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Merge branch 'master' of ssh://git_opytex/lafrite/2018-2019

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Bertrand Benjamin
2019-05-28 21:37:49 +02:00
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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\title{DS 1}
\tribe{Cinquième}
\date{22 mai 2018}
\sujet{1}
\begin{document}
%\competencesStatement
\maketitle
\bigskip
\begin{exercise}[subtitle={Géométrie}]
\hspace{-1cm}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\item Termine le parallélogramme $ABCD$
\begin{tikzpicture}[scale=0.8]
\draw (8, 0) node[below left] {$A$}
-- (0, 0) node[above left] {$B$}
-- (2, 4) node[above left] {$C$};
\end{tikzpicture}
\end{enumerate}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\setcounter{enumi}{1}
\item Termine le parallélogramme $EFGH$
\begin{tikzpicture}[scale=0.8]
\draw (0, 0) node[below left] {$E$}
-- (2, 2) node[above left] {$F$}
-- (7, 1) node[above] {$G$};
\draw [draw=none] (0, -2.5);
\end{tikzpicture}
\end{enumerate}
\end{minipage}
\begin{enumerate}
\setcounter{enumi}{2}
\item Tracer le triangle $IJK$ tel que $IJ = 2cm$, $JK=5cm$ et $IK=4cm$.
\vspace{4cm}
\end{enumerate}
\end{exercise}
\begin{exercise}[subtitle={Problèmes}]
\begin{enumerate}
\item Chez un boucher, 800g de viande coûtent 12\euro. Combien va coûter 600g de viande?
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
\item Du haut d’un viaduc, Xavier s’élance dans le vide, les pieds attachés à un élastique.Il descend de 25 m, remonte de 12m, redescend de 8m, remonte de 3m, redescend de 1 m et remonte de 0,5 m. Calculer à combien de mètres sous le viaduc Xavier s’est immobilisé.
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
\item Auguste, l'empereur romain, est né en -63 et est décédé en -27. Combien de temps a-t-il vécu?
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
\end{enumerate}
\end{exercise}
\begin{exercise}[subtitle={Relatifs}]
Pour calculer les bénéfices d'une entreprise, on fait la \textbf{différence} entre les profits et les coûts. Voici les données concernant quelques entreprises.
\begin{tabular}{|c|*{2}{p{2cm}|}p{7cm}|}
\hline
& Profits & Coûts & Bénéfices \\
\hline
Gagnepeu & 5 & 10 & \\
\hline
Bossebien & 45 & 20 & \\
\hline
Bienfait & 65 & 83 & \\
\hline
Parletoujours & 5,7 & 8,3 & \\
\hline
\end{tabular}
\begin{enumerate}
\item Complète le tableau en indiquant les calculs faits.
\item Classe les entreprises par ordre croissant de leurs bénéfices.
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill
\end{enumerate}
\end{exercise}
\begin{exercise}[subtitle={Bataille}]
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[scale=0.8]
\filldraw[very thick, ->] (-5.5,0) -- (5.5,0);
\filldraw[very thick, ->] (0,-5.5) -- (0,5.5);
\draw[step=1] (-5,-5) grid (5,5);
\draw (3, 4) node {x} node[above left] {$A$};
\draw (-3, 1) node {x} node[above left] {$B$};
\draw (0, -4) node {x} node[above left] {$C$};
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{enumerate}
\item Décrire précisément la position des points:
\begin{itemize}
\item $A$ \dotfill
\item $B$ \dotfill
\item $C$ \dotfill
\end{itemize}
\item Placer les points sur le repère.
\begin{itemize}
\item $L (4;2)$
\item $M (-3;-2)$
\end{itemize}
\end{enumerate}
\end{minipage}
\end{exercise}
\begin{exercise}[subtitle={Calculs}]
Faire les calculs en détaillant les étapes.
\vfill
$56 - 8 \times 5 = $
\vfill
$\dfrac{2}{5} + \dfrac{3}{5} = $
\vfill
$\dfrac{1}{2} + \dfrac{3}{4} = $
\vfill
\end{exercise}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\title{DS 1}
\tribe{Cinquième}
\date{22 mai 2018}
\sujet{2}
\begin{document}
%\competencesStatement
\maketitle
\bigskip
\begin{exercise}[subtitle={Relatifs}]
Pour calculer les bénéfices d'une entreprise, on fait la \textbf{différence} entre les profits et les coûts. Voici les données concernant quelques entreprises.
\begin{tabular}{|c|*{2}{p{2cm}|}p{7cm}|}
\hline
& Profits & Coûts & Bénéfices \\
\hline
Gagnepeu & 6 & 13 & \\
\hline
Bossebien & 54 & 30 & \\
\hline
Bienfait & 74 & 81 & \\
\hline
Parletoujours & 4,2 & 6,3 & \\
\hline
\end{tabular}
\begin{enumerate}
\item Complète le tableau en indiquant les calculs faits.
\item Classe les entreprises par ordre croissant de leurs bénéfices.
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill
\end{enumerate}
\end{exercise}
\begin{exercise}[subtitle={Bataille}]
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[scale=0.8]
\filldraw[very thick, ->] (-5.5,0) -- (5.5,0);
\filldraw[very thick, ->] (0,-5.5) -- (0,5.5);
\draw[step=1] (-5,-5) grid (5,5);
\draw (1, 2) node {x} node[above left] {$A$};
\draw (2, -3) node {x} node[above left] {$B$};
\draw (-3, 0) node {x} node[above left] {$C$};
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{enumerate}
\item Décrire précisément la position des points:
\begin{itemize}
\item $A$ \dotfill
\item $B$ \dotfill
\item $C$ \dotfill
\end{itemize}
\item Placer les points sur le repère.
\begin{itemize}
\item $L (3;4)$
\item $M (3;-2)$
\end{itemize}
\end{enumerate}
\end{minipage}
\end{exercise}
\begin{exercise}[subtitle={Problèmes}]
\begin{enumerate}
\item Chez un boucher, 900g de viande coûtent 21\euro. Combien va coûter 600g de viande?
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
\item Du haut d’un viaduc, Xavier s’élance dans le vide, les pieds attachés à un élastique. Il descend de 35 m, remonte de 12m, redescend de 8m, remonte de 3m, redescend de 1 m et remonte de 0,5 m. Calculer à combien de mètres sous le viaduc Xavier s’est immobilisé.
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
\item Alexandre le Grand, est né en -356 et est décédé en -323. Combien d'années a-t-il vécu?
\\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
.\dotfill \\[0.2cm]
\end{enumerate}
\end{exercise}
\begin{exercise}[subtitle={Calculs}]
Faire les calculs en détaillant les étapes.
\vfill
$51 - 7 \times 6= $
\vfill
$\dfrac{5}{7} + \dfrac{3}{7} = $
\vfill
$\dfrac{3}{2} + \dfrac{1}{4} = $
\vfill
\end{exercise}
\begin{exercise}[subtitle={Géométrie}]
\hspace{-1cm}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\item Termine le parallélogramme $ABCD$
\begin{tikzpicture}[scale=0.8]
\draw (8, 0) node[below left] {$A$}
-- (0, 0) node[above left] {$B$}
-- (2, 4) node[above left] {$C$};
\end{tikzpicture}
\end{enumerate}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\setcounter{enumi}{1}
\item Termine le parallélogramme $EFGH$
\begin{tikzpicture}[scale=0.8]
\draw (0, 0) node[below left] {$E$}
-- (2, 2) node[above left] {$F$}
-- (7, 1) node[above] {$G$};
\draw [draw=none] (0, -2.5);
\end{tikzpicture}
\end{enumerate}
\end{minipage}
\begin{enumerate}
\setcounter{enumi}{2}
\item Tracer le triangle $IJK$ tel que $IJ = 2cm$, $JK=5cm$ et $IK=4cm$.
\vspace{4cm}
\end{enumerate}
\end{exercise}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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2
StLaurentGrandvaux/5e/Probabilite/index.rst
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@@ -19,7 +19,7 @@ Seul chaque élève écrit un texte sur ce qu'il pense d'une des 3 affirmations.
D'autres plénières permettrons ensuite de débattre des autres affirmations. Dès qu'un groupe évoque les fractions on essaiera d'orienter le débat dans cette direction.
Cahier de bord: La situation de Djelane avec l'explication des élèves justifiant qu'il a bien une chance sur 2 de gagner. On ajoutera que les mathématiciens ont inventé les probabilités pour mesurer le hasard et essayer de le contrôler.
Cahier de bord: À partir des `réponses des élèves <./B1_definition.pdf>`_ on construit un bilan où l'on définit la probabilité.
Étape 2: D'autres comparaisons d'expériences aléatoires
=======================================================

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\documentclass[a4paper,10pt]{classPres}
\usepackage{tkz-fct}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\huge 30 secondes par calcul
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
\huge
Position de $A$
\begin{center}
\begin{tikzpicture}[scale=0.8]
\filldraw[very thick, ->] (-3.3,0) -- (3.3,0);
\filldraw[very thick, ->] (0,-3.3) -- (0,3.3);
\draw[step=1] (-3,-3) grid (3,3);
\draw (2, 1) node {x} node[above left] {$A$};
\foreach \x in {-3,...,3} {%
\draw (\x, 0) node[below] {\small \x};
\draw (0, \x) node[left ] {\small \x};
}
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Calcul 2}
\huge
Si $x = 2$, alors
\[
3x + 5 =
\]
\end{frame}
\begin{frame}{Calcul 3}
\huge
\[
-5 + 3 =
\]
\end{frame}
\begin{frame}{Calcul 4}
\huge
Combien vaut les $\dfrac{3}{5}$ de 10?
\begin{center}
\begin{tikzpicture}[scale=2]
\foreach \x in {1,...,5} {%
\draw (\x,0) circle (0.4cm) node {\icon{cursed-star}};
\draw (\x,1) circle (0.4cm) node {\icon{cursed-star}};
}
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Fin}
\begin{center}
\huge On retourne son papier.
\end{center}
\end{frame}
\end{document}

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StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-2.tex Executable file
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\documentclass[a4paper,10pt]{classPres}
\usepackage{tkz-fct}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\huge 30 secondes par calcul
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
\huge
Position de $A$
\begin{center}
\begin{tikzpicture}[scale=0.8]
\filldraw[very thick, ->] (-3.3,0) -- (3.3,0);
\filldraw[very thick, ->] (0,-3.3) -- (0,3.3);
\draw[step=1] (-3,-3) grid (3,3);
\draw (-2, 1) node {x} node[above left] {$A$};
\foreach \x in {-3,...,3} {%
\draw (\x, 0) node[below] {\small \x};
\draw (0, \x) node[left ] {\small \x};
}
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Calcul 2}
\huge
Si $x = 3$, alors
\[
5 + 6x =
\]
\end{frame}
\begin{frame}{Calcul 3}
\huge
\[
-4 + 5 =
\]
\end{frame}
\begin{frame}{Calcul 4}
\huge
Combien vaut les $\dfrac{1}{3}$ de 12?
\end{frame}
\begin{frame}{Fin}
\begin{center}
\huge On retourne son papier.
\end{center}
\end{frame}
\end{document}

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StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.tex Executable file
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\documentclass[a4paper,10pt]{classPres}
\usepackage{tkz-fct}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Questions flashs}
\begin{center}
\huge 30 secondes par calcul
\end{center}
\end{frame}
\begin{frame}{Calcul 1}
\huge
Position de $A$
\begin{center}
\begin{tikzpicture}[scale=0.8]
\filldraw[very thick, ->] (-3.3,0) -- (3.3,0);
\filldraw[very thick, ->] (0,-3.3) -- (0,3.3);
\draw[step=1] (-3,-3) grid (3,3);
\draw (2, -1) node {x} node[above left] {$A$};
\foreach \x in {-3,...,3} {%
\draw (\x, 0) node[below] {\small \x};
\draw (0, \x) node[left ] {\small \x};
}
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Calcul 2}
\huge
Si $x = 5$, alors
\[
2 + 4x =
\]
\end{frame}
\begin{frame}{Calcul 3}
\huge
\[
-3 + 5 =
\]
\end{frame}
\begin{frame}{Calcul 4}
\huge
Combien vaut les $\dfrac{3}{4}$ de 12?
\begin{center}
\begin{tikzpicture}[scale=2]
\foreach \x in {1,...,6} {%
\draw (\x,0) circle (0.4cm) node {\icon{cursed-star}};
\draw (\x,1) circle (0.4cm) node {\icon{cursed-star}};
}
\end{tikzpicture}
\end{center}
\end{frame}
\begin{frame}{Fin}
\begin{center}
\huge On retourne son papier.
\end{center}
\end{frame}
\end{document}