Merge branch 'master' of ssh://git_opytex/lafrite/2018-2019
This commit is contained in:
commit
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@ -19,7 +19,7 @@ Seul chaque élève écrit un texte sur ce qu'il pense d'une des 3 affirmations.
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D'autres plénières permettrons ensuite de débattre des autres affirmations. Dès qu'un groupe évoque les fractions on essaiera d'orienter le débat dans cette direction.
|
||||
|
||||
Cahier de bord: La situation de Djelane avec l'explication des élèves justifiant qu'il a bien une chance sur 2 de gagner. On ajoutera que les mathématiciens ont inventé les probabilités pour mesurer le hasard et essayer de le contrôler.
|
||||
Cahier de bord: À partir des `réponses des élèves <./B1_definition.pdf>`_ on construit un bilan où l'on définit la probabilité.
|
||||
|
||||
Étape 2: D'autres comparaisons d'expériences aléatoires
|
||||
=======================================================
|
||||
|
BIN
StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-1.pdf
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StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-1.tex
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StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-1.tex
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@ -0,0 +1,71 @@
|
||||
\documentclass[a4paper,10pt]{classPres}
|
||||
\usepackage{tkz-fct}
|
||||
|
||||
\author{}
|
||||
\title{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
\begin{frame}{Questions flashs}
|
||||
\begin{center}
|
||||
\huge 30 secondes par calcul
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 1}
|
||||
\huge
|
||||
Position de $A$
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=0.8]
|
||||
\filldraw[very thick, ->] (-3.3,0) -- (3.3,0);
|
||||
\filldraw[very thick, ->] (0,-3.3) -- (0,3.3);
|
||||
\draw[step=1] (-3,-3) grid (3,3);
|
||||
|
||||
\draw (2, 1) node {x} node[above left] {$A$};
|
||||
|
||||
\foreach \x in {-3,...,3} {%
|
||||
\draw (\x, 0) node[below] {\small \x};
|
||||
\draw (0, \x) node[left ] {\small \x};
|
||||
}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 2}
|
||||
\huge
|
||||
Si $x = 2$, alors
|
||||
\[
|
||||
3x + 5 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 3}
|
||||
\huge
|
||||
\[
|
||||
-5 + 3 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 4}
|
||||
\huge
|
||||
Combien vaut les $\dfrac{3}{5}$ de 10?
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=2]
|
||||
\foreach \x in {1,...,5} {%
|
||||
\draw (\x,0) circle (0.4cm) node {\icon{cursed-star}};
|
||||
\draw (\x,1) circle (0.4cm) node {\icon{cursed-star}};
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}
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\end{tikzpicture}
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Fin}
|
||||
\begin{center}
|
||||
\huge On retourne son papier.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
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|
||||
\end{document}
|
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StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-2.pdf
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StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-2.tex
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@ -0,0 +1,63 @@
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||||
\documentclass[a4paper,10pt]{classPres}
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\usepackage{tkz-fct}
|
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|
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\author{}
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||||
\title{}
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\date{}
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||||
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||||
\begin{document}
|
||||
\begin{frame}{Questions flashs}
|
||||
\begin{center}
|
||||
\huge 30 secondes par calcul
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 1}
|
||||
\huge
|
||||
Position de $A$
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=0.8]
|
||||
\filldraw[very thick, ->] (-3.3,0) -- (3.3,0);
|
||||
\filldraw[very thick, ->] (0,-3.3) -- (0,3.3);
|
||||
\draw[step=1] (-3,-3) grid (3,3);
|
||||
|
||||
\draw (-2, 1) node {x} node[above left] {$A$};
|
||||
|
||||
\foreach \x in {-3,...,3} {%
|
||||
\draw (\x, 0) node[below] {\small \x};
|
||||
\draw (0, \x) node[left ] {\small \x};
|
||||
}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 2}
|
||||
\huge
|
||||
Si $x = 3$, alors
|
||||
\[
|
||||
5 + 6x =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 3}
|
||||
\huge
|
||||
\[
|
||||
-4 + 5 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 4}
|
||||
\huge
|
||||
Combien vaut les $\dfrac{1}{3}$ de 12?
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Fin}
|
||||
\begin{center}
|
||||
\huge On retourne son papier.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\end{document}
|
BIN
StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.pdf
Normal file
BIN
StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.pdf
Normal file
Binary file not shown.
71
StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.tex
Executable file
71
StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.tex
Executable file
@ -0,0 +1,71 @@
|
||||
\documentclass[a4paper,10pt]{classPres}
|
||||
\usepackage{tkz-fct}
|
||||
|
||||
\author{}
|
||||
\title{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
\begin{frame}{Questions flashs}
|
||||
\begin{center}
|
||||
\huge 30 secondes par calcul
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 1}
|
||||
\huge
|
||||
Position de $A$
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=0.8]
|
||||
\filldraw[very thick, ->] (-3.3,0) -- (3.3,0);
|
||||
\filldraw[very thick, ->] (0,-3.3) -- (0,3.3);
|
||||
\draw[step=1] (-3,-3) grid (3,3);
|
||||
|
||||
\draw (2, -1) node {x} node[above left] {$A$};
|
||||
|
||||
\foreach \x in {-3,...,3} {%
|
||||
\draw (\x, 0) node[below] {\small \x};
|
||||
\draw (0, \x) node[left ] {\small \x};
|
||||
}
|
||||
\end{tikzpicture}
|
||||
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 2}
|
||||
\huge
|
||||
Si $x = 5$, alors
|
||||
\[
|
||||
2 + 4x =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 3}
|
||||
\huge
|
||||
\[
|
||||
-3 + 5 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 4}
|
||||
\huge
|
||||
Combien vaut les $\dfrac{3}{4}$ de 12?
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[scale=2]
|
||||
\foreach \x in {1,...,6} {%
|
||||
\draw (\x,0) circle (0.4cm) node {\icon{cursed-star}};
|
||||
\draw (\x,1) circle (0.4cm) node {\icon{cursed-star}};
|
||||
}
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Fin}
|
||||
\begin{center}
|
||||
\huge On retourne son papier.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\end{document}
|
BIN
StLaurentGrandvaux/6e/Aire/B2_rectange_manipulations.pdf
Normal file
BIN
StLaurentGrandvaux/6e/Aire/B2_rectange_manipulations.pdf
Normal file
Binary file not shown.
46
StLaurentGrandvaux/6e/Aire/B2_rectange_manipulations.tex
Normal file
46
StLaurentGrandvaux/6e/Aire/B2_rectange_manipulations.tex
Normal file
@ -0,0 +1,46 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\title{Aire - bilan}
|
||||
\tribe{Cinquième}
|
||||
\date{Mai 2019}
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\newcommand{\cours}{
|
||||
Certain élèves ont trouvé des calculs pour éviter d'avoir à compter les unités dans les rectangles:
|
||||
|
||||
\hspace{2cm}
|
||||
\begin{tikzpicture}[scale=0.7]
|
||||
\filldraw[very thick, fill=gray!60] (-3,3) -- (-3,0) -- (4,0) -- (4,3) -- cycle;
|
||||
\draw[step=1] (-6,-1) grid (5,4);
|
||||
\end{tikzpicture}
|
||||
|
||||
On a aussi trouvé des astuces pour mesurer l'aire quand les carreaux ne sont pas entiers:
|
||||
|
||||
\vspace{2cm}
|
||||
|
||||
\begin{tikzpicture}[scale=0.7]
|
||||
\filldraw[very thick, fill=gray!60] (-4,3) -- (-2,0) -- (5,0) -- (3,3) -- cycle;
|
||||
\draw[step=1] (-6,-1) grid (6,4);
|
||||
\end{tikzpicture}
|
||||
|
||||
\textbf{\icon{mine-explosion}Attention:}
|
||||
}
|
||||
|
||||
|
||||
\begin{document}
|
||||
|
||||
|
||||
\cours
|
||||
\vfill
|
||||
\cours
|
||||
\vfill
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
@ -34,9 +34,14 @@ Les premiers polygones ont pour but de faire ressortir les formules pour calcule
|
||||
|
||||
Les suivants vont permettre de voir les techniques de découpage/recollage pour former des rectangles.
|
||||
|
||||
Bilan: Formule d'aire d'un rectangle et techniques pour calculer l'aire des polygones.
|
||||
Bilan: `Formule d'aire d'un rectangle et techniques pour calculer l'aire des polygones <./B2_rectange_manipulations.pdf>`_
|
||||
|
||||
Étape 4: Tache complexe
|
||||
Étape 4: Calcul de l'aire d'un triangle
|
||||
=======================================
|
||||
|
||||
Bilan: Formule de l'aire du triangle
|
||||
|
||||
Étape 5: Tache complexe
|
||||
=======================
|
||||
|
||||
`Tache complexe des plates bandes <./TC_plate-bande.pdf>`_
|
||||
|
Binary file not shown.
@ -28,11 +28,11 @@
|
||||
Caractériser chacune des situations suivantes.
|
||||
\begin{enumerate}
|
||||
\item Lilia a \quant ans et sa mère a \quant ans. Quelle age aura la maman de Lilia quand elle aura \quant ans?
|
||||
\item Super tomate tue \quant soldats à super tacos en \quant parties. Combien en tuera-t-il en \quant parties?
|
||||
\item Marie achète \quant paquets de \quant noix de coco. Un paquet coûte \quant \euro. Au bout du 3e paquet acheté, elle a une réduction de 3\euro. Combien paiera-t-elle pour \quant \euro?
|
||||
\item Un agriculteur possède \quant champs qui font un total de \quant hectares. Combien d'hectares va faire \quant champs?
|
||||
\item Une élève a besoin de \quant clous pour accrocher \quant dessins au mur. Combien de clous aura-t-elle besoin pour attacher \quant dessins?
|
||||
\item Emma part de chez elle à \quant h, elle prend Capucine en passant. Ensemble, elles vont au bus. Quand le bus arrive il est \quant h \quant. Au premier arrêt il est \quant h \quant. Il y a encore 3 arrêts. A quelle heure vont-elle arriver au collège?
|
||||
\item Marie achète \quant paquets de \quant noix de coco. Un paquet coûte \quant \euro. Au bout du 3e paquet acheté, elle a une réduction de 3\euro. Combien paiera-t-elle pour \quant \euro?
|
||||
\item Super tomate tue \quant soldats à super tacos en \quant parties. Combien en tuera-t-il en \quant parties?
|
||||
\item Un agriculteur possède \quant champs qui font un total de \quant hectares. Combien d'hectares va faire \quant champs?
|
||||
\end{enumerate}
|
||||
\end{exercise}
|
||||
|
||||
|
BIN
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-1.pdf
Normal file
BIN
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-1.pdf
Normal file
Binary file not shown.
50
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-1.tex
Executable file
50
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-1.tex
Executable file
@ -0,0 +1,50 @@
|
||||
\documentclass[a4paper,10pt]{classPres}
|
||||
\usepackage{tkz-fct}
|
||||
|
||||
\author{}
|
||||
\title{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
\begin{frame}{Questions flashs}
|
||||
\begin{center}
|
||||
\huge 30 secondes par calcul
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 1}
|
||||
\huge
|
||||
\[
|
||||
123,567 \div 100 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 2}
|
||||
\huge
|
||||
\[
|
||||
5\times(2+4) =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 3}
|
||||
\huge Arrondir au dixième
|
||||
\[
|
||||
12,864
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 4}
|
||||
\LARGE
|
||||
Je vends 5kg de fruits pour 6\euro.
|
||||
|
||||
Que puis-je acheter avec 30\euro?
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Fin}
|
||||
\begin{center}
|
||||
\huge On retourne son papier.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\end{document}
|
BIN
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-2.pdf
Normal file
BIN
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-2.pdf
Normal file
Binary file not shown.
56
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-2.tex
Executable file
56
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-2.tex
Executable file
@ -0,0 +1,56 @@
|
||||
\documentclass[a4paper,10pt]{classPres}
|
||||
\usepackage{tkz-fct}
|
||||
|
||||
\author{}
|
||||
\title{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
\begin{frame}{Questions flashs}
|
||||
\begin{center}
|
||||
\huge 30 secondes par calcul
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 1}
|
||||
\huge
|
||||
\[
|
||||
1,567 \div 100 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 2}
|
||||
\huge Arrondir au dixième
|
||||
\[
|
||||
12,864
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 3}
|
||||
\LARGE
|
||||
Le marchand vend 4 pommes 5\euro.
|
||||
|
||||
Combien me coûteront 8 pommes qui pèsent 2kg?
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 4}
|
||||
\huge
|
||||
Calculer l'aire de la figure
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
\filldraw[very thick, fill=blue!60] (-3,3) -- (-3,0) -- (4,0) -- (4,3) -- cycle;
|
||||
\draw[step=1] (-5,-1) grid (5,5);
|
||||
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Fin}
|
||||
\begin{center}
|
||||
\huge On retourne son papier.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\end{document}
|
BIN
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-3.pdf
Normal file
BIN
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-3.pdf
Normal file
Binary file not shown.
57
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-3.tex
Executable file
57
StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-3.tex
Executable file
@ -0,0 +1,57 @@
|
||||
\documentclass[a4paper,10pt]{classPres}
|
||||
\usepackage{tkz-fct}
|
||||
|
||||
\author{}
|
||||
\title{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
\begin{frame}{Questions flashs}
|
||||
\begin{center}
|
||||
\huge 30 secondes par calcul
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 1}
|
||||
\huge
|
||||
\[
|
||||
456,8 \times 1000 =
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 2}
|
||||
\huge Arrondir à l'unité
|
||||
\[
|
||||
12,864
|
||||
\]
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 3}
|
||||
\LARGE
|
||||
7m de fil de fer pèsent 2kg.
|
||||
|
||||
Combien va peser 49m de fil de fer?
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Calcul 4}
|
||||
\huge
|
||||
Calculer l'aire de la figure
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
\filldraw[very thick, fill=blue!60] (-3,2) -- (-3,0) -- (4,0) -- (4,2) -- cycle;
|
||||
\draw[step=1] (-5,-1) grid (5,5);
|
||||
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Fin}
|
||||
\begin{center}
|
||||
\huge On retourne son papier.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\end{document}
|
Loading…
Reference in New Issue
Block a user