import work from year 2016-2017
This commit is contained in:
Benjamin Bertrand
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5e/Nombres_et_calculs/Expression_litteral/carre_pierres.pdf
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5e/Nombres_et_calculs/Expression_litteral/carre_pierres.pdf
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5e/Nombres_et_calculs/Expression_litteral/distance_arret.pdf
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5e/Nombres_et_calculs/Expression_litteral/distance_arret.tex
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
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% Title Page
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\titre{Expression litterale - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Cinquième}
|
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\date{Mars 2017}
|
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\renewcommand{\lexo}{%
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{center}
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{\Large\textbf{Distance d'arrêt}}
|
||||
\end{center}
|
||||
La distance d’arrêt pour un automobiliste est la distance qu'il parcourt entre le moment où il voit un obstacle et le moment où il s’arrête après avoir freiné.
|
||||
La distance d'arrêt, notée $D$, depend de la vitesse du conducteur $V$ et de son état:
|
||||
\begin{itemize}
|
||||
\item Pour un conducteur lucide:
|
||||
\[D = V\div 6 + 0,007\times V^2\]
|
||||
\item Pour un conducteur peu lucide:
|
||||
\[D = V\div 2 + 0,007\times V^2\]
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Complète le tableau suivant en écrivant les calculs sur ton cahier.
|
||||
|
||||
\hspace{-0.7cm}
|
||||
\begin{tabular}{|m{3.5cm}|*{5}{p{1.3cm}|}}
|
||||
\hline
|
||||
Vitesse $V$ en km/h & 50 & 90 & 100 & 110 & 130 \\
|
||||
\hline
|
||||
Distance $D$ d'arrêt pour le conducteur lucide & & & & & \\
|
||||
\hline
|
||||
Distance $D$ d'arrêt pour le conducteur peu lucide & & & & & \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\item Un conducteur roule à 100 km/h. Un obstacle surgit à 100 m de lui. Pourra-t-il s’arrêter à temps ?
|
||||
\item Un conducteur lucide veut pouvoir s’arrêter en 10 mètres au maximum. Détermine la vitesse qu’il ne doit pas dépasser.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
}
|
||||
|
||||
\pagestyle{empty}
|
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\begin{document}
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\lexo
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\pagebreak
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\lexo
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\pagebreak
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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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34
5e/Nombres_et_calculs/Expression_litteral/index.rst
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5e/Nombres_et_calculs/Expression_litteral/index.rst
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|
||||
Notes sur le calcul littéral en 5e
|
||||
##################################
|
||||
|
||||
:date: 2017-02-02
|
||||
:modified: 2017-03-27
|
||||
:tags: Nombres et calculs, Expression littérale
|
||||
:category: 5e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Chapitre d'initiation au calcul littéral en 5e
|
||||
|
||||
|
||||
Nous avons déjà travaillé sur le `sens du signe "=" <../Sens_de_egal_programme_calculs/>`_ et sur `l'enchainement des opérations <../Enchainement_operations>`_.
|
||||
|
||||
Étape 1
|
||||
-------
|
||||
|
||||
Problème ouvert où il faut trouver une façon de compter des carrés de pierre dans un mosaïque.
|
||||
|
||||
`Carré de pierres <./carre_pierres.pdf>`_.
|
||||
|
||||
Les élèves commencent à compter un par un les mozaiques pour chaque carré de pierre. On laisse une trace dans le cahier de bord ce qui permet de quitter la notion du "petit/moyen/grand" carré de pierres.
|
||||
|
||||
On suggère que pour répondre à la question, il faut faire d'autres carrés de pierres (avec remédiation pour les "rectangles" de pierres). On laisse un trace dans le cahier de bord sur d'éventuelles erreurs sur les rectangles.
|
||||
|
||||
Il faut ensuite réussir à faire émerger la notion de formule pour calculer le nombre de mozaiques pour n'importe quel carré de pierre.
|
||||
|
||||
|
||||
Étape 2
|
||||
-------
|
||||
|
||||
Manipulation d'une formule, avec la calculatrice et le tableur, de distance d'arrêt.
|
||||
|
||||
`Distance d'arret <./distance_arret.pdf>`_
|
||||
|
||||
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5e/Nombres_et_calculs/Expression_litteral/tableau_conducteur.ods
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Reference in New Issue
Block a user