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2nd/03_Fonctions_et_graphiques/4E_lecture_abstraits.pdf
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2nd/03_Fonctions_et_graphiques/exercises.tex
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@ -109,11 +109,11 @@
\begin{tikzpicture}[yscale=0.4, xscale=0.6]
%\repere{-9}{4}{-5}{4}
\tkzInit[xmin=-9,xmax=4,xstep=1,
ymin=-4,ymax=5,ystep=1]
ymin=-5,ymax=4,ystep=1]
\tkzGrid
\tkzAxeXY
\draw[very thick, color=red] plot [smooth,tension=0.2] coordinates{%
(-8,-0.2) (-6,-3) (-2,4.5) (0,2) (1,0) (3,-1.5)
(-8,0.2) (-6,3) (-2,-4.5) (0,-2) (1,0) (3,1.5)
};
\draw (3,1) node[above right] {$\mathcal{C}_f$};
\end{tikzpicture}
@ -142,52 +142,36 @@
\end{exercise}
\begin{exercise}[subtitle={Lecture graphique}, step={4}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }]
Sur le graphique ci-dessous, on tracer les représentations graphiques des fonctions
\[
f(x) = 0.05(x+5)(x+1)(x-4) \qquad g(x) = 0.1x^2 - 1
\]
\begin{minipage}{0.4\textwidth}
\begin{tikzpicture}
\begin{axis}[
axis lines = center,
grid = both,
xlabel = {$x$},
xtick distance=1,
ylabel = {$y$},
ytick distance=1,
legend pos = north west,
legend entries={$f(x)$, $g(x)$}
]
\addplot[domain=-6:6,samples=20, color=red, very thick]{0.05*(x+5)*(x+1)*(x-4)};
\addplot[domain=-6:6,samples=20, color=blue, very thick]{0.1*x^2 - 1};
\end{axis}
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[xscale=0.7, yscale=0.6]
\tkzInit[xmin=-6,xmax=6,xstep=1,
ymin=-3,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\draw (4,2) node[below left] {$\mathcal{C}_g$};
\tkzFct[domain = -6:6,color=red,very thick]%
{0.05*(x+5)*(x+1)*(x-4)}
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.6\textwidth}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\item Résoudre graphiquement les équations suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $g(x) = 0$
\item $f(x) = 2$
\item $0.1x^2 - 1 = -1$
\item $f(x) = g(x)$
\item $g(x) = 1,5$
\item $g(x) = -2$
\item $g(x) = 3$
\end{enumerate}
\end{multicols}
\item Résoudre graphiquement les inéquations suivantes
\begin{multicols}{3}
\begin{multicols}{2}
\begin{enumerate}
\item $g(x) \geq 0$
\item $f(x) \leq 2$
\item $g(x) > f(x)$
\item $g(x) < -1,5$
\item $g(x) > 1 $
\end{enumerate}
\end{multicols}
\begin{enumerate}
\setcounter{enumii}{3}
\item $0.05(x+5)(x+1)(x-4) > 1 $
\end{enumerate}
\end{enumerate}
\end{minipage}
\end{exercise}

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4e/02_Multiplication_nombre_relatif/3E_decouverte_mult.pdf
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4e/02_Multiplication_nombre_relatif/3E_decouverte_mult.tex
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@ -1,23 +0,0 @@
\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}

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4e/02_Multiplication_nombre_relatif/exercises.tex
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@ -63,16 +63,3 @@
\end{enumerate}
\end{multicols}
\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}

25
4e/02_Multiplication_nombre_relatif/index.rst
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@ -2,7 +2,7 @@ Multiplication nombre relatif
#############################
:date: 2021-09-13
:modified: 2021-09-16
:modified: 2021-09-13
:authors: Benjamin Bertrand
:tags:
:category: 4e
@ -13,27 +13,8 @@ Suivie de la séquence du livre Les maths ensemble et pour chacun.
Étape 1: Sens des nombres relatifs
==================================
.. image:: ./1E_temperatures.pdf
:height: 200px
:alt:
Étape 2: Addition et soustraction
=================================
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
Étape 3: Distributivité du x sur le +
=====================================

3
Makefile
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@ -24,9 +24,6 @@ clean:
sequence:
sh ./tools/scripts/new_sequence.sh
eval:
sh ./tools/scripts/new_eval.sh
rsync_cleUSB: clean
rsync -rtv -u --del --exclude "venv" ./ $(COMMON_EXCLUDE) /run/media/lafrite/$(CLEUSB)/Enseignements
rsync -rtv -u $(COMMON_EXCLUDE) ../Divers/ /run/media/lafrite/$(CLEUSB)/Divers

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7
Technologique/02_Polygones_reguliers/exercises.tex
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\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={ Polygones reguliers }, tags={ Géométrie }]
<++>
\end{exercise}
\begin{solution}
<++>
\end{solution}

31
Technologique/02_Polygones_reguliers/index.rst
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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
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#!/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
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@ -1,7 +0,0 @@
\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={ ${title} }, tags={ ${tags} }]
<++>
\end{exercise}
\begin{solution}
<++>
\end{solution}

27
tools/skeleton/eval/sujet.tex
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@ -1,27 +0,0 @@
\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"
%%% End: