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+\begin{document} + +\input{exercises.tex} + +\printcollection{banque} +\vfill +\printcollection{banque} +\vfill + +\end{document} diff --git a/2nd/02_Information_chiffree_1/exercises.tex b/2nd/02_Information_chiffree_1/exercises.tex index c25d1a2..ade31a8 100644 --- a/2nd/02_Information_chiffree_1/exercises.tex +++ b/2nd/02_Information_chiffree_1/exercises.tex @@ -1,10 +1,35 @@ -\collectexercises{banque} -\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={ Information chiffree 1 }, tags={ Proportion, Taux d'évolution. }] +\begin{exercise}[subtitle={Mystère}, step={1}, origin={<++>}, topics={ Information chiffrée 1 }, tags={ Proportion }] <++> \end{exercise} -\begin{solution} - <++> -\end{solution} +\begin{exercise}[subtitle={Fumeur ou pas}, step={2}, origin={Aucune idée!}, topics={ Information chiffrée 1 }, tags={ Proportion, Vrai/Faux }] + On interroge \np{1500} jeunes ayant entre 14 et 18ans pour savoir s'ils fument et si au moins l'un de leurs parents fume. Ils représentent 20\% de la population d'un ville. -\collectexercisesstop{banque} + Les résultats de l'enquête sont consignés dans le tableau suivant. + \begin{center} + \begin{tabular}{|>{\columncolor{highlightbg}}c|*{2}{p{4cm}|}|p{4cm}|} + \hline + \rowcolor{highlightbg} + & Fumeur & Non fumeur & Total\\ + \hline + Au moins un parent fumeur & 300 & 300 & 600\\ + \hline + Aucun parent fumeur & 200 & 700 & 900\\ + \hline + Total &500 & \np{1000} & \np{1500}\\ + \hline + \end{tabular} + \end{center} + Pour chacune des phrases suivantes, justifier si elles sont vraies ou fausses. + \begin{enumerate} + \item Plus de 30\% des jeunes sont fumeurs. + \item Les deux tiers des jeunes ont aucun parent fumeur. + \item Moins de 10\% des jeunes sont fumeurs et n'ont pas de parents fumeurs. + \item Il y a environ un jeune sur cinq qui est non fumeur et dont un des parents est fumeur. + \item Le jeune est plus souvent fumeur quand un de ses parents l'est que quand aucun des deux ne l'est. + \item Parmi les jeunes non fumeurs, plus de 25\% ont un des deux parents fumeur. + \item La proportion des jeunes qui sont fumeurs ou qui ont un parent fumeur est de plus de 0.7. + \item \dure La ville a une population totale de \np{7500} habitants. + \end{enumerate} + +\end{exercise} diff --git a/2nd/02_Information_chiffree_1/index.rst b/2nd/02_Information_chiffree_1/index.rst index 46ba1ca..7677b14 100644 --- a/2nd/02_Information_chiffree_1/index.rst +++ b/2nd/02_Information_chiffree_1/index.rst @@ -21,6 +21,22 @@ Le but est d'arriver au calcul et aux différentes représentations du résultat Un tableau avec des valeurs (ou une liste de données) et des questions de vrai/faux à justifier. +.. image:: ./2E_tableaux.pdf + :height: 200px + :alt: Vrai/Faux sur un tableau de valeurs + + +Une travail initial de 5minutes est dédié au travail individuel. Les élèves doivent lire toutes les questions donner un premier avis intuitif sur chacune d'entre elle et commencer à justifier celles qui leur semblent simples. + +Le travail individuel est interrompu pour faire une plénière et répondre aux questions de compréhension (pas de méthode). Les questions sur les pourcentages et les fractions ne sont pas répondues mais on assure aux élèves que c'est le cœur de l'exercice et que c'est sur ce point que l'on veut qu'ils travaillent. + +Les élèves poursuivent le travail en groupe et l'on insiste sur le fait que chaque réponse doit être justifiée par un calcul ou un raisonnement. + + + + +Remarque: cette étape pourra être reprise et approfondis en particulier du point de vu des notations mathématiques dans le chapitre sur les ensembles. + Étape 3: Automatisation d'un calcul ===================================