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7198ed0d79
| Author | SHA1 | Date | |
|---|---|---|---|
| 7198ed0d79 | |||
| fe75d15516 | |||
| bb4fbd8558 | |||
| 5f5606733a | |||
| 5674ce6096 |
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@ -109,11 +109,11 @@
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\begin{tikzpicture}[yscale=0.4, xscale=0.6]
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\begin{tikzpicture}[yscale=0.4, xscale=0.6]
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%\repere{-9}{4}{-5}{4}
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%\repere{-9}{4}{-5}{4}
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\tkzInit[xmin=-9,xmax=4,xstep=1,
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\tkzInit[xmin=-9,xmax=4,xstep=1,
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ymin=-5,ymax=4,ystep=1]
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ymin=-4,ymax=5,ystep=1]
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\tkzGrid
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\tkzGrid
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\tkzAxeXY
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\tkzAxeXY
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\draw[very thick, color=red] plot [smooth,tension=0.2] coordinates{%
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\draw[very thick, color=red] plot [smooth,tension=0.2] coordinates{%
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(-8,0.2) (-6,3) (-2,-4.5) (0,-2) (1,0) (3,1.5)
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(-8,-0.2) (-6,-3) (-2,4.5) (0,2) (1,0) (3,-1.5)
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};
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};
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\draw (3,1) node[above right] {$\mathcal{C}_f$};
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\draw (3,1) node[above right] {$\mathcal{C}_f$};
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\end{tikzpicture}
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\end{tikzpicture}
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@ -142,36 +142,52 @@
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\end{exercise}
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\end{exercise}
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\begin{exercise}[subtitle={Lecture graphique}, step={4}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }]
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\begin{exercise}[subtitle={Lecture graphique}, step={4}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }]
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\begin{minipage}{0.5\textwidth}
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Sur le graphique ci-dessous, on tracer les représentations graphiques des fonctions
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\begin{tikzpicture}[xscale=0.7, yscale=0.6]
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\[
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\tkzInit[xmin=-6,xmax=6,xstep=1,
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f(x) = 0.05(x+5)(x+1)(x-4) \qquad g(x) = 0.1x^2 - 1
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ymin=-3,ymax=3,ystep=1]
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\]
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\tkzGrid
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\begin{minipage}{0.4\textwidth}
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\tkzAxeXY
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\begin{tikzpicture}
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\draw (4,2) node[below left] {$\mathcal{C}_g$};
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\begin{axis}[
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\tkzFct[domain = -6:6,color=red,very thick]%
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axis lines = center,
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{0.05*(x+5)*(x+1)*(x-4)}
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grid = both,
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xlabel = {$x$},
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xtick distance=1,
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ylabel = {$y$},
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ytick distance=1,
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legend pos = north west,
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legend entries={$f(x)$, $g(x)$}
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]
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\addplot[domain=-6:6,samples=20, color=red, very thick]{0.05*(x+5)*(x+1)*(x-4)};
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\addplot[domain=-6:6,samples=20, color=blue, very thick]{0.1*x^2 - 1};
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\end{minipage}
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\end{minipage}
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\begin{minipage}{0.5\textwidth}
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\begin{minipage}{0.6\textwidth}
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\begin{enumerate}
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\begin{enumerate}
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\item Résoudre graphiquement les équations suivantes
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\item Résoudre graphiquement les équations suivantes
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\begin{multicols}{2}
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\begin{multicols}{2}
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\begin{enumerate}
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\begin{enumerate}
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\item $g(x) = 1,5$
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\item $g(x) = 0$
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\item $g(x) = -2$
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\item $f(x) = 2$
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\item $g(x) = 3$
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\item $0.1x^2 - 1 = -1$
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\item $f(x) = g(x)$
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\end{enumerate}
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\end{enumerate}
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\end{multicols}
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\end{multicols}
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\item Résoudre graphiquement les inéquations suivantes
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\item Résoudre graphiquement les inéquations suivantes
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\begin{multicols}{2}
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\begin{multicols}{3}
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\begin{enumerate}
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\begin{enumerate}
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\item $g(x) \geq 0$
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\item $g(x) \geq 0$
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\item $g(x) < -1,5$
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\item $f(x) \leq 2$
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\item $g(x) > 1 $
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\item $g(x) > f(x)$
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\end{enumerate}
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\end{enumerate}
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\end{multicols}
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\end{multicols}
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\begin{enumerate}
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\setcounter{enumii}{3}
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\item $0.05(x+5)(x+1)(x-4) > 1 $
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\end{enumerate}
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\end{enumerate}
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\end{enumerate}
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\end{minipage}
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\end{minipage}
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\end{exercise}
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\end{exercise}
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2nd/Questions_flashs/fiche_eval.pdf
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2nd/Questions_flashs/fiche_eval.pdf
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2nd/Questions_flashs/fiche_eval.svg
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2nd/Questions_flashs/fiche_eval.svg
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</svg>
|
||||||
|
After Width: | Height: | Size: 9.3 KiB |
BIN
4e/02_Multiplication_nombre_relatif/3E_decouverte_mult.pdf
Normal file
BIN
4e/02_Multiplication_nombre_relatif/3E_decouverte_mult.pdf
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Binary file not shown.
23
4e/02_Multiplication_nombre_relatif/3E_decouverte_mult.tex
Normal file
23
4e/02_Multiplication_nombre_relatif/3E_decouverte_mult.tex
Normal file
@ -0,0 +1,23 @@
|
|||||||
|
\documentclass[a4paper, 10pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
\author{Benjamin Bertrand}
|
||||||
|
\title{Multiplication nombre relatif - Exercices}
|
||||||
|
\date{2021-09-13}
|
||||||
|
|
||||||
|
\DeclareExerciseCollection[step=3]{banque}
|
||||||
|
\xsimsetup{collect}
|
||||||
|
|
||||||
|
\thispagestyle{empty}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
\setcounter{exercise}{4}
|
||||||
|
\input{exercises.tex}
|
||||||
|
|
||||||
|
\foreach \n in {0,...,4}{%
|
||||||
|
\printcollection{banque}
|
||||||
|
\vfill
|
||||||
|
}
|
||||||
|
|
||||||
|
\end{document}
|
||||||
@ -63,3 +63,16 @@
|
|||||||
\end{enumerate}
|
\end{enumerate}
|
||||||
\end{multicols}
|
\end{multicols}
|
||||||
\end{exercise}
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Celsius et Fahrenheit}, step={3}, origin={Les maths ensemble et pour chacun 4e}, topics={ Multiplication nombre relatif }, tags={ }]
|
||||||
|
En France, on mesure la température en degrés Celsius. Dans d'autres pays, elle se mesure en degrés Fahrenheit.
|
||||||
|
|
||||||
|
La température $t_F$ en degrés Fahrenheit se calcule, quand on connait la température $t_C$ en degrés Celsius avec la formule
|
||||||
|
\[
|
||||||
|
t_F = 1,8\times t_C + 32
|
||||||
|
\]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item À quelle température en degrés Fahrenheit correspond une température de 10°C? de -10°C?
|
||||||
|
\item À quelle température en degrés Celsius correspond une température de 59°F? (pour cette question la calculatrice est autorisée)
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
|||||||
@ -2,7 +2,7 @@ Multiplication nombre relatif
|
|||||||
#############################
|
#############################
|
||||||
|
|
||||||
:date: 2021-09-13
|
:date: 2021-09-13
|
||||||
:modified: 2021-09-13
|
:modified: 2021-09-16
|
||||||
:authors: Benjamin Bertrand
|
:authors: Benjamin Bertrand
|
||||||
:tags:
|
:tags:
|
||||||
:category: 4e
|
:category: 4e
|
||||||
@ -13,8 +13,27 @@ Suivie de la séquence du livre Les maths ensemble et pour chacun.
|
|||||||
Étape 1: Sens des nombres relatifs
|
Étape 1: Sens des nombres relatifs
|
||||||
==================================
|
==================================
|
||||||
|
|
||||||
|
.. image:: ./1E_temperatures.pdf
|
||||||
|
:height: 200px
|
||||||
|
:alt:
|
||||||
|
|
||||||
|
|
||||||
Étape 2: Addition et soustraction
|
Étape 2: Addition et soustraction
|
||||||
=================================
|
=================================
|
||||||
|
|
||||||
Étape 3: Distributivité du x sur le +
|
Sur la durée
|
||||||
=====================================
|
|
||||||
|
.. image:: ./2E_addition_relatifs.pdf
|
||||||
|
:height: 200px
|
||||||
|
:alt: calculs
|
||||||
|
|
||||||
|
Accompagné des questions flashs du livre p26 et de l'activité 1 p 26 pour pousser vers l'utilisation de flèches pour remontrer les calculs.
|
||||||
|
|
||||||
|
|
||||||
|
Étape 3: Découverte de la multiplication
|
||||||
|
========================================
|
||||||
|
|
||||||
|
.. image:: ./3E_decouverte_mult.pdf
|
||||||
|
:height: 200px
|
||||||
|
:alt: découverte de la multiplication des nombres relatifs
|
||||||
|
|
||||||
|
|||||||
3
Makefile
3
Makefile
@ -24,6 +24,9 @@ clean:
|
|||||||
sequence:
|
sequence:
|
||||||
sh ./tools/scripts/new_sequence.sh
|
sh ./tools/scripts/new_sequence.sh
|
||||||
|
|
||||||
|
eval:
|
||||||
|
sh ./tools/scripts/new_eval.sh
|
||||||
|
|
||||||
rsync_cleUSB: clean
|
rsync_cleUSB: clean
|
||||||
rsync -rtv -u --del --exclude "venv" ./ $(COMMON_EXCLUDE) /run/media/lafrite/$(CLEUSB)/Enseignements
|
rsync -rtv -u --del --exclude "venv" ./ $(COMMON_EXCLUDE) /run/media/lafrite/$(CLEUSB)/Enseignements
|
||||||
rsync -rtv -u $(COMMON_EXCLUDE) ../Divers/ /run/media/lafrite/$(CLEUSB)/Divers
|
rsync -rtv -u $(COMMON_EXCLUDE) ../Divers/ /run/media/lafrite/$(CLEUSB)/Divers
|
||||||
|
|||||||
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@ -0,0 +1,267 @@
|
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|
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|
id="g218" /><g
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|
id="g50"
|
||||||
|
transform="matrix(0.70110759,0,0,0.70110759,152.04696,-2.0911929)"><text
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id="text52"
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||||||
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transform="matrix(0,1,0.99943032,0,75.48,42.5906)"
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id="tspan54"
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|
||||||
|
x="0"
|
||||||
|
y="0">Exercice des cocottes</tspan></text>
|
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|
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|
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|
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|
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|
transform="matrix(0.70110759,0,0,0.70110759,157.08934,-2.0911929)"><text
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x="42.578537"
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id="text60"
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||||||
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0%;font-family:sans-serif;-inkscape-font-specification:sans-serif;writing-mode:lr-tb;fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:none"
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||||||
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style="font-size:14.2631px;line-height:1.25"
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id="tspan4245"
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||||||
|
sodipodi:role="line"
|
||||||
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x="42.578537"
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||||||
|
y="85.592377">Chacune des cocottes blanches a été obtenue à partir de la grise par une transformation. </tspan><tspan
|
||||||
|
style="font-size:14.2631px;line-height:1.25"
|
||||||
|
sodipodi:role="line"
|
||||||
|
x="42.578537"
|
||||||
|
y="103.42125"
|
||||||
|
id="tspan4536"> - Quelles sont les cocottes qui ont subit la même transformation?</tspan><tspan
|
||||||
|
style="font-size:14.2631px;line-height:1.25"
|
||||||
|
id="tspan4246"
|
||||||
|
sodipodi:role="line"
|
||||||
|
x="42.578537"
|
||||||
|
y="121.25012"> - Ecris une phrase pour décrire chaque transformation. </tspan><tspan
|
||||||
|
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|
||||||
|
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|
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|
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|
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|
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|
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|
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|
||||||
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|
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||||||
|
After Width: | Height: | Size: 18 KiB |
7
Technologique/02_Polygones_reguliers/exercises.tex
Normal file
7
Technologique/02_Polygones_reguliers/exercises.tex
Normal file
@ -0,0 +1,7 @@
|
|||||||
|
\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={ Polygones reguliers }, tags={ Géométrie }]
|
||||||
|
<++>
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
<++>
|
||||||
|
\end{solution}
|
||||||
31
Technologique/02_Polygones_reguliers/index.rst
Normal file
31
Technologique/02_Polygones_reguliers/index.rst
Normal file
@ -0,0 +1,31 @@
|
|||||||
|
Polygones réguliers
|
||||||
|
###################
|
||||||
|
|
||||||
|
:date: 2021-09-16
|
||||||
|
:modified: 2021-09-16
|
||||||
|
:authors: Benjamin Bertrand
|
||||||
|
:tags: Géométrie
|
||||||
|
:category: Technologique
|
||||||
|
:summary: Étude des transformations du plan, des polygones réguliers, des pavages et des frises.
|
||||||
|
|
||||||
|
Étape 1: Reconnaître les transformations du plan
|
||||||
|
================================================
|
||||||
|
|
||||||
|
.. image:: ./1E_classer_transformations.pdf
|
||||||
|
:height: 200px
|
||||||
|
:alt: Reconnaitre les transformations du plan
|
||||||
|
|
||||||
|
|
||||||
|
Étape 2: Construire les polygones réguliers
|
||||||
|
===========================================
|
||||||
|
|
||||||
|
On donne la définition d'un polygone régulier et on demande de tous nous les trouver. On peut espérer qu'ils trouvent le triangle équilatérale et le carré. On les poussera alors à en chercher à 5 ou 6 côtés.
|
||||||
|
|
||||||
|
S'ils ne l'on pas fait, on leur montrera que ces polygones peuvent s'inscrire dans un cercle. On les laissera continuer à chercher d'autres polygones.
|
||||||
|
|
||||||
|
Si la méthode n'a pas été découverte, on pourra ensuite montrer comment construire les polygones réguliers à partir de l'angle au centre.
|
||||||
|
|
||||||
|
Étape 3: Exercices techniques
|
||||||
|
=============================
|
||||||
|
|
||||||
|
On y reverra le théorème de Pythagore ainsi que les outils pour calculer les angles.
|
||||||
66
tools/scripts/new_eval.sh
Normal file
66
tools/scripts/new_eval.sh
Normal file
@ -0,0 +1,66 @@
|
|||||||
|
#!/bin/bash
|
||||||
|
|
||||||
|
|
||||||
|
display_result() {
|
||||||
|
dialog --title "$1" \
|
||||||
|
--no-collapse \
|
||||||
|
--msgbox "$result" 0 0
|
||||||
|
}
|
||||||
|
|
||||||
|
exec 3>&1
|
||||||
|
selection=$(dialog \
|
||||||
|
--backtitle "Création d'une nouvelle évaluation: Classe" \
|
||||||
|
--title "Menu" \
|
||||||
|
--clear \
|
||||||
|
--cancel-label "Exit" \
|
||||||
|
--menu "Choisir un niveau:" 0 0 4 \
|
||||||
|
"1" "2nd" \
|
||||||
|
"2" "Enseignements Scientifique" \
|
||||||
|
"3" "4e" \
|
||||||
|
"4" "Technologique" \
|
||||||
|
2>&1 1>&3)
|
||||||
|
exec 3>&-
|
||||||
|
case $selection in
|
||||||
|
1 )
|
||||||
|
tribe="2nd"
|
||||||
|
;;
|
||||||
|
2 )
|
||||||
|
tribe="EnseignementsScientifique"
|
||||||
|
;;
|
||||||
|
3 )
|
||||||
|
tribe="4e"
|
||||||
|
;;
|
||||||
|
4 )
|
||||||
|
tribe="Technologique"
|
||||||
|
;;
|
||||||
|
esac
|
||||||
|
|
||||||
|
exec 3>&1
|
||||||
|
date=$(dialog --calendar "Date" 0 0 2>&1 1>&3 | awk -F "/" '{print $3"-"$2"-"$1}')
|
||||||
|
exec 3>&-
|
||||||
|
|
||||||
|
exec 3>&1
|
||||||
|
name=$(dialog \
|
||||||
|
--inputbox "Nom de l'évaluation" \
|
||||||
|
0 0 \
|
||||||
|
2>&1 1>&3)
|
||||||
|
exec 3>&-
|
||||||
|
|
||||||
|
exec 3>&1
|
||||||
|
duration=$(dialog \
|
||||||
|
--inputbox "Temps pour le travailler" \
|
||||||
|
0 0 \
|
||||||
|
2>&1 1>&3)
|
||||||
|
exec 3>&-
|
||||||
|
|
||||||
|
mkdir -p $tribe/Evaluations/
|
||||||
|
sequence_path=$tribe/Evaluations/DS_${date}/
|
||||||
|
mkdir -p $sequence_path
|
||||||
|
|
||||||
|
export name=$name
|
||||||
|
export date=$date
|
||||||
|
export tribe=$tribe
|
||||||
|
export duration=$duration
|
||||||
|
envsubst < ./tools/skeleton/eval/exercises.tex > $sequence_path/exercises.tex
|
||||||
|
envsubst < ./tools/skeleton/eval/sujet.tex > $sequence_path/sujet.tex
|
||||||
|
|
||||||
7
tools/skeleton/eval/exercises.tex
Normal file
7
tools/skeleton/eval/exercises.tex
Normal file
@ -0,0 +1,7 @@
|
|||||||
|
\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={ ${title} }, tags={ ${tags} }]
|
||||||
|
<++>
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
<++>
|
||||||
|
\end{solution}
|
||||||
27
tools/skeleton/eval/sujet.tex
Normal file
27
tools/skeleton/eval/sujet.tex
Normal file
@ -0,0 +1,27 @@
|
|||||||
|
\documentclass[a4paper,12pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
% Title Page
|
||||||
|
\title{ ${name} \hfill ${subname}}
|
||||||
|
\tribe{${tribe}}
|
||||||
|
\date{${date}}
|
||||||
|
\duree{${duration}}
|
||||||
|
|
||||||
|
\DeclareExerciseCollection[step=1]{banque}
|
||||||
|
\xsimsetup{collect}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
\maketitle
|
||||||
|
|
||||||
|
Le barème est donné à titre indicatif, il pourra être modifié.
|
||||||
|
|
||||||
|
\input{exercises.tex}
|
||||||
|
\printcollection{banque}
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
%%% Local Variables:
|
||||||
|
%%% mode: latex
|
||||||
|
%%% TeX-master: "master"
|
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|
%%% End:
|
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|
|
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Reference in New Issue
Block a user