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zo9uAY(P}FfY-q&oStWeakh}iS=iME1q`%!rilcmm8OH#_8ah~oPCbxmR(zaOWmre9 zpkIu>{`@rf(1XQ{F)#QvS|dH=?kW?qtvG0JnIPyNFeB_SVId?o(E)Lv=rn*#Q*)F) ze*M71Khg=`6W=+MUAr0^lYVMO7zV}(qY}BU*@q7YGSO0al$P^5T V63IGP0FWpoOC>`=!Q9RQ@K1O&FiZdd literal 0 HcmV?d00001 diff --git a/4e/05_Proportionnalite/3E_reco_calculs.tex b/4e/05_Proportionnalite/3E_reco_calculs.tex new file mode 100644 index 0000000..e0fdc60 --- /dev/null +++ b/4e/05_Proportionnalite/3E_reco_calculs.tex @@ -0,0 +1,23 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Proportionnalite - Exercices} +\date{2021-11-08} + +\DeclareExerciseCollection[step=3]{banque} +\xsimsetup{ + collect +} + + +\begin{document} +\input{exercises.tex} + +\setcounter{exercise}{4} +\printcollection{banque} +\vfill +\printcollection{banque} +\vfill + +\end{document} diff --git a/4e/05_Proportionnalite/exercises.tex b/4e/05_Proportionnalite/exercises.tex index f7907d9..84fbde0 100644 --- a/4e/05_Proportionnalite/exercises.tex +++ b/4e/05_Proportionnalite/exercises.tex @@ -54,3 +54,35 @@ \end{enumerate} \end{exercise} +\begin{exercise}[subtitle={Situations \Cal \Rai}, step={3}, origin={Des vielles choses}, topics={ Proportionnalite }, tags={ Proportionnalité }] + Pour chacune des situations suivantes dire s'il est possible de trouver la quantité demandée. + \begin{enumerate} + \item Une boite de 20 punaises coûte 1,30\euro tandis qu'une boite de 50 coûte 3,25\euro. On souhaite connaître le prix d'une boite de 80 punaises. + \item On a indiqué le prix des clés USB relevés dans un magasin dans le tableau ci-dessous. On souhaite connaître la valeur manquante. + + \begin{center} + \begin{tabular}{|c|*{4}{p{2cm}|}} + \hline + Capacité (en Go) & 16 & 32 & 64 & 128 \\ + \hline + Prix (en \euro) & 5.20 & & 15.60 & 20.80\\ + \hline + \end{tabular} + \end{center} + \item On a relevé la distance d'arrêt d'une voiture sur route sèche en fonction de sa vitesse. On souhaite savoir la valeur manquante + \begin{center} + \begin{tabular}{|c|*{4}{p{2cm}|}} + \hline + Vitesse (en km/h)& 20& 50 & 80 & 110 \\ + \hline + Distance d'arrêt (en m) & & 25 & 64 & 121\\ + \hline + \end{tabular} + \end{center} + \item Pendant les vacances, Bob a loué un vélo pour 4 jours. Cela lui a coûté 29\euro. Son amie, Hafsa a loué le même vélo pour 9 jours et ça lui a coûté 65,25\euro. + + Julie se demande combien va-t-elle devoir payer pour 15jours de location. + \end{enumerate} + \bigskip + Quand il est possible de trouver la quantité demandée trouver deux méthodes différentes pour la calculer. +\end{exercise} diff --git a/4e/05_Proportionnalite/index.rst b/4e/05_Proportionnalite/index.rst index 7a7a3e0..e330820 100644 --- a/4e/05_Proportionnalite/index.rst +++ b/4e/05_Proportionnalite/index.rst @@ -2,7 +2,7 @@ Proportionnalite ################ :date: 2021-10-05 -:modified: 2021-10-14 +:modified: 2021-11-08 :authors: Benjamin Bertrand :tags: Proportionnalité :category: 4e @@ -29,3 +29,17 @@ On insistera sur les grandeurs avant de passer aux exercices qui suivent. ======================================= On donne des tableaux de valeurs aux élèves. Ils doivent construire une représentation graphiques et étudier si oui ou non la situation semble proportionnelle. + +.. image:: ./2E_representation_graphique.pdf + :height: 200px + :alt: + +Bilan: écrit sur les conditions pour savoir graphiquement si la situation est une situation de proportionnalité. + +Étape 3: reconnaître un situation et les calculs +================================================ + +.. image:: ./3E_reco_calculs.pdf + :height: 200px + :alt: Reconnaître les situations et diversifier les calculs +