Préparation du chapitre modélisation pour les 3e

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Bertrand Benjamin 2017-09-25 09:07:20 +03:00
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\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 laffirmation 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}
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\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"
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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
--------