Suite des fractions avec les 3eP
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3ePasserelles/Nombres_Calculs/Fractions/fraction_quantite.pdf
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\documentclass[a5paper,11pt]{article}
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\usepackage{myXsim}
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\author{}
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\date{Novembre 2017}
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\title{Fractions de quantités}
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\tribe{Troisième}
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\begin{document}
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\begin{exercise}[subtitle={Fractions et quantités \Rep \Cal}]
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Calcul les quantités suivantes.
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\begin{multicols}{2}
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\begin{enumerate}
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\item $\dfrac{3}{4}$ de 8\euro.
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\hspace{-1.5cm}
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\includegraphics[scale=0.5]{./fig/8euros.pdf}
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\item $\dfrac{1}{2}$ de 10 étoiles.
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\hspace{-1.5cm}
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\includegraphics[scale=0.5]{./fig/10etoiles.pdf}
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\item $\dfrac{5}{3}$ de 12m.
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\hspace{-1.5cm}
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\includegraphics[scale=0.6]{./fig/12m.pdf}
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\item $\dfrac{4}{5}$ de 20 élèves.
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\item $\dfrac{25}{100}$ de 40\euro.
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\item $\dfrac{3}{5}$ de 100L.
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\item $\dfrac{3}{2}$ de 6m.
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\item $50\%$ de 10kg.
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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\begin{exercise}[subtitle={Collège de k1 \Rep \Cal}]
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Le collège de Kaweni1 a été inauguré en 1995. Dans ce collège, il y a \np{1372} élèves répartis en 4 niveau $6^e$,$5^e$,$4^e$ et $3^e$ et 80 professeurs.
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\begin{enumerate}
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\item $\dfrac{1}{3}$ des 9 agents du collège sont des femmes. Combien y a-t-il de femmes?
|
||||
\item La moitié des élèves sont des garçons, combien y a-t-il de garçons?
|
||||
\item Un quart des élèves sont en 3e. Combien d'élèves sont en 3e?
|
||||
\item Les $15\%$ des professeurs sont des profs de math. Combien y a-t-il de profs de math?
|
||||
\item $\dfrac{2}{7}$ des élèves sont des 4e. Combien y a-t-il de 4e?
|
||||
\end{enumerate}
|
||||
\end{exercise}
|
||||
\begin{exercise}[subtitle={Part du lion \Rep}]
|
||||
Abdou a 48 minutes d'étude pour travailler. Il passe $\frac{1}{6}$ du temps à s'installer, $\dfrac{1}{3}$ du temps à sortir ses affaires, $\dfirac{1}{2}$ du temps à parler et le reste du temps il travaille.
|
||||
|
||||
Combien de temps a-t-il travaillé?
|
||||
\end{exercise}
|
||||
|
||||
\end{document}
|
||||
|
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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||||
|
||||
33
3ePasserelles/Nombres_Calculs/Fractions/index.rst
Normal file
33
3ePasserelles/Nombres_Calculs/Fractions/index.rst
Normal file
@ -0,0 +1,33 @@
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||||
Redécouverte des fractions avec les 3e passerelles pour l'année 2017-2018
|
||||
#########################################################################
|
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|
||||
:date: 2017-11-13
|
||||
:modified: 2017-11-13
|
||||
:tags: Fractions
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Redécouverte des fractions et des calculs associés avec les 3ePasserelles pour l'année 2017-2018.
|
||||
|
||||
|
||||
|
||||
Étape 1
|
||||
=======
|
||||
|
||||
Comment retrouver une fraction à partir d'un partage de surface: `surfaces partagées <./surface_partagee.pdf>`_
|
||||
|
||||
Les 2 premiers sont l'occasion de rappeler/retrouver comment on construit une fraction.
|
||||
|
||||
Le troisième insiste sur le fait qu'il faut que tous les morceaux aient la même forme. Il permet souvent aussi d'avoir deux fractions candidates pour la même figure.
|
||||
|
||||
Pour le 4 et le 5, on demande aux élèves de trouver au moins 2 fractions pour représenter la surface grise.
|
||||
|
||||
Pour les deux derniers, on met des défis à celui qui trouvera la fraction avec le plus grand dénominateur ou le plus petit.
|
||||
|
||||
Étape 2
|
||||
=======
|
||||
|
||||
On commence cette étape en demandant aux élèves de créer une fraction avec quelque chose de la classe (dans l'idée est d'avoir une fraction sur la proportion de filles ou de garçons).
|
||||
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
BIN
3ePasserelles/Nombres_Calculs/Fractions/surface_partagee.pdf
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BIN
3ePasserelles/Nombres_Calculs/Fractions/surface_partagee.pdf
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