Début du chapitre sur les volumes pour les 6e

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Bertrand Benjamin 2018-05-02 11:30:28 +03:00
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Volumes avec les 6e pour l'année 2017-2018
##########################################
:date: 2018-05-01
:modified: 2018-05-01
:authors: Bertrand Benjamin
:category: 6e
:tags: Géométrie, Volumes
:summary:
Étape 1
=======
Objets de la vie courante à nommer, à retrouver le nom mathématique et à compter les sommets, les arrêtes, les faces.
Après un travail initial, on les fait manipuler les volumes physiques.
Cahier de bord: un bestiaire des volumes de base
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.
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.

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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\date{Mai 2018}
\title{Reconnaître les volumes}
\tribe{Sixième}
\pagestyle{empty}
%\geometry{left=10mm,right=10mm, top=5mm}
\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
Pyramide & & & \\
\hline
\end{tabular}
\end{exercise}
\vfill
\printexercise{exercise}{1}
\vfill
\printexercise{exercise}{1}
\vfill
\printexercise{exercise}{1}
\vfill
\end{document}
%%% Local Variables:
%%% mode: latex
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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\date{Mai 2018}
\title{Reconnaître les volumes}
\tribe{Sixième}
\pagestyle{empty}
\renewcommand{\arraystretch}{1.2}
%\geometry{left=10mm,right=10mm, top=5mm}
\begin{document}
\begin{multicols}{3}
\noindent
Groupe: \dotfill \\
\noindent
Date: \dotfill \\
\noindent
\end{multicols}
\maketitle
\hspace{-1cm}
\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
\end{tabular}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\date{Mai 2018}
\title{Reconnaître les volumes}
\tribe{Sixième}
\pagestyle{empty}
%\geometry{left=10mm,right=10mm, top=5mm}
\begin{document}
\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}
\vfill
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Volumes avec les 6e pour l'année 2017-2018
##########################################
:date: 2018-05-02
:modified: 2018-05-02
:authors: Bertrand Benjamin
:category: 6e
:tags: Géométrie, Volumes
:summary: Découverte des volumes du calcul du volume avec les 6e pour l'année 2017-2018.
Étape 1: Reconnaissance des volumes
===================================
`Objets du monde <./G1_reconnaitre_volumes.pdf>`_ à nommer.
Sur la cahier de bord, on colle la `fiche vocabulaire des volumes <./B1_volumes.pdf>`_.
Les élèves doivent ensuite reconnaître chaque volume dans les objets
On complète la fiche vocabulaire avec des exemples de chaque volumes.
Étape 2: Description des volumes
================================
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>`_.
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>`_)
Cahier de bord: Les phrases produites par les élèves.
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.
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.

View File

@ -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.