From ca14242234c911174fe1c6c11365f25328def024 Mon Sep 17 00:00:00 2001
From: Bertrand Benjamin <benjamin.bertrand@opytex.org>
Date: Mon, 25 Sep 2017 09:07:20 +0300
Subject: [PATCH] =?UTF-8?q?Pr=C3=A9paration=20du=20chapitre=20mod=C3=A9lis?=
 =?UTF-8?q?ation=20pour=20les=203e?=
MIME-Version: 1.0
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---
 3e/Calcul_litteral/Modelisation/QCM.pdf       | Bin 0 -> 50273 bytes
 3e/Calcul_litteral/Modelisation/QCM.tex       |  58 ++
 .../Modelisation/carre_pierres.pdf            | Bin 0 -> 20569 bytes
 .../Modelisation/carre_pierres.svg            | 626 ++++++++++++++++++
 .../carre_pierres_choix_formule.pdf           | Bin 0 -> 49218 bytes
 .../carre_pierres_choix_formule.tex           |  35 +
 .../Modelisation/fig/carre_2eversion.pdf      | Bin 0 -> 2473 bytes
 .../Modelisation/fig/carre_2eversion.svg      | 370 +++++++++++
 3e/Calcul_litteral/Modelisation/index.rst     |  23 +
 9 files changed, 1112 insertions(+)
 create mode 100644 3e/Calcul_litteral/Modelisation/QCM.pdf
 create mode 100644 3e/Calcul_litteral/Modelisation/QCM.tex
 create mode 100644 3e/Calcul_litteral/Modelisation/carre_pierres.pdf
 create mode 100644 3e/Calcul_litteral/Modelisation/carre_pierres.svg
 create mode 100644 3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.pdf
 create mode 100644 3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.tex
 create mode 100644 3e/Calcul_litteral/Modelisation/fig/carre_2eversion.pdf
 create mode 100644 3e/Calcul_litteral/Modelisation/fig/carre_2eversion.svg
 create mode 100644 3e/Calcul_litteral/Modelisation/index.rst

diff --git a/3e/Calcul_litteral/Modelisation/QCM.pdf b/3e/Calcul_litteral/Modelisation/QCM.pdf
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diff --git a/3e/Calcul_litteral/Modelisation/QCM.tex b/3e/Calcul_litteral/Modelisation/QCM.tex
new file mode 100644
index 0000000..ad59e7b
--- /dev/null
+++ b/3e/Calcul_litteral/Modelisation/QCM.tex
@@ -0,0 +1,58 @@
+\documentclass[a5paper,10pt]{article}
+\usepackage{myXsim}
+
+\title{Évaluer et égalité - Exercices}
+\tribe{Troisième}
+\date{Septembre 2017}
+
+
+\begin{document}
+
+\begin{exercise}
+    Cet exercice est un questionnaire à choix multiples (QCM). Pour chaque question, une seule des trois réponses proposées est exacte. Sur la copie, indiquer le numéro de la question et recopier, sans justifier, la réponse choisie. Aucun point ne sera enlevé en cas de mauvaise réponse :
+
+    \hspace{-1cm}
+        \begin{tabular}{|c|p{4cm}|*{2}{p{2cm}|}p{2.5cm}|}
+            \hline
+            1 & Si $x = 3$ alors $2x(3x + 1)$ est égal à & $9x$ & $3$ & 60\\
+            \hline
+            2 & Si $x = -2$ alors $(6x^2 + 1) - 4$ est égal à & $-2$ & $21$ & $0$\\
+            \hline
+            3 & Si $a = -10$ alors $4a^2 + 9a - 10$ est égal à & $3$ & $300$ & $-10a^2$\\
+            \hline
+            4 & À quelle expression $(x-3)(6x+1)$ est-elle égale? & $3$ & $6x^2 - 3$ & $6x^2-17x-3$ \\
+            \hline
+            5 & À quelle expression $(2x+4)(2x+4)$ est-elle égale? & $(2x+4)^2$ & $2x+4$ & $4x^2 + 16x$ \\
+            \hline
+            6 & $9-49x^2$ est égale à : & $-40x$ & $(3-7x)^2$ & $(3-7x)(3+7x)$\\
+            \hline
+        \end{tabular}
+\end{exercise}
+
+\begin{exercise}
+    Cet exercice est un QCM (questionnaire à choix multiples). 
+    Pour chaque ligne du tableau, une seule affirmation est juste.
+    Sur votre copie, indiquer le numéro de la question et recopier l’affirmation juste.
+    On ne demande pas de justifier.
+
+    \hspace{-1cm}
+        \begin{tabular}{|c|p{4.5cm}|*{3}{p{2cm}|}}
+            \hline 
+            & & A & B & C \\
+            \hline
+            1 & $(x-1)^2$ est égale à & $(x-1)(x+1)$ & $x^2 - 2x + 1$ & $x^2 + 2x + 1$ \\
+            \hline
+            2 & $3x^2 + 10x - 5x^2 + 4$ est égale à & $12x$ & $12x^2 + 4$ & $-2x^2 + 10x + 4$ \\
+            \hline
+            3 & $-6x + 3x^2 + 10x - 5x^2 -4x$ est égale à & $-2x^2$ & $-2x$ & $-2$ \\
+            \hline
+        \end{tabular}
+\end{exercise}
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
diff --git a/3e/Calcul_litteral/Modelisation/carre_pierres.pdf b/3e/Calcul_litteral/Modelisation/carre_pierres.pdf
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+           id="flowPara6922">Exercice des carrés de Pierre</flowPara><flowPara
+           style="text-align:justify;text-anchor:start"
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+           style="text-align:justify;text-anchor:start"
+           id="flowPara6930">Pierre joue avec des mosaïques de couleur. </flowPara><flowPara
+           style="text-align:justify;text-anchor:start"
+           id="flowPara6932">Il dispose ses mosaïques pour obtenir des « carrés »</flowPara><flowPara
+           style="text-align:justify;text-anchor:start"
+           id="flowPara6938" /><flowPara
+           style="text-align:justify;text-anchor:start"
+           id="flowPara6940">Il voudrait savoir à l’avance combien de mosaïques il lui faut pour fabriquer n’importe quel « carré ». </flowPara><flowPara
+           style="text-align:justify;text-anchor:start"
+           id="flowPara6942">Comment l’aider ?</flowPara><flowPara
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diff --git a/3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.pdf b/3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.pdf
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diff --git a/3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.tex b/3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.tex
new file mode 100644
index 0000000..8faac2a
--- /dev/null
+++ b/3e/Calcul_litteral/Modelisation/carre_pierres_choix_formule.tex
@@ -0,0 +1,35 @@
+\documentclass[a5paper,12pt]{article}
+\usepackage{myXsim}
+
+\title{Trouver la bonne formule}
+\tribe{Troisième}
+\date{Septembre 2017}
+
+\begin{document}
+
+\begin{exercise}[subtitle={Double carré de pierres \Rep}]
+    Pierre dispose maintenant ses mozaïques pour obtenir des carrés à double côté. En voici 2:
+
+    \includegraphics[scale=1]{./fig/carre_2eversion}
+
+    Voici plusieurs formules, à toi de trouver la ou les bonnes (dans les formules $c$ désigne le nombre de mozaïque)
+
+    \begin{enumerate}
+        \item $(c-1)\times4 + c - 2$
+        \item $5c -6$
+        \item $4(c-1)  + c$
+        \item $c^2 - 12c + 64$
+        \item $c + c - 3 + c + c + c - 3$
+        \item $3 \times c - 2 + 2 \times c - 4$
+        \item $2c + 3(c-2)$
+    \end{enumerate}
+\end{exercise}
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
diff --git a/3e/Calcul_litteral/Modelisation/fig/carre_2eversion.pdf b/3e/Calcul_litteral/Modelisation/fig/carre_2eversion.pdf
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diff --git a/3e/Calcul_litteral/Modelisation/index.rst b/3e/Calcul_litteral/Modelisation/index.rst
new file mode 100644
index 0000000..3a6c48c
--- /dev/null
+++ b/3e/Calcul_litteral/Modelisation/index.rst
@@ -0,0 +1,23 @@
+Modélisaation avec le calcul littéral avec les 3e pour l'année 2017-2018
+########################################################################
+
+:date: 2017-09-25
+:modified: 2017-09-25
+:tags: Calcul littéral, Modélisation
+:category: 3e
+:authors: Bertrand Benjamin
+:summary: Redécouverte de l'utilité de la lettre pour représenter n'importe quel nombre avec les 3e pour l'année 2017-2018.
+
+Étape 1
+--------
+
+`Exercice du carré de pierres <./carre_pierres.pdf>`_ pour redécouvrir l'utilité de la lettre et découvrir les premières manipulations littérales.
+
+Étape 2
+--------
+
+
+Étape 3
+--------
+
+