import work from year 2015-2016

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Benjamin Bertrand
2017-06-16 09:48:54 +03:00
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Réfléctions autour de la base 10
################################
:date: 2015-11-13
:modified: 2015-11-13
:category: 5eP
:tags: Nombres et calculs
:authors: Bertrand Benjamin
:summary: Réflexions pour que les élèves arrête de compter avec des bâtonnets.
Outils
======
- Regrouper par paquet
- Compter avec des sauts réguliers
- Additionner avec des dizaines des centaines
- Placer les nombres sur une droite
- Exercices autour du sens des calculs
Progression
===========
Dégrossissement
---------------
Défi calcul: compter le plus vite possible des petits carrés (bien rangés avec des paquets de 10). On commence avec un papier distribué et projeté au tableau. Quand tout le monde a tout compter, on demande les astuces pour les compter le plus vite possible. On extrait la notion de dizaine et d'unité.
On recommence avec uniquement l'image projeté pour que les compter un par un soit désagréable.
On s'entraine sur la durée à ce genre de chose.
Petit à petit on dérange les barres et les carrés pour amener l'addition posée.
Le boulier
----------
On se construit un boulier

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\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/Archive/2015-2016/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2015-2016/2015_2016}
% Title Page
\titre{Grille calcul mental}
% \seconde \premiereS \PSTMG \TSTMG
\classe{5e passerelle}
\date{Mars 2016}
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Notes sur le calucl mental avec les 5e passerelle
####################################################
:date: 2016-07-12
:modified: 2016-07-12
:category: 5eP
:tags: Calcul mental
:authors: Bertrand Benjamin
:summary: Le calcul mental avec les 5e passerelle.
Le calcul mental est devenu au cours de l'année un rituel de début de court. Les élèves distribuaient les cahiers puis sortaient le `cahier de calcul mental <./1Livretlve.pdf>`_. Et c'était parti pour 10 calculs à faire.
La correction était commune, j'étais au tableau et les élèves donnaient les réponses.
Voici le genre de calcul mental que je leurs proposait (je mixais le plus souvent différentes formes et je faisais en sorte que tous les élèves pouvaient faire ces calculs).
- *Dicté de nombre* (inférieurs à 100, puis jusqu'à 1 million, puis avec les millions). La correction est très amusante surtout quand on en donne avec des 0 au milieu. On écrit les propositions de chacun et on valide (collectivement ou non) chaque réponse. C'est l'occasion de leurs faire comprendre l'importance de mettre des espaces pour les grands nombres.
- *Additions, soustraction et multiplications*. On peut insister sur un certain type à chaque fois (comme ajouter des centaines ou certaines tables de multiplications...). À la fin de l'année, on a même pu enchainer plusieurs opérations simples.
- *Opération à trou* du genre "trois plus quelque chose égal à onze". Ça permet de varier des opérations classiques, de renforcer les automatismes et de 'initier les équations.
- *Des problèmes de temps* du genre combien y a-t-il de minutes dans une heure.
Ce genre d'activité en début de court avait la qualité de les calmer et de les mettre au travail.

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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
% Title Page
\titre{Évaluation de début d'année}
% \seconde \premiereS \PSTMG \TSTMG
\classe{502}
\date{2 septembre 2015}
\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Other
\typedoc{Other}
\begin{document}
\maketitle
\begin{questions}
\question
~\\
\begin{multicols}{2}
\begin{parts}
\part Combien y a-t-il de points?
\begin{center}
\includegraphics[scale=0.2]{fig/points1}
\end{center}
Il y a \parbox{2cm}{\dotfill} points.
\part Combien y a-t-il de points?
\begin{center}
\includegraphics[scale=0.2]{fig/points2}
\end{center}
Il y a \parbox{2cm}{\dotfill} points.
\end{parts}
\end{multicols}
\question
\begin{parts}
\part Complète en comptant de 10 en 10
\begin{center}
\begin{tabular}{|p{2cm}|*{5}{p{2cm}|}}
\hline
12 & 22 & & & & \\
\hline
\end{tabular}
\end{center}
\part Complète en comptant de 100 en 100
\begin{center}
\begin{tabular}{|p{2cm}|*{5}{p{2cm}|}}
\hline
14 & 114 & & & & \\
\hline
\end{tabular}
\end{center}
\end{parts}
\question
\begin{parts}
\part Range les nombres du plus petit au plus grand
\begin{center}
\begin{tabular}{p{2cm}*{4}{p{2cm}}}
741 & 147 & 714 & 174 & 471
\end{tabular}
\begin{tabular}{|p{2cm}|*{4}{p{2cm}|}}
\hline
&&&& \\
\hline
\end{tabular}
\end{center}
\part Range les nombres du plus grand au plus petit
\begin{center}
\begin{tabular}{p{2cm}*{4}{p{2cm}}}
356 & 215 & 162 & 351 & 26
\end{tabular}
\begin{tabular}{|p{2cm}|*{4}{p{2cm}|}}
\hline
&&&& \\
\hline
\end{tabular}
\end{center}
\end{parts}
\question
~\\
Relie les nombres et les écritures
\begin{minipage}[c]{0.4\textwidth}
\flushright
$ 13 \qquad \bullet$ \\[0.3cm]
$ 42 \qquad \bullet$ \\[0.3cm]
$ 173 \qquad \bullet$ \\[0.3cm]
$ 92 \qquad \bullet$ \\[0.3cm]
$ 473 \qquad \bullet$ \\[0.3cm]
\end{minipage}
\hspace{2cm}
\begin{minipage}[c]{0.6\textwidth}
\begin{itemize}
\item Treize
\item Quarante deux
\item Cent soixante treize
\item Quatre vingt douze
\item Quatre cent soixante treize
\item Cent soixante douze
\end{itemize}
\end{minipage}
\question
Faire les calculs suivants:
\begin{multicols}{2}
\begin{itemize}
\item $13 + 7 = $
\\[2cm]
\item $43 + 22 = $
\\[2cm]
\item $11 + 12 + 10 = $
\\[2cm]
\item $135 + 246 = $
\\[2cm]
\item $18 - 4 = $
\\[2cm]
\item $57 - 21 = $
\\[2cm]
\item $72 - 34 = $
\\[2cm]
\item $3 \times 7 = $
\\[2cm]
\item $5 \times 13 = $
\\[2cm]
\item $22 \times 24 = $
\\[2cm]
\end{itemize}
\end{multicols}
\question
\begin{parts}
\part Omar achète 12 mangues et 9 oranges. Combien de fruits a-t-il acheté ?
~\\[2cm]
\part Ben-Hamed achète 7€ de pains. Il paye avec un billet de 20€. Combien d'argent lui reste-t-il ?
~\\[2cm]
\part Un ananas coûte 3\euro. Combien coûtent 7 ananas?
\end{parts}
\question
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
% Title Page
\titre{Évaluation de début d'année}
% \seconde \premiereS \PSTMG \TSTMG
\classe{502 - 1}
\date{9 septembre 2015}
\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Other
\typedoc{Other}
\begin{document}
\maketitle
\begin{questions}
\question
~\\[0.5cm]
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\begin{minipage}{0.9\textwidth}
\begin{parts}
\begin{multicols}{2}
\part Combien y a-t-il de points?
\begin{center}
\includegraphics[scale=0.2]{fig/points_t_18.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} points.
\part Combien y a-t-il de points?
\begin{center}
\includegraphics[scale=0.2]{fig/points_22.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} points.
\end{multicols}
\begin{multicols}{2}
\part Combien y a-t-il de bâtons?
\begin{center}
\includegraphics[scale=0.2]{./fig/batons_t_23.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} bâtons.
\part Combien y a-t-il de bâtons?
\begin{center}
\includegraphics[scale=0.2]{./fig/batons_17.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} bâtons.
\end{multicols}
\end{parts}
\end{minipage}
\question
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\begin{minipage}{0.4\textwidth}
~\\
Ranger du plus petit au plus grand
~\\
\begin{parts}
\part
\begin{center}
4;\hfill 10; \hfill 6; \hfill 34; \hfill21
\end{center}
~\\
\parbox{\textwidth}{\dotfill}
~\\[-0.5cm]
\part
\begin{center}
514;\hfill 154; \hfill 145
\end{center}
~\\
\parbox{\textwidth}{\dotfill}
~\\[-0.5cm]
\end{parts}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.4\textwidth}
\includegraphics[scale=0.5]{../../Divers/Consignes/ranger_petit_grand.pdf}
\end{minipage}
\question
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\begin{minipage}{0.4\textwidth}
~\\
Écrire en chiffre les nombres suivants
\begin{itemize}
\item Neuf \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
~\\
\item Quarante deux \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
~\\
\item Cinquante six \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
~\\
\item Deux cent vingt \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
\end{itemize}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.4\textwidth}
\includegraphics[scale=0.5]{../../Divers/Consignes/ecrire_chiffre.pdf}
\end{minipage}
\clearpage
\question
~\\
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.9\textwidth}
Calculer
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\poseOP{46}{+}{37}
\poseOP{56}{+}{57}
\textls{
$\begin{array}{cr}
& 13 \\[-0.3cm]
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\question
~\\
\newcommand{\trefle}{\includegraphics[scale = 0.1]{./fig/trefle.pdf}}
\newcommand{\coeur}{\includegraphics[scale = 0.1]{./fig/coeur.pdf}}
\newcommand{\carreau}{\includegraphics[scale = 0.1]{./fig/carreau.pdf}}
\newcommand{\pique}{\includegraphics[scale = 0.1]{./fig/pique.pdf}}
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.8\textwidth}
On a
\begin{center}
\hfill \trefle = 1 point
\hfill \pique = 2 points
\hfill \carreau = 5 points
\hfill \coeur = 10 points
\hfill
\end{center}
~\\
\begin{parts}
\part Abdou a \trefle \trefle \trefle. Il a donc \parbox{2cm}{\dotfill} points.
\part Fatima a \trefle \trefle \pique. Il a donc \parbox{2cm}{\dotfill} points.
\part Jean a \trefle \pique \carreau \coeur. Il a donc \parbox{2cm}{\dotfill} points.
\part Said a \pique \pique \carreau \coeur. Il a donc \parbox{2cm}{\dotfill} points.
\end{parts}
\end{minipage}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
% Title Page
\titre{Évaluation de début d'année}
% \seconde \premiereS \PSTMG \TSTMG
\classe{502 - 2}
\date{9 septembre 2015}
\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Other
\typedoc{Other}
\begin{document}
\maketitle
\begin{questions}
\question
~\\[0.5cm]
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\begin{minipage}{0.9\textwidth}
\begin{parts}
\begin{multicols}{2}
\part Combien y a-t-il de points?
\begin{center}
\includegraphics[scale=0.2]{fig/points_t_22.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} points.
\part Combien y a-t-il de points?
\begin{center}
\includegraphics[scale=0.2]{fig/points_18.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} points.
\end{multicols}
\begin{multicols}{2}
\part Combien y a-t-il de bâtons?
\begin{center}
\includegraphics[scale=0.2]{./fig/batons_t_24.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} bâtons.
\part Combien y a-t-il de bâtons?
\begin{center}
\includegraphics[scale=0.2]{./fig/batons_19.pdf}
\end{center}
Il y a \parbox{2cm}{\dotfill} bâtons.
\end{multicols}
\end{parts}
\end{minipage}
\question
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\begin{minipage}{0.4\textwidth}
~\\
Ranger du plus petit au plus grand
~\\
\begin{parts}
\part
\begin{center}
2;\hfill 11; \hfill 8; \hfill 22; \hfill 43
\end{center}
~\\
\parbox{\textwidth}{\dotfill}
~\\[-0.5cm]
\part
\begin{center}
613;\hfill 163; \hfill 163
\end{center}
~\\
\parbox{\textwidth}{\dotfill}
~\\[-0.5cm]
\end{parts}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.4\textwidth}
\includegraphics[scale=0.5]{../../Divers/Consignes/ranger_petit_grand.pdf}
\end{minipage}
\question
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\begin{minipage}{0.4\textwidth}
~\\
Écrire en chiffre les nombres suivants
\begin{itemize}
\item Trois \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
~\\
\item Dix-huit \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
~\\
\item Soixante quatre \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
~\\
\item Trois cent quarante \hfill $\rightarrow$ \hfill \parbox{1cm}{\dotfill}
\end{itemize}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.4\textwidth}
\includegraphics[scale=0.5]{../../Divers/Consignes/ecrire_chiffre.pdf}
\end{minipage}
\clearpage
\question
~\\
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.9\textwidth}
Calculer
\begin{multicols}{4}
\poseOP{42}{+}{15}
\poseOP{36}{+}{48}
\poseOP{66}{+}{59}
\textls{
$\begin{array}{cr}
& 11 \\[-0.3cm]
+ & 24 \\[-0.3cm]
+ & 34 \\
\hline
&
\end{array}$}
\end{multicols}
\end{minipage}
\question
~\\
\newcommand{\trefle}{\includegraphics[scale = 0.1]{./fig/trefle.pdf}}
\newcommand{\coeur}{\includegraphics[scale = 0.1]{./fig/coeur.pdf}}
\newcommand{\carreau}{\includegraphics[scale = 0.1]{./fig/carreau.pdf}}
\newcommand{\pique}{\includegraphics[scale = 0.1]{./fig/pique.pdf}}
\begin{minipage}{0.05\textwidth}
\includegraphics[scale=0.05]{../../Divers/Consignes/point_interogation.pdf}
\end{minipage}
\hspace{0.5cm}
\begin{minipage}{0.8\textwidth}
On a
\begin{center}
\hfill \trefle = 1 point
\hfill \pique = 2 points
\hfill \carreau = 5 points
\hfill \coeur = 10 points
\hfill
\end{center}
~\\
\begin{parts}
\part Abdou a \trefle \trefle \trefle. Il a donc \parbox{2cm}{\dotfill} points.
\part Fatima a \trefle \pique \pique. Il a donc \parbox{2cm}{\dotfill} points.
\part Said a \pique \pique \carreau \carreau. Il a donc \parbox{2cm}{\dotfill} points.
\part Jean a \trefle \pique \carreau \coeur. Il a donc \parbox{2cm}{\dotfill} points.
\end{parts}
\end{minipage}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
% Title Page
\titre{Évaluation opérations}
% \seconde \premiereS \PSTMG \TSTMG
\classe{502}
\date{16 septembre 2015}
%\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Other
\typedoc{Other}
\begin{document}
\maketitle
\begin{questions}
\question
Fait les opérations suivantes
\begin{multicols}{2}
\begin{itemize}
\item $3 + 4 = $
\item \poseOP{13}{+}{17}
\item
\textls{
$\begin{array}{cr}
& 42 \\[-0.3cm]
+ & 20 \\[-0.3cm]
+ & 45 \\
\hline
&
\end{array}$}
\item $6 + 9 = $
\item \poseOP{81}{+}{57}
\item
\textls{
$\begin{array}{cr}
& 27 \\[-0.3cm]
+ & 25 \\[-0.3cm]
+ & 53 \\
\hline
&
\end{array}$
}
\end{itemize}
\end{multicols}
\question
Fait les opérations suivantes
\begin{multicols}{2}
\begin{itemize}
\item $9 - 5 = $
\item \poseOP{76}{-}{23}
\item $27 - 8 = $
\item \poseOP{74}{-}{55}
\end{itemize}
\end{multicols}
\question
Fait les opérations suivantes
\begin{multicols}{2}
\begin{itemize}
\item $6 \times 2 = $
\item $4 \times 10 = $
\item \poseOP{20}{\times}{4}
\item \poseOP{11}{\times}{12}
\columnbreak
\item $8 \times 5 = $
\item $3 \times 0 = $
\item \poseOP{23}{\times}{3}
\item \poseOP{46}{\times}{20}
\end{itemize}
\end{multicols}
\question
\begin{parts}
\part Omar achète 14 mangues et 8 oranges. Combien de fruits a-t-il acheté ?
~\\[2cm]
.\dotfill
~\\[0.5cm]
\part Ben-Hamed achète 8€ de pains. Il paye avec un billet de 20€. Combien d'argent lui reste-t-il ?
~\\[2cm]
.\dotfill
~\\[0.5cm]
\part Un ananas coûte 3\euro. Combien coûtent 6 ananas?
~\\[2cm]
.\dotfill
~\\[0.5cm]
\end{parts}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
% Title Page
\titre{Évaluation opérations}
% \seconde \premiereS \PSTMG \TSTMG
\classe{502}
\date{16 septembre 2015}
%\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Other
\typedoc{Other}
\begin{document}
\maketitle
\begin{questions}
\question
Fait les opérations suivantes
\begin{multicols}{2}
\begin{itemize}
\item $4 + 5 = $
\item \poseOP{24}{+}{13}
\item
\textls{
$\begin{array}{cr}
& 40 \\[-0.3cm]
+ & 23 \\[-0.3cm]
+ & 36 \\
\hline
&
\end{array}$}
\item $6 + 8 = $
\item \poseOP{82}{+}{67}
\item
\textls{
$\begin{array}{cr}
& 27 \\[-0.3cm]
+ & 24 \\[-0.3cm]
+ & 36 \\
\hline
&
\end{array}$
}
\end{itemize}
\end{multicols}
\question
Fait les opérations suivantes
\begin{multicols}{2}
\begin{itemize}
\item $7 - 5 = $
\item \poseOP{74}{-}{32}
\item $22 - 8 = $
\item \poseOP{94}{-}{57}
\end{itemize}
\end{multicols}
\question
Fait les opérations suivantes
\begin{multicols}{2}
\begin{itemize}
\item $4 \times 2 = $
\item $8 \times 10 = $
\item \poseOP{40}{\times}{5}
\item \poseOP{13}{\times}{11}
\columnbreak
\item $7 \times 5 = $
\item $9 \times 0 = $
\item \poseOP{32}{\times}{3}
\item \poseOP{46}{\times}{21}
\end{itemize}
\end{multicols}
\question
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\part Un ananas coûte 3\euro. Combien coûtent 7 ananas?
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Notes autour des frises en 5e passerelle
########################################
:date: 2016-01-12
:modified: 2016-01-12
:category: 5eP
:tags: geometrie
:authors: Bertrand Benjamin
:summary: Travaux autour des frises pour faire de la géométrie et s'appliquer à faire un travail soigné.
Sources
=======
http://zoutils.ek.la/frises-a2454020

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\documentclass[a4paper,12pt]{/media/documents/Cours/Prof/Enseignements/Archive/2015-2016/tools/style/classExo}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2015-2016/2015_2016}
% Title Page
\titre{Géométrie - Exercices}
% \seconde \premiereS \PSTMG \TSTMG
\classe{502}
\date{septembre 2015}
\begin{document}
\begin{Exo}
Reproduit le la figure de gauche dans le rectangle à droite.
\includegraphics[scale=0.8]{./fig/repro_rectangle}
\end{Exo}
\begin{Exo}
Avec la règle et l'équerre, continue la frise
\includegraphics[scale=0.9]{./fig/frise}
\end{Exo}
\begin{Exo}
Refaire la figure de gauche. Découper sur les traits pleins et plier sur les pointillés pour faire un cube.
\includegraphics[scale=0.7]{./fig/de}
\end{Exo}
\begin{Exo}
Refaire la figure de gauche sur une feuille blanche puis découper sur les lignes noires.
\includegraphics[scale=0.8]{./fig/tangram}
\end{Exo}
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Notes autour d'exercices de reproduction pour les 5e_passerelle
###############################################################
:date: 2016-01-10
:modified: 2016-01-10
:category: 5eP
:tags: geometrie
:authors: Bertrand Benjamin
:summary: Progression autour d'exercices de reproduction d'un niveau 6e.

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