import work from year 2015-2016
This commit is contained in:
Benjamin Bertrand
23
5e/Nombres_et_calculs/Addition_nombres_relatifs/index.rst
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23
5e/Nombres_et_calculs/Addition_nombres_relatifs/index.rst
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Notes sur le chapitre Addition des nombres relatifs
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###################################################
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:date: 2016-02-17
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:modified: 2016-02-17
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:tags: Nombres et operations
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:category: 5e
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:authors: Bertrand Benjamin
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:summary: 2 chapitres sur les nombres relatifs pour les 5e
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Je reprends encore une fois la séquence tirée du bouquin Les maths Ensemble et pour Chacun.
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L'élaboration des techniques de calculs va se faire sur au moins 4 séances avec la progression du suivante:
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- Somme du type :math: `4+(-4)` (somme nulle)
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- Somme du type :math: `4+(-3)` et :math: `(-4) + 6` (somme positive)
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- Somme du type :math: `(-3)+(-4)` (somme de deux négatifs)
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- Somme du type :math: `2+(-4)` (somme négative)
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Des calculs sont donnés au tableau. Après une courte réfléction seul et un travail de groupe, on met en commun.
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Dans le bouquin, il est conseillé de s'appuyer sur l'axe pour justifier ce qui va permettre de remobiliser cette compétence.
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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% Title Page
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\titre{}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Cinquième}
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\date{Novembre 2015}
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\pagestyle{empty}
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\begin{document}
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\large
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\textbf{Trois conventions décidées par les mathématiciens}
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\normalsize
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\begin{itemize}
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\item Dans une expression, les calculs entre \textbf{parenthèses} sont prioritaires.
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\vfill
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\item Dans une expression sans parenthèses avec uniquement des \textbf{additions} et des \textbf{soustractions}, on effectue les calculs de gauche à droite.
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\vfill
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\item Dans une expression sans parenthèses avec uniquement des \textbf{multiplications} et des \textbf{divisions}, on effectue les calculs de gauche à droite.
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\vfill
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\item Dans une expression sans parenthèses, on effectue d'abord les \textbf{multiplications} et les \textbf{divisions} et ensuite les \textbf{additions} et les \textbf{soustractions}.
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\vfill
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\end{itemize}
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\pagebreak
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\large
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\textbf{Trois conventions décidées par les mathématiciens}
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\normalsize
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\begin{itemize}
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\item Dans une expression, les calculs entre \textbf{parenthèses} sont prioritaires.
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\vfill
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\item Dans une expression sans parenthèses avec uniquement des \textbf{additions} et des \textbf{soustractions}, on effectue les calculs de gauche à droite.
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\vfill
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\item Dans une expression sans parenthèses avec uniquement des \textbf{multiplications} et des \textbf{divisions}, on effectue les calculs de gauche à droite.
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\vfill
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\item Dans une expression sans parenthèses, on effectue d'abord les \textbf{multiplications} et les \textbf{divisions} et ensuite les \textbf{additions} et les \textbf{soustractions}.
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\vfill
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\end{itemize}
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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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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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% Title Page
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\titre{Enchaînement des opérations - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Cinquième}
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\date{Novembre 2015}
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\pagestyle{empty}
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\begin{document}
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\pagebreak
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
|
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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|
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\begin{Exo}
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\begin{enumerate}
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\item Trouve la réponse au problème suivant: " Avec son forfait, Pascal peut téléphoner pendant 90minutes. Il a passé 36 coups de téléphone de 2minutes chacun; Combien de communications de 2 minutes peut-il encore passer?
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\item Écris un seul calcul qui donne la solution du problème.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\pagebreak
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\end{document}
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%%% Local Variables:
|
||||
%%% mode: latex
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%%% TeX-master: "master"
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||||
%%% End:
|
||||
|
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14
5e/Nombres_et_calculs/Enchainement_des_operations/index.rst
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14
5e/Nombres_et_calculs/Enchainement_des_operations/index.rst
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Notes sur le chapitre Enchaînement des opérations
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#################################################
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:date: 2015-11-04
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:modified: 2015-11-04
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:category: 5e
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:tags: Nombres et calculs
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:authors: Bertrand Benjamin
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:summary: Notes sur le chapitre Enchaînement des opérations pour les 5e
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Séquence 1
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==========
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On travail sur le sens du signe "=". On reprend la séquence Enchaînement des opérations du livre Les Maths ensemble et pour chacun.
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BIN
5e/Nombres_et_calculs/Expression_litterale/distance_arret.pdf
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BIN
5e/Nombres_et_calculs/Expression_litterale/distance_arret.pdf
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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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{Avril 2016}
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\pagestyle{empty}
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\begin{document}
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\begin{Exo}
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\begin{center}
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{\Large\textbf{Distance d'arrêt}}
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\end{center}
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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.
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La distance d'arrêt, notée $D$, depend de la vitesse du conducteur $V$ et de son état:
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\begin{itemize}
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\item Pour un conducteur lucide:
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\[D = V\div 6 + 0,007\times V^2\]
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\item Pour un conducteur peu lucide:
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\[D = V\div 2 + 0,007\times V^2\]
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\end{itemize}
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\begin{enumerate}
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\item Complète le tableau suivant en écrivant les calculs sur ton cahier.
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\hspace{-0.5cm}
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\begin{tabular}{|m{3.5cm}|*{5}{p{1.5cm}|}}
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\hline
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Vitesse $V$ en km/h & 50 & 90 & 100 & 110 & 130 \\
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\hline
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Distance $D$ d'arrêt pour le conducteur lucide & & & & & \\
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\hline
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Distance $D$ d'arrêt pour le conducteur peu lucide & & & & & \\
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\hline
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\end{tabular}
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\item Un conducteur roule à 100 km/h. Un obstacle surgit à 100 m de lui. Pourra-t-il s’arrêter à temps ?
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\item Un conducteur lucide veut pouvoir s’arrêter en 10 mètres au maximum. Détermine la vitesse qu’il ne doit pas dépasser.
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\pagebreak
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\begin{Exo}
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\begin{center}
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{\Large\textbf{Distance d'arrêt}}
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\end{center}
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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:
|
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\begin{itemize}
|
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\item Pour un conducteur lucide:
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\[D = V\div 6 + 0,007\times V^2\]
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\item Pour un conducteur peu lucide:
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\[D = V\div 2 + 0,007\times V^2\]
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\end{itemize}
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\begin{enumerate}
|
||||
\item Complète le tableau suivant en écrivant les calculs sur ton cahier.
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\hspace{-0.5cm}
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\begin{tabular}{|m{3.5cm}|*{5}{p{1.5cm}|}}
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\hline
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Vitesse $V$ en km/h & 50 & 90 & 100 & 110 & 130 \\
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\hline
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Distance $D$ d'arrêt pour le conducteur lucide & & & & & \\
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\hline
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Distance $D$ d'arrêt pour le conducteur peu lucide & & & & & \\
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\hline
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\end{tabular}
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\item Un conducteur roule à 100 km/h. Un obstacle surgit à 100 m de lui. Pourra-t-il s’arrêter à temps ?
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\item Un conducteur lucide veut pouvoir s’arrêter en 10 mètres au maximum. Détermine la vitesse qu’il ne doit pas dépasser.
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\end{enumerate}
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\end{Exo}
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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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BIN
5e/Nombres_et_calculs/Expression_litterale/exo_relier.pdf
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BIN
5e/Nombres_et_calculs/Expression_litterale/exo_relier.pdf
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136
5e/Nombres_et_calculs/Expression_litterale/exo_relier.tex
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5e/Nombres_et_calculs/Expression_litterale/exo_relier.tex
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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% Title Page
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\titre{Expression litteral - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Cinquième}
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\date{Avril 2016}
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\pagestyle{empty}
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\geometry{left=5mm,right=5mm, bottom= 10mm, top=10mm}
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\begin{document}
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\begin{Exo}
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\begin{enumerate}
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\item Relier les expressions égales entres elles (certaines peuvent ne pas être relier). Puis écrire l'égalité trouvée.
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\begin{minipage}[c]{0.2\textwidth}
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\flushright
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$ 11 \times 56 - 56 \qquad \bullet$ \\[0.5cm]
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$ 11 \times 65 - 65 \qquad \bullet$ \\[0.5cm]
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$ 9 \times 55 + 55 \qquad \bullet$ \\[0.5cm]
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$ 99 \times 56 + 56 \qquad \bullet$ \\[0.5cm]
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$ 12 \times 64 - 2 \times 64 \qquad \bullet$ \\[0.5cm]
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$ 102 \times 65 - 2 \times 65 \qquad \bullet$
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|
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.1\textwidth}
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\begin{itemize}
|
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\item $100 \times 66$
|
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\item $10 \times 65$
|
||||
\item $100 \times 55$
|
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\item $10 \times 55$
|
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\item $10 \times 64$
|
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\item $10 \times 56$
|
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\item $100 \times 65$
|
||||
\item $9 \times 65$
|
||||
\item $100 \times 56$
|
||||
\item $10 \times 57$
|
||||
\end{itemize}
|
||||
|
||||
\end{minipage}
|
||||
|
||||
\item Réécrire les calculs suivants en un seul calcul plus simple puis faire le calcul.
|
||||
\begin{multicols}{2}
|
||||
\begin{enumerate}
|
||||
\item $11 \times 23 - 23$
|
||||
\item $11 \times 543 - 543$
|
||||
\item $9 \times 39 + 39$
|
||||
\item $9 \times 93 + 93$
|
||||
\item $102 \times 45 - 2 \times 45$
|
||||
\item $103 \times 78 - 3 \times 78$
|
||||
\item $98 \times 54 + 2 \times 54$
|
||||
\item $54 \times 78 + 46 \times 78$
|
||||
\end{enumerate}
|
||||
|
||||
\end{multicols}
|
||||
|
||||
\item Explique comment tu as fait en une ou deux phrases.
|
||||
|
||||
\vspace{4cm}
|
||||
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{0}
|
||||
|
||||
\pagebreak
|
||||
\begin{Exo}
|
||||
\begin{enumerate}
|
||||
\item Relier les expressions égales entres elles (certaines peuvent ne pas être relier). Puis écrire l'égalité trouvée.
|
||||
|
||||
\begin{minipage}[c]{0.2\textwidth}
|
||||
\flushright
|
||||
$ 11 \times 56 - 56 \qquad \bullet$ \\[0.5cm]
|
||||
$ 11 \times 65 - 65 \qquad \bullet$ \\[0.5cm]
|
||||
$ 9 \times 55 + 55 \qquad \bullet$ \\[0.5cm]
|
||||
$ 99 \times 56 + 56 \qquad \bullet$ \\[0.5cm]
|
||||
$ 12 \times 64 - 2 \times 64 \qquad \bullet$ \\[0.5cm]
|
||||
$ 102 \times 65 - 2 \times 65 \qquad \bullet$
|
||||
|
||||
\end{minipage}
|
||||
\hspace{2cm}
|
||||
\begin{minipage}[c]{0.1\textwidth}
|
||||
\begin{itemize}
|
||||
\item $100 \times 66$
|
||||
\item $10 \times 65$
|
||||
\item $100 \times 55$
|
||||
\item $10 \times 55$
|
||||
\item $10 \times 64$
|
||||
\item $10 \times 56$
|
||||
\item $100 \times 65$
|
||||
\item $9 \times 65$
|
||||
\item $100 \times 56$
|
||||
\item $10 \times 57$
|
||||
\end{itemize}
|
||||
|
||||
\end{minipage}
|
||||
|
||||
\item Réécrire les calculs suivants en un seul calcul plus simple puis faire le calcul.
|
||||
\begin{multicols}{2}
|
||||
\begin{enumerate}
|
||||
\item $11 \times 23 - 23$
|
||||
\item $11 \times 543 - 543$
|
||||
\item $9 \times 39 + 39$
|
||||
\item $9 \times 93 + 93$
|
||||
\item $102 \times 45 - 2 \times 45$
|
||||
\item $103 \times 78 - 3 \times 78$
|
||||
\item $98 \times 54 + 2 \times 54$
|
||||
\item $54 \times 78 + 46 \times 78$
|
||||
\end{enumerate}
|
||||
|
||||
\end{multicols}
|
||||
|
||||
\item Explique comment tu as fait en une ou deux phrases.
|
||||
|
||||
\vspace{4cm}
|
||||
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{0}
|
||||
|
||||
\pagebreak
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
5e/Nombres_et_calculs/Expression_litterale/lettre_polyedres.odt
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BIN
5e/Nombres_et_calculs/Expression_litterale/lettre_polyedres.odt
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5e/Nombres_et_calculs/Expression_litterale/lettre_polyedres.pdf
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5e/Nombres_et_calculs/Expression_litterale/lettre_polyedres.pdf
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39
5e/Nombres_et_calculs/Nombres_relatifs_et_reperage/Difference_de_buts.tex
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39
5e/Nombres_et_calculs/Nombres_relatifs_et_reperage/Difference_de_buts.tex
Executable file
@@ -0,0 +1,39 @@
|
||||
\documentclass[a4paper,10pt,xcolor=table]{/media/documents/Cours/Prof/Enseignements/tools/style/classPres}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
|
||||
|
||||
\author{}
|
||||
\title{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{frame}{Championnat de football de Mayotte \\ 2014}
|
||||
|
||||
\begin{center}
|
||||
\begin{tabular}{|c|c|c|c|}
|
||||
\hline
|
||||
& Buts marqués & Buts encaissés & Différence \\
|
||||
\hline
|
||||
Miracle du sud & 47 & 43 & \\
|
||||
\hline
|
||||
FC Mtsapéré & 39 & 21 & \\
|
||||
\hline
|
||||
ASC Kaweni & 36 & 39 & \\
|
||||
\hline
|
||||
Foudre 2000 & 32 & 43 & \\
|
||||
\hline
|
||||
FCO Tsingoni & 37 & 38 & \\
|
||||
\hline
|
||||
Diables noirs & 33 & 26 & \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\medskip
|
||||
|
||||
Classer les équipes en fonction de leur différence de buts.
|
||||
\end{center}
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
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|
||||
\documentclass[a4paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classCours}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
|
||||
|
||||
% Title Page
|
||||
\titre{Cours nombres relatifs}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{510}
|
||||
\date{3 septembre 2015}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
%\maketitle
|
||||
|
||||
Les mathématiciens ont inventé les nombres négatifs pour que la soustraction soit toujours possible.
|
||||
|
||||
-15 est le résultat de la soustraction 0 - 15
|
||||
|
||||
\begin{itemize}
|
||||
\item -15 et -6,3 sont des nombres \textbf{négatifs}.
|
||||
\item 85 et 3,7 sont des nombres \textbf{positifs}.
|
||||
\end{itemize}
|
||||
|
||||
\begin{center}
|
||||
\Ovalbox{
|
||||
\makebox{Un nombre relatif est un nombre négatif ou positif}
|
||||
}
|
||||
\end{center}
|
||||
|
||||
Attention, le "-" de "-15" n'est pas une soustraction: c'est la marque qui permet de dire que le nombre est négatif.
|
||||
|
||||
Dans la vie courante on peut dire:
|
||||
\begin{itemize}
|
||||
\item La température est de $-7^{o}$C.
|
||||
\item Le plongeur est descendu à -50m.
|
||||
\item Le solde de votre compte est de -400\euro.
|
||||
\item L'ascenseur s'est arrêté à l'étage -2.
|
||||
\item L'écriture à été inventé en -3000.
|
||||
\end{itemize}
|
||||
|
||||
~\\
|
||||
|
||||
Les mathématiciens ont inventé les nombres négatifs pour que la soustraction soit toujours possible.
|
||||
|
||||
-15 est le résultat de la soustraction 0 - 15
|
||||
|
||||
\begin{itemize}
|
||||
\item -15 et -6,3 sont des nombres \textbf{négatifs}.
|
||||
\item 85 et 3,7 sont des nombres \textbf{positifs}.
|
||||
\end{itemize}
|
||||
|
||||
\begin{center}
|
||||
\Ovalbox{
|
||||
\makebox{Un nombre relatif est un nombre négatif ou positif}
|
||||
}
|
||||
\end{center}
|
||||
|
||||
Attention, le "-" de "-15" n'est pas une soustraction: c'est la marque qui permet de dire que le nombre est négatif.
|
||||
|
||||
Dans la vie courante on peut dire:
|
||||
\begin{itemize}
|
||||
\item La température est de $-7^{o}$C.
|
||||
\item Le plongeur est descendu à -50m.
|
||||
\item Le solde de votre compte est de -400\euro.
|
||||
\item L'ascenseur s'est arrêté à l'étage -2.
|
||||
\item L'écriture à été inventé en -3000.
|
||||
\end{itemize}
|
||||
|
||||
~\\[-0.5cm]
|
||||
|
||||
Les mathématiciens ont inventé les nombres négatifs pour que la soustraction soit toujours possible.
|
||||
|
||||
-15 est le résultat de la soustraction 0 - 15
|
||||
|
||||
\begin{itemize}
|
||||
\item -15 et -6,3 sont des nombres \textbf{négatifs}.
|
||||
\item 85 et 3,7 sont des nombres \textbf{positifs}.
|
||||
\end{itemize}
|
||||
|
||||
\begin{center}
|
||||
\Ovalbox{
|
||||
\makebox{Un nombre relatif est un nombre négatif ou positif}
|
||||
}
|
||||
\end{center}
|
||||
|
||||
Attention, le "-" de "-15" n'est pas une soustraction: c'est la marque qui permet de dire que le nombre est négatif.
|
||||
|
||||
Dans la vie courante on peut dire:
|
||||
\begin{itemize}
|
||||
\item La température est de $-7^{o}$C.
|
||||
\item Le plongeur est descendu à -50m.
|
||||
\item Le solde de votre compte est de -400\euro.
|
||||
\item L'ascenseur s'est arrêté à l'étage -2.
|
||||
\item L'écriture à été inventé en -3000.
|
||||
\end{itemize}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
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|
||||
\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2014_2015}
|
||||
|
||||
% Title Page
|
||||
\titre{Bataille Navale - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{510}
|
||||
\date{11 septembre 2015}
|
||||
|
||||
|
||||
\begin{document}
|
||||
|
||||
\Huge Grille professeur
|
||||
\Large
|
||||
|
||||
\hspace{2cm}
|
||||
\begin{tikzpicture}[scale=0.8]
|
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\draw[very thin, gray] (-5,-5) grid (5,5);
|
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\draw[->, very thick] (-5,0) -- (5,0);
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\clip (-5,-5) rectangle (5,5);
|
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\end{tikzpicture}
|
||||
|
||||
\Huge Grille élève
|
||||
\Large
|
||||
|
||||
\hspace{2cm}
|
||||
\begin{tikzpicture}[scale=0.8]
|
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\draw[very thin, gray] (-5,-5) grid (5,5);
|
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\draw[->, very thick] (-5,0) -- (5,0);
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\draw[->, very thick] (0,-5) -- (0,5);
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\draw (0,0) node[below left] {0};
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\clip (-5,-5) rectangle (5,5);
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\end{tikzpicture}
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|
||||
|
||||
\Huge Grille professeur
|
||||
\Large
|
||||
|
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\hspace{2cm}
|
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\begin{tikzpicture}[scale=0.8]
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\end{tikzpicture}
|
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|
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\Huge Grille élève
|
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\Large
|
||||
|
||||
\hspace{2cm}
|
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\begin{tikzpicture}[scale=0.8]
|
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\draw[very thin, gray] (-5,-5) grid (5,5);
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\draw[->, very thick] (-5,0) -- (5,0);
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\draw (0,0) node[below left] {0};
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\draw (0,1) node[rotate=90, scale = 0.7] {|} node[left] {1};
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\end{tikzpicture}
|
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\end{document}
|
||||
|
||||
%%% 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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5e/Nombres_et_calculs/Nombres_relatifs_et_reperage/dessins.pdf
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5e/Nombres_et_calculs/Nombres_relatifs_et_reperage/index.rst
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74
5e/Nombres_et_calculs/Nombres_relatifs_et_reperage/index.rst
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Notes autour du chapitre Nombres relatifs et repérage
|
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#####################################################
|
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|
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:date: 2016-02-22
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:modified: 2015-08-12
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:tags: Nombres et calculs
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:category: 5e
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:authors: Bertrand Benjamin
|
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:summary: Déroulement des séquences d'introduction aux nombres relatifs.
|
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|
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Ce chapitre est une introduction à la notion de nombre négatif. Il est très très largement inspiré (voir plagié...) du bouquin *Les maths ensemble et pour chacuns*.
|
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|
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Séquence 1
|
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==========
|
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|
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Au tableau on pose des soustractions. Les premières sont là pour que les élèves se rappelle comment on fait (sans entrer dans la technicité) et on en pose quelques unes où les résultats seront négatifs (qu'ils considèreront comme impossible)
|
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|
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19 - 5; 20 - 4; 34 - 12; 14 - 16; 21 - 30
|
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|
||||
Peu de temps leur est laissé. On met en commun en classe entière et on discute des derniers calculs. Il est important de mettre l'accent sur le sens de la soustraction pour arriver à donner un sens aux derniers calculs.
|
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|
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On laisse une trace du raisonnement de plénière dans le cahier de bord.
|
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|
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On peut en refaire quelque uns en insistant sur le sens à donner à ces calculs.
|
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|
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On leur donne une trace à laisser dans le cahier de résumé.
|
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|
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Ce que j'aime bien dans cette séquence c'est que les 3 cahiers sont utilisés, ce qui en fait une bonne première séquence.
|
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|
||||
Séquence 2
|
||||
==========
|
||||
|
||||
On veut comparer les nombres relatifs. Il va disposer d'une série de nombres à mettre dans l'ordre croissant (il faudra certainement rappeler ce que ça veut dire!)
|
||||
|
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12; 10; -6; 0; ... (ne pas hésiter à mettre un nombre à virgule)
|
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|
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Encore une fois, on ne les laisse pas longtemps dans la panade! Et des questions plus simples peuvent apparaitre "Quels sont les 3 plus grands?" "Quels sont les 3 plus petit?"...
|
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|
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On trace un axe avec uniquement l'unité pour les inciter à placer ces nombres sur l'axe et ainsi retrouver l'ordre croissant.
|
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|
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On laisse une trace dans le cahier de bord.
|
||||
|
||||
|
||||
|
||||
Séquence 3
|
||||
==========
|
||||
|
||||
Exercice du labyrinthe, ça n'a absolument pas marché! Beaucoup trop dure pour mes élèves. On a passé trop de temps, jusqu'à abandonner l'activité qui mettait tous les élèves en difficulté.
|
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|
||||
Séquence 4
|
||||
==========
|
||||
|
||||
Mise en place de la bataille naval (attention au vocabulaire Bataille navale - Touché Coulé ...). Voit comment on va pouvoir toucher les bateaux des autres, on explique les règles.
|
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|
||||
Puis toutes les semaines je tire et toutes les groupes tirent.
|
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|
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|
||||
Séquence 5
|
||||
==========
|
||||
Juste avant la formalisation du repère, on cherche tous mes bateaux (travail en groupe pour chacun puisse tirer et que les élèves n'attendent pas trop).
|
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|
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Exercice où l'on cherche les coordonnées de points. C'est le moment de fixer la notation A(a;b)
|
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|
||||
Cours avec le vocabulaire et les notations.
|
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|
||||
Séquence 6
|
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==========
|
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|
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On donne un image dessinée sur un repère à chaque groupe. Il doit écrire une explication (sans faire de dessins) pour reproduire le dessin.
|
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|
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Les images en questions étaient mille fois trop dure à reproduire et le quadrillage était trop petit...
|
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|
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Les explications sont passées à un autre groupe qui doit à son tour refaire le dessin.
|
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|
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1133
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After Width: | Height: | Size: 20 KiB |
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After Width: | Height: | Size: 69 KiB |
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Reference in New Issue
Block a user