situations. + +`Problèmes additifs et tableau de proprtionnalité <./E6_additif_tableau.pdf>`_