import work from year 2015-2016
This commit is contained in:
Benjamin Bertrand
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3e/Fonctions/Fonctions_affines/TC_enclos.pdf
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3e/Fonctions/Fonctions_affines/TC_enclos.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{Fonction - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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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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Dans son garage, Abdou a 21m de grillage. Il décide de l'utiliser pour faire un enclos rectangulaire le plus grand possible pour ses poules. Afin d'obtenir un enclos encore plus grand, il veut utiliser le mur du jardin qui formera un côté. Le grillage formera les 3 autres.
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\\[0.5cm]
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Trouver comment placer ces piquets afin que les poules aient le plus d'espace possible.
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\\[0.5cm]
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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Dans son garage, Abdou a 21m de grillage. Il décide de l'utiliser pour faire un enclos rectangulaire le plus grand possible pour ses poules. Afin d'obtenir un enclos encore plus grand, il veut utiliser le mur du jardin qui formera un côté. Le grillage formera les 3 autres.
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\\[0.5cm]
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Trouver comment placer ces piquets afin que les poules aient le plus d'espace possible.
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\\[0.5cm]
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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Dans son garage, Abdou a 21m de grillage. Il décide de l'utiliser pour faire un enclos rectangulaire le plus grand possible pour ses poules. Afin d'obtenir un enclos encore plus grand, il veut utiliser le mur du jardin qui formera un côté. Le grillage formera les 3 autres.
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\\[0.5cm]
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Trouver comment placer ces piquets afin que les poules aient le plus d'espace possible.
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\\[0.5cm]
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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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Dans son garage, Abdou a 21m de grillage. Il décide de l'utiliser pour faire un enclos rectangulaire le plus grand possible pour ses poules. Afin d'obtenir un enclos encore plus grand, il veut utiliser le mur du jardin qui formera un côté. Le grillage formera les 3 autres.
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\\[0.5cm]
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Trouver comment placer ces piquets afin que les poules aient le plus d'espace possible.
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\\[0.5cm]
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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Dans son garage, Abdou a 21m de grillage. Il décide de l'utiliser pour faire un enclos rectangulaire le plus grand possible pour ses poules. Afin d'obtenir un enclos encore plus grand, il veut utiliser le mur du jardin qui formera un côté. Le grillage formera les 3 autres.
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\\[0.5cm]
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Trouver comment placer ces piquets afin que les poules aient le plus d'espace possible.
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\\[0.5cm]
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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Dans son garage, Abdou a 21m de grillage. Il décide de l'utiliser pour faire un enclos rectangulaire le plus grand possible pour ses poules. Afin d'obtenir un enclos encore plus grand, il veut utiliser le mur du jardin qui formera un côté. Le grillage formera les 3 autres.
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\\[0.5cm]
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Trouver comment placer ces piquets afin que les poules aient le plus d'espace possible.
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\\[0.5cm]
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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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3e/Fonctions/Fonctions_affines/carre_triangle.ggb
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3e/Fonctions/Fonctions_affines/carre_triangle.ggb
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3e/Fonctions/Fonctions_affines/carre_triangle.pdf
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3e/Fonctions/Fonctions_affines/carre_triangle.pdf
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3e/Fonctions/Fonctions_affines/index.rst
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3e/Fonctions/Fonctions_affines/index.rst
Normal file
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Notes autour du chapitre sur les fonctions affines pour les 3e
|
||||
##############################################################
|
||||
|
||||
:date: 2016-05-20
|
||||
:modified: 2016-07-06
|
||||
:tags: fonctions
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
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:summary: Deuxième chapitre sur les fonction pour les 3e: les fonctions affines.
|
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<++ contenu ++>
|
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BIN
3e/Fonctions/Fonctions_affines/modelisation_TICE.pdf
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BIN
3e/Fonctions/Fonctions_affines/modelisation_TICE.pdf
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3e/Fonctions/Fonctions_affines/modelisation_TICE.tex
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3e/Fonctions/Fonctions_affines/modelisation_TICE.tex
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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions et tableur - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième }
|
||||
\date{Avril 2016}
|
||||
|
||||
|
||||
\begin{document}
|
||||
|
||||
|
||||
\begin{Exo}
|
||||
Brahim décide d'aller régulièrement à la piscine pendant un an. Voici les tarifs proposés:
|
||||
\begin{itemize}
|
||||
\item Tarif "Abonné": 100\euro par an, nombre illimité d'entrées.
|
||||
\item Tarif "Adhérant": 40\euro d'adhésion par an puis 1\euro par entrée.
|
||||
\item Tarif "Libre": 2\euro par entrée.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Quel prix paiera-t-il avec chaque tarif, s'il va à la piscine une fois par mois? Quel sera le tarif le plus intéressant dans ce cas?
|
||||
\item Reproduire le tableau ci dessous sur le tableur (on ira jusqu'à 100 entrées)
|
||||
|
||||
\includegraphics[scale=0.4]{./fig/tableur_tarif_exo}
|
||||
|
||||
\item Que doit-on entrer dans les cases \texttt{B2}, \texttt{C2} et \texttt{D2} puis tirer vers le bas pour calculer le prix pour chaque tarif?
|
||||
\item Tracer le graphique pour tous ces prix.
|
||||
\item À partir des graphiques, décrire quand il est intéressant de choisir le tarif 'Adhérent'.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
\begin{minipage}{0.2\textwidth}
|
||||
On considère un segment $AB = 8cm$. On place le point $C$ sur ce segment (que l'on bougera par la suite). Puis on construit le carré $ACDE$ et le triangle équilatérale $CBF$ comme sur le dessin ci-contre.
|
||||
\end{minipage}
|
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\begin{minipage}{0.2\textwidth}
|
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\includegraphics[scale=0.6]{./carre_triangle}
|
||||
\end{minipage}
|
||||
\begin{enumerate}
|
||||
\item Si on place le point $C$ à 2cm de $A$ quel sera le périmètre du carré $ACDE$? Et celui du triangle $CBF$?
|
||||
\item Construire avec le tableur un tableur avec 3 colonnes. La première colonne la longueur $AC$, la deuxième la périmètre de $ACDE$ et la troisième la périmètre de $CBF$.
|
||||
\item Quels sont les formules entrées dans le tableur pour faire les calculs?
|
||||
\item Tracer le graphique correspondant au tableur.
|
||||
\item À quelle distance $C$ doit être de $A$ pour que les formes aient le même périmètre?
|
||||
\end{enumerate}
|
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\end{Exo}
|
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|
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|
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\setcounter{exo}{0}
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\pagebreak
|
||||
|
||||
|
||||
\begin{Exo}
|
||||
Brahim décide d'aller régulièrement à la piscine pendant un an. Voici les tarifs proposés:
|
||||
\begin{itemize}
|
||||
\item Tarif "Abonné": 100\euro par an, nombre illimité d'entrées.
|
||||
\item Tarif "Adhérant": 40\euro d'adhésion par an puis 1\euro par entrée.
|
||||
\item Tarif "Libre": 2\euro par entrée.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Quel prix paiera-t-il avec chaque tarif, s'il va à la piscine une fois par mois? Quel sera le tarif le plus intéressant dans ce cas?
|
||||
\item Reproduire le tableau ci dessous sur le tableur (on ira jusqu'à 100 entrées)
|
||||
|
||||
\includegraphics[scale=0.4]{./fig/tableur_tarif_exo}
|
||||
|
||||
\item Que doit-on entrer dans les cases \texttt{B2}, \texttt{C2} et \texttt{D2} puis tirer vers le bas pour calculer le prix pour chaque tarif?
|
||||
\item Tracer le graphique pour tous ces prix.
|
||||
\item À partir des graphiques, décrire quand il est intéressant de choisir le tarif 'Adhérent'.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
\begin{minipage}{0.2\textwidth}
|
||||
On considère un segment $AB = 8cm$. On place le point $C$ sur ce segment (que l'on bougera par la suite). Puis on construit le carré $ACDE$ et le triangle équilatérale $CBF$ comme sur le dessin ci-contre.
|
||||
\end{minipage}
|
||||
\begin{minipage}{0.2\textwidth}
|
||||
\includegraphics[scale=0.6]{./carre_triangle}
|
||||
\end{minipage}
|
||||
\begin{enumerate}
|
||||
\item Si on place le point $C$ à 2cm de $A$ quel sera le périmètre du carré $ACDE$? Et celui du triangle $CBF$?
|
||||
\item Construire avec le tableur un tableur avec 3 colonnes. La première colonne la longueur $AC$, la deuxième la périmètre de $ACDE$ et la troisième la périmètre de $CBF$.
|
||||
\item Quels sont les formules entrées dans le tableur pour faire les calculs?
|
||||
\item Tracer le graphique correspondant au tableur.
|
||||
\item À quelle distance $C$ doit être de $A$ pour que les formes aient le même périmètre?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
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||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_affines/tarif_piscine.ods
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BIN
3e/Fonctions/Fonctions_affines/tarif_piscine.ods
Normal file
Binary file not shown.
BIN
3e/Fonctions/Fonctions_affines/tarif_piscine_graph.pdf
Normal file
BIN
3e/Fonctions/Fonctions_affines/tarif_piscine_graph.pdf
Normal file
Binary file not shown.
8667
3e/Fonctions/Fonctions_affines/tarif_piscine_graph.svg
Normal file
8667
3e/Fonctions/Fonctions_affines/tarif_piscine_graph.svg
Normal file
File diff suppressed because it is too large
Load Diff
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After Width: | Height: | Size: 394 KiB |
BIN
3e/Fonctions/Fonctions_lineaires/deux_prix.pdf
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/deux_prix.pdf
Normal file
Binary file not shown.
134
3e/Fonctions/Fonctions_lineaires/deux_prix.tex
Normal file
134
3e/Fonctions/Fonctions_lineaires/deux_prix.tex
Normal file
@@ -0,0 +1,134 @@
|
||||
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Février 2016}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{Exo}
|
||||
Chez le boucher, on peut voir les deux prix suivants:
|
||||
\begin{itemize}
|
||||
\item Type de viande 1: 300g de viande pour 5,7\euro.
|
||||
\item Type de viande 2: 1,3kg de viande pour 23,4\euro.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Je veux acheter 500g de viande. Quel est le prix le plus intéressant?
|
||||
\item Je veux acheter 5kg de viande. Quel est le prix le plus intéressant?
|
||||
\item De manière générale, si je veux dépenser le moins possible, quel type de viande dois-je choisir? \textit{Trouver le plus de façon possible de justifier ce choix.}
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
Deux magasins de vêtements proposent les soldes suivantes:
|
||||
\begin{itemize}
|
||||
\item Le magasin A: Tout est vendu au $\frac{3}{4}$ du prix initial.
|
||||
\item Le magasin B: Tout à $-20\%$.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item J'achète une chemise à 44\euro hors solde. Où dois-je l'acheter?
|
||||
\item J'achète une robe à 124\euro hors solde. Où dois-je l'acheter?
|
||||
\item Quel magasin propose les plus grosses soldes?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
||||
|
||||
\begin{Exo}
|
||||
Chez le boucher, on peut voir les deux prix suivants:
|
||||
\begin{itemize}
|
||||
\item Type de viande 1: 300g de viande pour 5,7\euro.
|
||||
\item Type de viande 2: 1,3kg de viande pour 23,4\euro.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Je veux acheter 500g de viande. Quel est le prix le plus intéressant?
|
||||
\item Je veux acheter 5kg de viande. Quel est le prix le plus intéressant?
|
||||
\item De manière générale, si je veux dépenser le moins possible, quel type de viande dois-je choisir? \textit{Trouver le plus de façon possible de justifier ce choix.}
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
Deux magasins de vêtements proposent les soldes suivantes:
|
||||
\begin{itemize}
|
||||
\item Le magasin A: Tout est vendu au $\frac{3}{4}$ du prix initial.
|
||||
\item Le magasin B: Tout à $-20\%$.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item J'achète une chemise à 44\euro hors solde. Où dois-je l'acheter?
|
||||
\item J'achète une robe à 124\euro hors solde. Où dois-je l'acheter?
|
||||
\item Quel magasin propose les plus grosses soldes?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\pagebreak
|
||||
\begin{Exo}
|
||||
Chez le boucher, on peut voir les deux prix suivants:
|
||||
\begin{itemize}
|
||||
\item Type de viande 1: 300g de viande pour 5,7\euro.
|
||||
\item Type de viande 2: 1,3kg de viande pour 23,4\euro.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Je veux acheter 500g de viande. Quel est le prix le plus intéressant?
|
||||
\item Je veux acheter 5kg de viande. Quel est le prix le plus intéressant?
|
||||
\item De manière générale, si je veux dépenser le moins possible, quel type de viande dois-je choisir? \textit{Trouver le plus de façon possible de justifier ce choix.}
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
Deux magasins de vêtements proposent les soldes suivantes:
|
||||
\begin{itemize}
|
||||
\item Le magasin A: Tout est vendu au $\frac{3}{4}$ du prix initial.
|
||||
\item Le magasin B: Tout à $-20\%$.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item J'achète une chemise à 44\euro hors solde. Où dois-je l'acheter?
|
||||
\item J'achète une robe à 124\euro hors solde. Où dois-je l'acheter?
|
||||
\item Quel magasin propose les plus grosses soldes?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{0}
|
||||
\vfill
|
||||
|
||||
\begin{Exo}
|
||||
Chez le boucher, on peut voir les deux prix suivants:
|
||||
\begin{itemize}
|
||||
\item Type de viande 1: 300g de viande pour 5,7\euro.
|
||||
\item Type de viande 2: 1,3kg de viande pour 23,4\euro.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Je veux acheter 500g de viande. Quel est le prix le plus intéressant?
|
||||
\item Je veux acheter 5kg de viande. Quel est le prix le plus intéressant?
|
||||
\item De manière générale, si je veux dépenser le moins possible, quel type de viande dois-je choisir? \textit{Trouver le plus de façon possible de justifier ce choix.}
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
Deux magasins de vêtements proposent les soldes suivantes:
|
||||
\begin{itemize}
|
||||
\item Le magasin A: Tout est vendu au $\frac{3}{4}$ du prix initial.
|
||||
\item Le magasin B: Tout à $-20\%$.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item J'achète une chemise à 44\euro hors solde. Où dois-je l'acheter?
|
||||
\item J'achète une robe à 124\euro hors solde. Où dois-je l'acheter?
|
||||
\item Quel magasin propose les plus grosses soldes?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\pagebreak
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/echelles.pdf
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/echelles.pdf
Normal file
Binary file not shown.
114
3e/Fonctions/Fonctions_lineaires/echelles.tex
Normal file
114
3e/Fonctions/Fonctions_lineaires/echelles.tex
Normal file
@@ -0,0 +1,114 @@
|
||||
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Février 2016}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\begin{Exo}
|
||||
On a deux cartes en main.
|
||||
\begin{itemize}
|
||||
\item Sur la carte 1, une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\item Sur la carte 2, un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item On note $x$ la taille d'un objet en vrai. Expliquer grâce à un calcul comment calculer la taille de l'objet sur la carte.
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\begin{Exo}
|
||||
On a deux cartes en main.
|
||||
\begin{itemize}
|
||||
\item Sur la carte 1, une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\item Sur la carte 2, un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item On note $x$ la taille d'un objet en vrai. Expliquer grâce à un calcul comment calculer la taille de l'objet sur la carte.
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\begin{Exo}
|
||||
On a deux cartes en main.
|
||||
\begin{itemize}
|
||||
\item Sur la carte 1, une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\item Sur la carte 2, un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item On note $x$ la taille d'un objet en vrai. Expliquer grâce à un calcul comment calculer la taille de l'objet sur la carte.
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\pagebreak
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\begin{Exo}
|
||||
On a deux cartes en main.
|
||||
\begin{itemize}
|
||||
\item Sur la carte 1, une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\item Sur la carte 2, un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item On note $x$ la taille d'un objet en vrai. Expliquer grâce à un calcul comment calculer la taille de l'objet sur la carte.
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\begin{Exo}
|
||||
On a deux cartes en main.
|
||||
\begin{itemize}
|
||||
\item Sur la carte 1, une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\item Sur la carte 2, un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item On note $x$ la taille d'un objet en vrai. Expliquer grâce à un calcul comment calculer la taille de l'objet sur la carte.
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\setcounter{exo}{2}
|
||||
\begin{Exo}
|
||||
On a deux cartes en main.
|
||||
\begin{itemize}
|
||||
\item Sur la carte 1, une église qui mesure 23m mesure 4cm sur la carte.
|
||||
\item Sur la carte 2, un stade de foot qui mesure 90m mesure 15,4cm sur la carte.
|
||||
\end{itemize}
|
||||
\begin{enumerate}
|
||||
\item Sur les 2 cartes il y a un stand de frites qui mesure 1,2cm. Lequel de ces deux stands est le plus grand?
|
||||
\item On voudrait installer un chapiteau de 20m de diamètre. Quel serait sa taille sur chacune des cartes?
|
||||
\item On note $x$ la taille d'un objet en vrai. Expliquer grâce à un calcul comment calculer la taille de l'objet sur la carte.
|
||||
\item Laquelle de ces deux cartes rétrécie le moins les choses?
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\pagebreak
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.pdf
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.pdf
Normal file
Binary file not shown.
31
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.tex
Normal file
31
3e/Fonctions/Fonctions_lineaires/fct_tbleur_corr.tex
Normal file
@@ -0,0 +1,31 @@
|
||||
\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Février 2016}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
\includegraphics[scale=0.4]{./fig/tbl_poids_prix_corr}
|
||||
\vfill
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix.png
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 12 KiB |
BIN
3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix_corr.png
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/fig/tbl_poids_prix_corr.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 61 KiB |
52
3e/Fonctions/Fonctions_lineaires/index.rst
Normal file
52
3e/Fonctions/Fonctions_lineaires/index.rst
Normal file
@@ -0,0 +1,52 @@
|
||||
Notes sur le chapitre fonctions linéaires pour les 3e
|
||||
#####################################################
|
||||
|
||||
:date: 2016-02-16
|
||||
:modified: 2016-02-16
|
||||
:tags: Fonctions, proportionnalité, TICE
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Premier chapitre sur les fonctions pour les 3e.
|
||||
|
||||
C'est un premier court chapitre sur les fonctions et plus particulièrement sur les fonctions linéaires. Une `activité <../../Expression_litterale/Equation_premier_degree>`_ tiré des 3acts de Dan Meyer nous a déjà permis de construire une formule et de l'utiliser sur le tableur.
|
||||
|
||||
Dans ce chapitre, on va surtout traiter de situations proportionnalités. Nous allons synthétiser les connaissances des années précédentes qui sont en général peu acquis par les élèves.
|
||||
|
||||
Situations de proportionnalités:
|
||||
|
||||
- Échelle et carte
|
||||
- Prix et quantité
|
||||
- Fraction et réduction
|
||||
- Temps (heures, minutes...)
|
||||
|
||||
Séance 1
|
||||
========
|
||||
|
||||
Séance avec le tableur. On pose les exercices `suivants <./deux_prix.pdf>`_. Ces exercices en plus de travailler à la construction d'une formule refait travailler la proportionnalité et les unités.
|
||||
Dans la pratiques, les élèves étaient tellement à côté de la plaque qu'on a pu faire que le premier exercice.
|
||||
|
||||
Séance 2
|
||||
========
|
||||
|
||||
On continue avec les problèmes de proportionnalités. L'exercice deux de la fiche est mis de côté, on donne un autre exercice au sujet des échelles (`le voici <./echelles.pdf>`_). Le but étant de gagner en autonomie pour construire des formules.
|
||||
|
||||
Séance 3
|
||||
========
|
||||
|
||||
Rédaction du cours sur les fonctions linéaires.
|
||||
|
||||
On reprend en exemple l'exercice sur les prix des types de viande (comme dans un cahier de bord) en mettant l'accent sur la construction de formule ou d'un lien entre deux quantités. Puis on explique qu'une fonction est un lien entre deux quantités (ici la quantité de viande et le prix) et on fait le lien entre la phrase pour décrire une fonction et la notation mathématique.
|
||||
|
||||
Viennent ensuite les définitions de fonctions et de fonctions linéaires.
|
||||
|
||||
Une fonction est un objet mathématique qui permet de lier deux quantités.
|
||||
|
||||
Une fonction est linéaire quand elle consiste à faire une multiplication. C'est à dire qu'elle est de la forme
|
||||
|
||||
.. math::
|
||||
f:x\mapsto a\times x \mbox{ avec a un nombre}
|
||||
|
||||
Séance 4
|
||||
========
|
||||
|
||||
Activité avec le tableur. Le but étant de tracer les fonctions associées aux exercices précédents. Le but étant de voir que leurs graphiques ont toujours la même forme et de revoir comment lire un graphique.
|
||||
BIN
3e/Fonctions/Fonctions_lineaires/prix_tableur.ods
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/prix_tableur.ods
Normal file
Binary file not shown.
BIN
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.pdf
Normal file
BIN
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.pdf
Normal file
Binary file not shown.
92
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.tex
Normal file
92
3e/Fonctions/Fonctions_lineaires/tracer_fct_tbleur.tex
Normal file
@@ -0,0 +1,92 @@
|
||||
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||||
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
|
||||
|
||||
% Title Page
|
||||
\titre{Fonctions linéaires - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\classe{Troisième}
|
||||
\date{Février 2016}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\setcounter{exo}{3}
|
||||
\begin{Exo}
|
||||
Dans cette activité, nous allons tracer le graphique correspondant aux formules trouvées dans les exercices 1 et 3.
|
||||
\begin{enumerate}
|
||||
\item On analyse les formules de l'exercice 1.
|
||||
\begin{enumerate}
|
||||
\item Reproduire puis completer le tableau suivant en allant jusqu'à 3kg de viande.
|
||||
\includegraphics[scale=0.3]{./fig/tbl_poids_prix}
|
||||
\item Quelle formule avez vous tapé dans la cellule \texttt{B2} puis recopié vers le bas? Même question pour la cellule \texttt{C2}.
|
||||
\item Tracer le graphique correspondant à ce tableau.
|
||||
\item Que peut-on dire de ce graphique?
|
||||
\end{enumerate}
|
||||
\item Refaire la même analyse avec les données et les formules de l'exercice 3.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\vfill
|
||||
|
||||
\setcounter{exo}{3}
|
||||
\begin{Exo}
|
||||
Dans cette activité, nous allons tracer le graphique correspondant aux formules trouvées dans les exercices 1 et 3.
|
||||
\begin{enumerate}
|
||||
\item On analyse les formules de l'exercice 1.
|
||||
\begin{enumerate}
|
||||
\item Reproduire puis completer le tableau suivant en allant jusqu'à 3kg de viande.
|
||||
\includegraphics[scale=0.3]{./fig/tbl_poids_prix}
|
||||
\item Quelle formule avez vous tapé dans la cellule \texttt{B2} puis recopié vers le bas? Même question pour la cellule \texttt{C2}.
|
||||
\item Tracer le graphique correspondant à ce tableau.
|
||||
\item Que peut-on dire de ce graphique?
|
||||
\end{enumerate}
|
||||
\item Refaire la même analyse avec les données et les formules de l'exercice 3.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\pagebreak
|
||||
|
||||
\setcounter{exo}{3}
|
||||
\begin{Exo}
|
||||
Dans cette activité, nous allons tracer le graphique correspondant aux formules trouvées dans les exercices 1 et 3.
|
||||
\begin{enumerate}
|
||||
\item On analyse les formules de l'exercice 1.
|
||||
\begin{enumerate}
|
||||
\item Reproduire puis completer le tableau suivant en allant jusqu'à 3kg de viande.
|
||||
\includegraphics[scale=0.3]{./fig/tbl_poids_prix}
|
||||
\item Quelle formule avez vous tapé dans la cellule \texttt{B2} puis recopié vers le bas? Même question pour la cellule \texttt{C2}.
|
||||
\item Tracer le graphique correspondant à ce tableau.
|
||||
\item Que peut-on dire de ce graphique?
|
||||
\end{enumerate}
|
||||
\item Refaire la même analyse avec les données et les formules de l'exercice 3.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\vfill
|
||||
|
||||
\setcounter{exo}{3}
|
||||
\begin{Exo}
|
||||
Dans cette activité, nous allons tracer le graphique correspondant aux formules trouvées dans les exercices 1 et 3.
|
||||
\begin{enumerate}
|
||||
\item On analyse les formules de l'exercice 1.
|
||||
\begin{enumerate}
|
||||
\item Reproduire puis completer le tableau suivant en allant jusqu'à 3kg de viande.
|
||||
\includegraphics[scale=0.3]{./fig/tbl_poids_prix}
|
||||
\item Quelle formule avez vous tapé dans la cellule \texttt{B2} puis recopié vers le bas? Même question pour la cellule \texttt{C2}.
|
||||
\item Tracer le graphique correspondant à ce tableau.
|
||||
\item Que peut-on dire de ce graphique?
|
||||
\end{enumerate}
|
||||
\item Refaire la même analyse avec les données et les formules de l'exercice 3.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\pagebreak
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Generalites/Tracer_fonction.pdf
Normal file
BIN
3e/Fonctions/Generalites/Tracer_fonction.pdf
Normal file
Binary file not shown.
31
3e/Fonctions/Generalites/Tracer_fonction.tex
Normal file
31
3e/Fonctions/Generalites/Tracer_fonction.tex
Normal file
@@ -0,0 +1,31 @@
|
||||
\begin{Exo}
|
||||
On veut étudier les trois fonctions suivantes:
|
||||
\begin{align*}
|
||||
f:x\mapsto 2x-2 \qquad g:x\mapsto(x-1)^2 - 3 \qquad h:x\mapsto \frac{1}{3}x^3 - x^2 - \frac{1}{3}x + 1
|
||||
\end{align*}
|
||||
|
||||
\begin{enumerate}
|
||||
\item À l'aide du tableur, tracer le graphique des fonctions suivantes
|
||||
On choisira $x$ variant de -5 à 5 avec un pas de 0,1.
|
||||
|
||||
\item
|
||||
\begin{enumerate}
|
||||
\item À l'aide de ce que vous venez de faire déterminer la valeur de $f(3)$ (on appelle cette valeur \textbf{l'image de 3 par la fonction $f$}).
|
||||
\item Quelle est l'image de -2 par la fonction $g$?
|
||||
\item Quelle est l'image de 1,22 par la fonction $f$?
|
||||
\item Expliquer en une phrase comment vous avez fait pour trouver ces images.
|
||||
\end{enumerate}
|
||||
\item
|
||||
\begin{enumerate}
|
||||
\item À l'aide du tableur, trouver la valeur de $x$ tel que $h(x) = 5$ (on appelle cette valeur \textbf{l'antécédent de 5 par la fonction $h$}).
|
||||
\item Quel est l'antécédent de 4 par la fonction $f$?
|
||||
\item Quels sont les antécédents de -2 par la fonction $g$?
|
||||
\item Expliquer en une phrase comment vous avez fait pour trouver ces antécédents..
|
||||
\end{enumerate}
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
3e/Fonctions/Generalites/Tracer_fonction_wraps.pdf
Normal file
BIN
3e/Fonctions/Generalites/Tracer_fonction_wraps.pdf
Normal file
Binary file not shown.
36
3e/Fonctions/Generalites/Tracer_fonction_wraps.tex
Normal file
36
3e/Fonctions/Generalites/Tracer_fonction_wraps.tex
Normal file
@@ -0,0 +1,36 @@
|
||||
\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
|
||||
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% Title Page
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\titre{Généralités sur les fonctions - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Mai 2016}
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Chapitre sur les généralités sur les fonctions pour les 3e
|
||||
##########################################################
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||||
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||||
:date: 2016-05-17
|
||||
:modified: 2016-07-06
|
||||
:tags: Fonctions, TICE
|
||||
:category: 3e
|
||||
:authors: Bertrand Benjamin
|
||||
:summary: Chapitre résumé de ce qu'on a déjà vu sur les fonctions et qui fixe le vocabulaire sur les fonctions.
|
||||
|
||||
Objectifs
|
||||
=========
|
||||
|
||||
Le but de ce chapitre est de faire le lien entre les 3 façons de représenter une fonction:
|
||||
|
||||
- Un tableau de valeur
|
||||
- Un graphique
|
||||
- Une formule
|
||||
|
||||
C'est aussi le moment où l'on fixe le vocabulaire *image* et *antécédent*.
|
||||
|
||||
|
||||
Déroulement
|
||||
===========
|
||||
|
||||
Les deux premières séances (ou partie de séance car cette partie était couplée avec la fin d'un autre chapitre) ont été dédiées à cette `fiche d'exercice <./Tracer_fonction.pdf>`_.
|
||||
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||||
La première consistait a tracer les trois fonctions avec le tableur. Le passage par le tableau de valeur était nécessaire et pour ne pas perdre de temps, il était intéressant d'utiliser les formules tableur et le glissé.
|
||||
|
||||
La deuxième permettait de découvrir le vocabulaire *image* et *antécédent*. À chaque plénière, les méthodes de chacun étaient notées au tableau. Ce qui a été intéressant c'est que les élèves ont naturellement utilisé les 3 formes et on a pu comparer leurs utilités.
|
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||||
Ensuite le reste du chapitre a été traité en prenant un bon quart d'heure en chaque début de cours. Une `fiche <./repr_fct.pdf>`_ a été distribué et j'écrivais des questions autour d'image et antécédent en utilisant alternativement les 3 trois fonctions.
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Reference in New Issue
Block a user