Début du chapitre sur les volumes pour les 6e
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Volumes avec les 6e pour l'année 2017-2018
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##########################################
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:date: 2018-05-01
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:modified: 2018-05-01
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:authors: Bertrand Benjamin
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:category: 6e
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:tags: Géométrie, Volumes
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:summary:
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Étape 1
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=======
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Objets de la vie courante à nommer, à retrouver le nom mathématique et à compter les sommets, les arrêtes, les faces.
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Après un travail initial, on les fait manipuler les volumes physiques.
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Cahier de bord: un bestiaire des volumes de base
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Étape 2
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=======
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Mesure de tout ce qui est possible de mesurer sur des volumes physiques.
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Cahier de bord: introduction du volume et de l'unité de volume.
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Étape 3
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=======
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Empilement de cubes où l'on calcule les volumes
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Cahier de bord: Formule du volume d'un pavé droit
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Étape 4
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=======
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Tache complexe avec un calcul de volume.
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6e/Unites/Volumes/B1_volumes.pdf
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6e/Unites/Volumes/B1_volumes.pdf
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BIN
6e/Unites/Volumes/E1_reconnaitre_volumes.pdf
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BIN
6e/Unites/Volumes/E1_reconnaitre_volumes.pdf
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BIN
6e/Unites/Volumes/E2_denombre_volumes.pdf
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BIN
6e/Unites/Volumes/E2_denombre_volumes.pdf
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6e/Unites/Volumes/E2_denombre_volumes.tex
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@ -0,0 +1,43 @@
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\date{Mai 2018}
|
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\title{Reconnaître les volumes}
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\tribe{Sixième}
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\pagestyle{empty}
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%\geometry{left=10mm,right=10mm, top=5mm}
|
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\begin{document}
|
||||
|
||||
\begin{exercise}[subtitle={Compter sur les volumes \Rep}]
|
||||
\hspace{-1cm}
|
||||
\begin{tabular}{|c|*{3}{p{0.25\textwidth}|}}
|
||||
\hline
|
||||
Nom & Nombre de sommets & Nombre d'arrètes & Nombre de faces \\
|
||||
\hline
|
||||
Cube & & & \\
|
||||
\hline
|
||||
Pavé droit & & & \\
|
||||
\hline
|
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Pyramide & & & \\
|
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\hline
|
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\end{tabular}
|
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\end{exercise}
|
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|
||||
\vfill
|
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\printexercise{exercise}{1}
|
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\vfill
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\printexercise{exercise}{1}
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\vfill
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\printexercise{exercise}{1}
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\vfill
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\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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|
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BIN
6e/Unites/Volumes/G1_reconnaitre_volumes.pdf
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BIN
6e/Unites/Volumes/G1_reconnaitre_volumes.pdf
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72
6e/Unites/Volumes/G1_reconnaitre_volumes.tex
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72
6e/Unites/Volumes/G1_reconnaitre_volumes.tex
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@ -0,0 +1,72 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\date{Mai 2018}
|
||||
\title{Reconnaître les volumes}
|
||||
\tribe{Sixième}
|
||||
|
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\pagestyle{empty}
|
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\renewcommand{\arraystretch}{1.2}
|
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%\geometry{left=10mm,right=10mm, top=5mm}
|
||||
|
||||
\begin{document}
|
||||
\begin{multicols}{3}
|
||||
\noindent
|
||||
Groupe: \dotfill \\
|
||||
\noindent
|
||||
Date: \dotfill \\
|
||||
\noindent
|
||||
\end{multicols}
|
||||
|
||||
\maketitle
|
||||
|
||||
\hspace{-1cm}
|
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\begin{tabular}{p{0.3\textwidth}p{0.3\textwidth}p{0.3\textwidth}}
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/ballon} Figure 1&
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/boite_medicaments.jpg} Figure 2 &
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/castle.jpg} Figure 3
|
||||
\\
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/conseve.jpg} Figure 4 &
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/de.png} Figure 5&
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/pyramides.jpg} Figure 6
|
||||
\\
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/rubix_cube.jpg} Figure 6&
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/tipi.jpg} Figure 8&
|
||||
\includegraphics[width=0.3\textwidth,height=5cm,keepaspectratio]{./fig/tower.jpg} Figure 9
|
||||
\end{tabular}
|
||||
|
||||
Compléter le tableau.
|
||||
|
||||
|
||||
\begin{tabular}{|c|*{2}{p{0.4\textwidth}|}}
|
||||
\hline
|
||||
Numéro & Nom de l'objet & Nom du volume \\
|
||||
\hline
|
||||
1 & & \\
|
||||
\hline
|
||||
2 & & \\
|
||||
\hline
|
||||
3 & & \\
|
||||
\hline
|
||||
4 & & \\
|
||||
\hline
|
||||
5 & & \\
|
||||
\hline
|
||||
6 & & \\
|
||||
\hline
|
||||
7 & & \\
|
||||
\hline
|
||||
8 & & \\
|
||||
\hline
|
||||
9 & & \\
|
||||
\hline
|
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\end{tabular}
|
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|
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|
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\end{document}
|
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|
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%%% Local Variables:
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%%% TeX-master: "master"
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%%% End:
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BIN
6e/Unites/Volumes/G2_decrire_volumes.pdf
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BIN
6e/Unites/Volumes/G2_decrire_volumes.pdf
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76
6e/Unites/Volumes/G2_decrire_volumes.tex
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76
6e/Unites/Volumes/G2_decrire_volumes.tex
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@ -0,0 +1,76 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\date{Mai 2018}
|
||||
\title{Reconnaître les volumes}
|
||||
\tribe{Sixième}
|
||||
|
||||
\pagestyle{empty}
|
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%\geometry{left=10mm,right=10mm, top=5mm}
|
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|
||||
\begin{document}
|
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|
||||
\begin{multicols}{3}
|
||||
\noindent
|
||||
Groupe: \dotfill \\
|
||||
\noindent
|
||||
Date: \dotfill \\
|
||||
\noindent
|
||||
\end{multicols}
|
||||
\begin{exercise}[subtitle={Compter sur les volumes \Rep}]
|
||||
\begin{itemize}
|
||||
\item Le cube: \dotfill \\[0.2cm]
|
||||
|
||||
\begin{minipage}{0.2\linewidth}
|
||||
\includegraphics[scale=1]{./fig/cube}
|
||||
\end{minipage}
|
||||
\hspace{0.1\linewidth}
|
||||
\begin{minipage}{0.7\linewidth}
|
||||
.\dotfill \\[0.2cm]
|
||||
.\dotfill \\[0.2cm]
|
||||
.\dotfill \\[0.2cm]
|
||||
\end{minipage}
|
||||
\item Le pavé droit: \dotfill \\[0.2cm]
|
||||
|
||||
\begin{minipage}{0.2\linewidth}
|
||||
\includegraphics[angle=90]{./fig/pave_droit}
|
||||
\end{minipage}
|
||||
\hspace{0.1\linewidth}
|
||||
\begin{minipage}{0.7\linewidth}
|
||||
.\dotfill \\[0.2cm]
|
||||
.\dotfill \\[0.2cm]
|
||||
.\dotfill \\[0.2cm]
|
||||
\end{minipage}
|
||||
\item La pyramide: \dotfill \\[0.2cm]
|
||||
|
||||
\begin{minipage}{0.2\linewidth}
|
||||
\includegraphics[scale=1]{./fig/pyramide}
|
||||
\end{minipage}
|
||||
\hspace{0.1\linewidth}
|
||||
\begin{minipage}{0.7\linewidth}
|
||||
.\dotfill \\[0.2cm]
|
||||
.\dotfill \\[0.2cm]
|
||||
.\dotfill \\[0.2cm]
|
||||
\end{minipage}
|
||||
\end{itemize}
|
||||
\end{exercise}
|
||||
|
||||
\vfill
|
||||
\begin{multicols}{3}
|
||||
\noindent
|
||||
Groupe: \dotfill \\
|
||||
\noindent
|
||||
Date: \dotfill \\
|
||||
\noindent
|
||||
\end{multicols}
|
||||
\printexercise{exercise}{1}
|
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\vfill
|
||||
|
||||
|
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\end{document}
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6e/Unites/Volumes/fig/ballon.jpg
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6e/Unites/Volumes/fig/ballon.jpg
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6e/Unites/Volumes/fig/boite_medicaments.jpg
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6e/Unites/Volumes/fig/boite_medicaments.jpg
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|
After Width: | Height: | Size: 22 KiB |
BIN
6e/Unites/Volumes/fig/castle.jpg
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6e/Unites/Volumes/fig/castle.jpg
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|
After Width: | Height: | Size: 50 KiB |
BIN
6e/Unites/Volumes/fig/conseve.jpg
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6e/Unites/Volumes/fig/conseve.jpg
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6e/Unites/Volumes/index.rst
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Volumes avec les 6e pour l'année 2017-2018
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##########################################
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:date: 2018-05-02
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:modified: 2018-05-02
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:authors: Bertrand Benjamin
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:category: 6e
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:tags: Géométrie, Volumes
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:summary: Découverte des volumes du calcul du volume avec les 6e pour l'année 2017-2018.
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|
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Étape 1: Reconnaissance des volumes
|
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===================================
|
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`Objets du monde <./G1_reconnaitre_volumes.pdf>`_ à nommer.
|
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|
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Sur la cahier de bord, on colle la `fiche vocabulaire des volumes <./B1_volumes.pdf>`_.
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Les élèves doivent ensuite reconnaître chaque volume dans les objets
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On complète la fiche vocabulaire avec des exemples de chaque volumes.
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Étape 2: Description des volumes
|
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================================
|
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|
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En travail individuel, les élèves dénombrent le nombre de sommets, faces et arrêtes pour certains objets et écrivent leurs résultats dans `la fiche pour dénombrer <./E2_denombre_volumes.pdf>`_.
|
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Puis en groupe, on cherche à décrire en une phrase comment on peut reconnaître le cube, le pavé droit et la pyramide (`decrire les volumes <./G2_decrire_volumes.pdf>`_)
|
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Cahier de bord: Les phrases produites par les élèves.
|
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|
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Étape 2
|
||||
=======
|
||||
|
||||
Mesure de tout ce qui est possible de mesurer sur des volumes physiques.
|
||||
|
||||
Cahier de bord: introduction du volume et de l'unité de volume.
|
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|
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Étape 3
|
||||
=======
|
||||
|
||||
Empilement de cubes où l'on calcule les volumes
|
||||
|
||||
Cahier de bord: Formule du volume d'un pavé droit
|
||||
|
||||
Étape 4
|
||||
=======
|
||||
|
||||
Tache complexe avec un calcul de volume.
|
||||
|
||||
@ -2,7 +2,7 @@ Déroulement de l'année 2017-2018 avec les 6e
|
||||
############################################
|
||||
|
||||
:date: 2017-08-24
|
||||
:modified: 2018-05-01
|
||||
:modified: 2018-05-02
|
||||
:authors: Bertrand Benjamin
|
||||
:category: 6e
|
||||
:tags: Progression
|
||||
@ -74,7 +74,7 @@ Période 5
|
||||
- G: `Symétrie axiale 2 <./Geometrie/Symetrie_axiale2/>`_ (Nico)
|
||||
- G: `Géométrie dessinée vers géométrie mathématique <./Geometrie/Dessinee_mathematiques/>`_ (Benj)
|
||||
- U: `Bilan sur les unités et les nombres décimaux <./Unites/Bilan_unites/>`_ (Nico)
|
||||
- U: `Volumes <./Geometrie/Volumes/>`_ (Benj)
|
||||
- U: `Volumes <./Unites/Volumes/>`_ (Benj)
|
||||
|
||||
En plus de cette série de séquences, viendront s'ajouter des taches complexes et des exercices sur la durées.
|
||||
|
||||
|
||||
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Block a user