From 5e59b13015b776578866133d566de2f691f55531 Mon Sep 17 00:00:00 2001
From: Bertrand Benjamin <benjamin.bertrand@opytex.org>
Date: Mon, 7 May 2018 09:06:13 +0300
Subject: [PATCH] On avance sur la p5 avec les 601

---
 .../B1_quadrilateres.pdf                      | Bin 0 -> 73135 bytes
 .../B1_quadrilateres.svg                      |  80 ++++
 .../Dessinee_mathematiques/B2_dessin_math.pdf | Bin 0 -> 18640 bytes
 .../Dessinee_mathematiques/B2_dessin_math.tex |  57 +++
 .../Dessinee_mathematiques/E1_vraifaux.pdf    | Bin 0 -> 13252 bytes
 .../Dessinee_mathematiques/E1_vraifaux.tex    |  38 ++
 .../E4_double_carre.pdf                       | Bin 0 -> 14012 bytes
 .../E4_double_carre.tex                       |  41 ++
 .../Dessinee_mathematiques/Quadrilateres.ggb  | Bin 0 -> 14967 bytes
 .../fig/quadrilatere_dessine.jpg              | Bin 0 -> 35759 bytes
 6e/Geometrie/Dessinee_mathematiques/index.rst |  12 +-
 6e/Unites/Volumes/B3_volumes.pdf              | Bin 0 -> 67382 bytes
 6e/Unites/Volumes/B3_volumes.svg              | 397 ++++++++++++++++++
 6e/Unites/Volumes/E4_calculer_volume.pdf      | Bin 0 -> 74421 bytes
 6e/Unites/Volumes/E4_calculer_volume.tex      |  40 ++
 6e/Unites/Volumes/fig/empilements.png         | Bin 0 -> 53594 bytes
 6e/Unites/Volumes/fig/volumes_cubes.pdf       | Bin 0 -> 5093 bytes
 6e/Unites/Volumes/fig/volumes_cubes.svg       | 174 ++++++++
 6e/Unites/Volumes/fig/volumes_nocubes.pdf     | Bin 0 -> 6462 bytes
 6e/Unites/Volumes/fig/volumes_nocubes.svg     | 184 ++++++++
 6e/Unites/Volumes/index.rst                   |  20 +-
 21 files changed, 1028 insertions(+), 15 deletions(-)
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/B1_quadrilateres.pdf
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/B1_quadrilateres.svg
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.pdf
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.tex
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.pdf
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.tex
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/E4_double_carre.pdf
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/E4_double_carre.tex
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/Quadrilateres.ggb
 create mode 100644 6e/Geometrie/Dessinee_mathematiques/fig/quadrilatere_dessine.jpg
 create mode 100644 6e/Unites/Volumes/B3_volumes.pdf
 create mode 100644 6e/Unites/Volumes/B3_volumes.svg
 create mode 100644 6e/Unites/Volumes/E4_calculer_volume.pdf
 create mode 100644 6e/Unites/Volumes/E4_calculer_volume.tex
 create mode 100644 6e/Unites/Volumes/fig/empilements.png
 create mode 100644 6e/Unites/Volumes/fig/volumes_cubes.pdf
 create mode 100644 6e/Unites/Volumes/fig/volumes_cubes.svg
 create mode 100644 6e/Unites/Volumes/fig/volumes_nocubes.pdf
 create mode 100644 6e/Unites/Volumes/fig/volumes_nocubes.svg

diff --git a/6e/Geometrie/Dessinee_mathematiques/B1_quadrilateres.pdf b/6e/Geometrie/Dessinee_mathematiques/B1_quadrilateres.pdf
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diff --git a/6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.tex b/6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.tex
new file mode 100644
index 0000000..2a28763
--- /dev/null
+++ b/6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.tex
@@ -0,0 +1,57 @@
+\documentclass[a4paper,12pt]{article}
+\usepackage{myXsim}
+
+\author{}
+\date{Mai 2018}
+\title{Géométrie dessinée vs géométrie mathématique}
+\tribe{Sixième}
+
+\pagestyle{empty}
+\renewcommand{\arraystretch}{2}
+
+\newcommand{\content}{%
+Les mathématiciens n'étudient pas les dessins géométriques car sur un dessin, il y a forcément des défauts de tracé et les mesures ne peuvent pas être exactes.
+
+Pour mieux comprendre le monde qui nous entoure, les mathématiciens ont décidé d'étudier des objets géométriques entièrement \textbf{imaginaires, parfaits, avec des mesures exactes} : un cercle parfaitement rond, sans épaisseur ; un segment parfaitement droit d'exactement 3,8 cm etc. 
+
+Il y a donc deux types de géométrie plane.
+
+\bigskip
+\hspace{-1cm}
+\begin{tabular}{|*{2}{p{0.5\textwidth}|}}
+    \hline
+    \parbox[m]{0.4\textwidth}{\textbf{Géométrie dessinée} \\ Étudiée à l'école primaire et au collège} &
+    \parbox[m]{0.4\textwidth}{\textbf{Géométrie mathématique} \\ Étudiée au collège, au lycée, ...} \\
+    \hline
+    On étudie et on fait des dessins: segments dessinés, carrés dessinés ... &
+    On étudie des objets géométriques imaginaires et "parfait": segment mathématiques,  carrés mathématiques ... \\
+    \hline
+    La mesure d'un segment dessiné ne peut pas être infiniment précise ni exacte &
+    La longueur d'un segment imaginaire est infiniment précise et exacte \\
+    \hline
+    Une droite dessinée n'est pas parfaitement droite et elle a une épaisseur et une couleur &
+    Une droite mathématique est parfaitement droite et elle n'a pas d'épaisseur ni de couleur. \\
+    \hline
+    Une figure doit être dessinée avec la plus grande précision &
+    Un croquis à main levé suffit, par contre il faut coder la figure.\\
+    \hline
+\end{tabular}
+}
+
+\begin{document}
+
+\content
+
+\vfill
+\content
+
+\vfill
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
diff --git a/6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.pdf b/6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.pdf
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diff --git a/6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.tex b/6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.tex
new file mode 100644
index 0000000..3183a2c
--- /dev/null
+++ b/6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.tex
@@ -0,0 +1,38 @@
+\documentclass[a4paper,12pt]{article}
+\usepackage{myXsim}
+
+\author{}
+\date{Mars 2018}
+\title{Vrais/Faux sur les quadrilatères}
+\tribe{Sixième}
+
+\pagestyle{empty}
+
+\begin{document}
+
+\begin{exercise}[subtitle={Vrai ou faux?}]
+    En t'aidant des figures que tu peux déformer sur la tablette, dit si les phrases suivantes sont vraies ou fausses. Tu peux faire un dessin pour expliquer ta réponse.
+    \begin{enumerate}
+        \item Tous les carrés sont des quadrilatères.
+        \item Tous les rectangles ont les quatre côtés de la même longueur.
+        \item Tous les carrés sont des losanges.
+        \item Il existe des rectangles qui sont aussi des carrés.
+        \item Tous les losanges ont leurs diagonales qui se coupent en angle droit.
+    \end{enumerate}
+\end{exercise}
+
+\vfill
+\printexercise{exercise}{1}
+\vfill
+\printexercise{exercise}{1}
+\vfill
+\printexercise{exercise}{1}
+\vfill
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
diff --git a/6e/Geometrie/Dessinee_mathematiques/E4_double_carre.pdf b/6e/Geometrie/Dessinee_mathematiques/E4_double_carre.pdf
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diff --git a/6e/Geometrie/Dessinee_mathematiques/E4_double_carre.tex b/6e/Geometrie/Dessinee_mathematiques/E4_double_carre.tex
new file mode 100644
index 0000000..f39cae9
--- /dev/null
+++ b/6e/Geometrie/Dessinee_mathematiques/E4_double_carre.tex
@@ -0,0 +1,41 @@
+\documentclass[a4paper,12pt]{article}
+\usepackage{myXsim}
+
+\author{}
+\date{Mars 2018}
+\title{Double carré}
+\tribe{Sixième}
+
+\pagestyle{empty}
+
+\begin{document}
+
+\begin{exercise}[subtitle={Double carré}]
+    ABEF est un carré mathématique tel que : AB = 5 cm.
+
+    BCDE est un autre carré mathématique.
+
+    \begin{enumerate}
+        \item Faire un croquis à main levé de la figure.
+        \item Tracer le plus précisément la figure.
+        \item Quel est le périmètre du rectangle mathématique ACDF ? Quelle est son aire ? 
+        \item Quel est le périmètre du triangle mathématique ADF ? Quelle est son aire ?
+    \end{enumerate}
+\end{exercise}
+
+\vfill
+\printexercise{exercise}{1}
+\vfill
+\printexercise{exercise}{1}
+\vfill
+\printexercise{exercise}{1}
+\vfill
+\printexercise{exercise}{1}
+\vfill
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
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diff --git a/6e/Geometrie/Dessinee_mathematiques/index.rst b/6e/Geometrie/Dessinee_mathematiques/index.rst
index 77f2db0..a472b09 100644
--- a/6e/Geometrie/Dessinee_mathematiques/index.rst
+++ b/6e/Geometrie/Dessinee_mathematiques/index.rst
@@ -2,7 +2,7 @@ De la géométrie dessinée à la géométrie mathématiques avec les 6e pour l'
 ########################################################################################
 
 :date: 2018-05-01
-:modified: 2018-05-01
+:modified: 2018-05-07
 :authors: Bertrand Benjamin
 :category: 6e
 :tags: Geométrie
@@ -18,10 +18,12 @@ Série de Vrai/faux sur des phrases nécessitants la déformation des figures
 
 -> Tous les carrés sont des quadrilatères.
 
+Cahier de bord: Dessins des quadrilatères avec les phrases justes sur chaque quadrilatères.
+
 Étape 2: Tracer des quadrilatères
 =================================
 
-On demande à tous les élèves de nous tracer un quadrilatère et un carré sur une feuille blanche.
+On demande à tous les élèves de nous tracer un quadrilatère et un carré sur une feuille blanche (en précisant qu'ils doivent coder leurs figures)
 
 En plénière, on demande que doit-on vérifier pour valider ou pas les dessins.
 
@@ -33,14 +35,14 @@ On ouvre sur la différence entre la géométrie dessinée et la géométrie mat
 Étape 3
 =======
 
-Avec les productions des élèves, les disques..., les élèves nomment les figures puis cherchent exhaustivement les defauts.
+Avec les productions des élèves, les disques..., les élèves nomment les figures puis cherchent exhaustivement les défauts.
 
-Cahier de bord: Bilan p 340.
+Cahier de bord: `différences entre géométrie dessinée et géométrie mathématique <./B2_dessin_math.pdf>`_
 
 Étape 4
 =======
 
-Calcul de l'aire et du périmètre avec 2 carrés (cfp351)
+Calcul de l'aire et du périmètre avec `2 carrés <./E4_double_carre.pdf>`_
 
 Étape 5
 =======
diff --git a/6e/Unites/Volumes/B3_volumes.pdf b/6e/Unites/Volumes/B3_volumes.pdf
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+       id="flowPara6863">Pour mesurer un volume, on compte le nombre de cube à l'intérieur.</flowPara><flowPara
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+       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;text-align:end;text-anchor:end" /><flowPara
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diff --git a/6e/Unites/Volumes/E4_calculer_volume.pdf b/6e/Unites/Volumes/E4_calculer_volume.pdf
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diff --git a/6e/Unites/Volumes/E4_calculer_volume.tex b/6e/Unites/Volumes/E4_calculer_volume.tex
new file mode 100644
index 0000000..12dba69
--- /dev/null
+++ b/6e/Unites/Volumes/E4_calculer_volume.tex
@@ -0,0 +1,40 @@
+\documentclass[a4paper,12pt]{article}
+\usepackage{myXsim}
+
+\date{Mai 2018}
+\title{Calculer le volume}
+\tribe{Sixième}
+
+\pagestyle{empty}
+%\geometry{left=10mm,right=10mm, top=5mm}
+
+\begin{document}
+
+\begin{exercise}[subtitle={Calculer les volumes \Rep}]
+    \begin{enumerate}
+        \item Calculer le volume des 3 objets suivants
+
+            \hspace{-1.2cm}
+            \includegraphics[scale=0.8]{./fig/volumes_cubes}
+        \item Calculer le volume des 2 objets suivants
+
+            \hspace{-1cm}
+            \includegraphics[scale=0.8]{./fig/volumes_nocubes}
+    \end{enumerate}
+\end{exercise}
+
+\begin{exercise}[subtitle={Empillement des cubes \Rep}]
+    Quel est le volume de chacun de ces empilements?
+
+    \includegraphics[scale=0.4]{./fig/empilements}
+\end{exercise}
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
diff --git a/6e/Unites/Volumes/fig/empilements.png b/6e/Unites/Volumes/fig/empilements.png
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diff --git a/6e/Unites/Volumes/index.rst b/6e/Unites/Volumes/index.rst
index b81825c..16f0473 100644
--- a/6e/Unites/Volumes/index.rst
+++ b/6e/Unites/Volumes/index.rst
@@ -2,7 +2,7 @@ Volumes avec les 6e pour l'année 2017-2018
 ##########################################
 
 :date: 2018-05-02
-:modified: 2018-05-02
+:modified: 2018-05-07
 :authors: Bertrand Benjamin
 :category: 6e
 :tags: Géométrie, Volumes
@@ -29,22 +29,22 @@ Puis en groupe, on cherche à décrire en une phrase comment on peut reconnaîtr
 
 Cahier de bord: Les phrases produites par les élèves.
 
-Étape 2
+Étape 3
 =======
 
 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
+Cahier de bord: `introduction du volume et de l'unité de volume <./B3_volumes.pdf>`_
 
 Étape 4
 =======
 
+`Empilements de cubes <./E4_calculer_volume.pdf>`_ où l'on calcule les volumes
+
+Cahier de bord: Formule du volume d'un pavé droit
+
+Étape 5
+=======
+
 Tache complexe avec un calcul de volume.