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a/2nd/02_Fonctions_et_graphiques/3B_comparaison_graphique.pdf b/2nd/02_Fonctions_et_graphiques/3B_comparaison_graphique.pdf index 8f5c9acfc5d624977fdab3d428ac5e9c01fc8ee5..be776cc23fa9a4e78e6811074ca4062dff0447a9 100644 GIT binary patch delta 113 zcmeyllkw+H#tj`I?4|~mrY5EqllwztVC>DCLcX!N8M!$-S-Lp6nz=X{n7X(cn;V)r fJ2@IVTNoOeTbeo>+9}u&RuVf|Q9^DqPt02Yjdve$ delta 113 zcmeyllkw+H#tj`I>?Ve$h6VDCLcX!NIht6Qm|D1)yBV1pm>QT{8oL=7 fm{=N{np>KfI~kg|*(ul%RuVf|Q9^DqPt02YPIw+y diff --git a/2nd/02_Fonctions_et_graphiques/4B_tableur.tex b/2nd/02_Fonctions_et_graphiques/4B_tableur.tex index cbc410a..955f0b8 100644 --- a/2nd/02_Fonctions_et_graphiques/4B_tableur.tex +++ b/2nd/02_Fonctions_et_graphiques/4B_tableur.tex @@ -17,9 +17,9 @@ \setcounter{section}{2} \section{Fonction dans le tableur} -Dans l'exercice sur la revente de fleur, une fois que l'on a déterminé la fonction qui permettait de calculer le salaire, nous avons pu réaliser des calculs grace au tableur. +Dans l'exercice sur la revente de fleur, une fois que l'on a déterminé la fonction qui permettait de calculer le salaire, nous avons pu réaliser des calculs grâce au tableur. -Dans la suite, $x$ désigne le poids de fleur. +Dans la suite, $x$ désigne le poids des fleurs. \begin{multicols}{3} Fonction de Jean \[ diff --git a/2nd/02_Fonctions_et_graphiques/exercises.tex b/2nd/02_Fonctions_et_graphiques/exercises.tex index 896e296..ef91617 100644 --- a/2nd/02_Fonctions_et_graphiques/exercises.tex +++ b/2nd/02_Fonctions_et_graphiques/exercises.tex @@ -1,33 +1,37 @@ \begin{exercise}[subtitle={Tracer des graphes}, step={1}, origin={Inspiré de Graphing Stories de Dan Meyer}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\searchMode}] + \begin{multicols}{2} \begin{enumerate} \item Tracer les graphiques correspondants aux vidéos présentées - \hspace{-1cm} - \includegraphics[scale=0.13]{./fig/weight_stack} - \includegraphics[scale=0.13]{./fig/balloon_lenght} - \includegraphics[scale=0.13]{./fig/distance_camera} + \includegraphics[scale=0.15]{./fig/weight_stack} + + \includegraphics[scale=0.3]{./fig/balloon_lenght} + + \includegraphics[scale=0.3]{./fig/distance_camera} \item Tracer 3 graphiques différents à partir de la vidéo. - \hspace{-1cm} - \begin{tikzpicture}[yscale=1, xscale=1] - \tkzInit[xmin=0,xmax=5,xstep=1, ymin=0,ymax=5,ystep=1] - \tkzGrid[sub] - \tkzDrawXY - \end{tikzpicture} - \hfill - \begin{tikzpicture}[yscale=1, xscale=1] - \tkzInit[xmin=0,xmax=5,xstep=1, ymin=0,ymax=5,ystep=1] - \tkzGrid[sub] - \tkzDrawXY - \end{tikzpicture} - \hfill - \begin{tikzpicture}[yscale=1, xscale=1] + \begin{tikzpicture}[yscale=0.8, xscale=1.2] \tkzInit[xmin=0,xmax=5,xstep=1, ymin=0,ymax=5,ystep=1] \tkzGrid[sub] \tkzDrawXY \end{tikzpicture} + \begin{tikzpicture}[yscale=0.8, xscale=1.2] + \tkzInit[xmin=0,xmax=5,xstep=1, ymin=0,ymax=5,ystep=1] + \tkzGrid[sub] + \tkzDrawXY + \end{tikzpicture} + + \begin{tikzpicture}[yscale=0.8, xscale=1.2] + \tkzInit[xmin=0,xmax=5,xstep=1, ymin=0,ymax=5,ystep=1] + \tkzGrid[sub] + \tkzDrawXY + \end{tikzpicture} + \end{enumerate} + \end{multicols} + \begin{enumerate} + \setcounter{enumi}{2} \item Écrire 4 questions qui pourraient être répondu par la lecture des graphiques que vous venez de tracer. \end{enumerate} \end{exercise} @@ -60,7 +64,7 @@ \begin{exercise}[subtitle={Fabricants de machins}, step={2}, origin={Nathan 2ST 1P119}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] Une entreprise fabrique des \textit{machins}. Chaque jour, elle peut en produire entre 0 et 80 tonnes. - Le coût de fabrication et les recettes, en euros, de $x$ tonnes est modélisé par la fonction $C(x)$ et $R(x)$ représentées dans le graphique ci-dessous. + Le coût de fabrication et les recettes, en euros, de $x$ tonnes sont modélisés par les fonctions $C(x)$ et $R(x)$ représentées dans le graphique ci-dessous. \noindent \begin{minipage}{0.55\linewidth} @@ -92,7 +96,7 @@ fixed}, grid= both, xlabel = {En tonnes}, - xtick distance=5, + xtick distance=10, ylabel = {En \euro}, ytick distance=10000, every axis y label/.style={at={(current axis.north west)},above=2mm}, @@ -185,7 +189,79 @@ \end{enumerate} \end{solution} -\begin{exercise}[subtitle={Encore une?}, step={3}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] +\begin{exercise}[subtitle={Lecture graphique}, step={3}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] + \begin{minipage}{0.5\textwidth} + \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] + \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) + }; + \draw (3,1) node[above right] {$\mathcal{C}_f$}; + \end{tikzpicture} + \end{minipage} + \begin{minipage}{0.5\textwidth} + Décrire avec une phrase la quantité cherchée (représentée pas des pointillés) en utilisant le vocabulaire image et antécédent puis la déterminer graphiquement. + \begin{multicols}{2} + \begin{enumerate} + \item $f(-6) = \dots$ + \item $f(0) = \dots$ + \item $f(\dots) = 0$ + \item $f(\dots) = 2$ + \item $f(\dots) = -5$ + \item $f(\dots) \leq 0$ + \item $f(\dots) > -2$ + \item $f(\dots) \geq 1 $ + \end{enumerate} + \end{multicols} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Mélange de formule et de graphiques}, step={3}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] + Sur le graphique ci-dessous, on a tracé 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} + \end{tikzpicture} + \end{minipage} + \begin{minipage}{0.6\textwidth} + \begin{enumerate} + \item Résoudre graphiquement les équations suivantes + \begin{multicols}{2} + \begin{enumerate} + \item $f(x) = g(x)$ + \item (*) $0.1x^2 - 1 = -1$ + \end{enumerate} + \end{multicols} + \item Résoudre graphiquement les inéquations suivantes + \begin{enumerate} + \item $$g(x) > f(x)$$ + \item (*) $$0.05(x+5)(x+1)(x-4) > 0.1x^2 - 1 $$ + \end{enumerate} + \end{enumerate} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Remédiation}, step={3}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] Sur le graphique ci-dessous, on a tracé la représentation graphique de la fonction: \[ f(x) = -0.05(x+5)(x-1)(x-6) @@ -260,77 +336,6 @@ \end{enumerate} \end{solution} -\begin{exercise}[subtitle={Lecture graphique}, step={3}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] - \begin{minipage}{0.5\textwidth} - \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] - \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) - }; - \draw (3,1) node[above right] {$\mathcal{C}_f$}; - \end{tikzpicture} - \end{minipage} - \begin{minipage}{0.5\textwidth} - Décrire avec une phrase la quantité cherchée (représentée pas des pointillés) en utilisant le vocabulaire image et antécédent puis la déterminer graphiquement. - \begin{multicols}{2} - \begin{enumerate} - \item $f(-6) = \dots$ - \item $f(0) = \dots$ - \item $f(\dots) = 0$ - \item $f(\dots) = 2$ - \item $f(\dots) = -5$ - \item $f(\dots) \leq 0$ - \item $f(\dots) > -2$ - \item $f(\dots) \geq 1 $ - \end{enumerate} - \end{multicols} - \end{minipage} -\end{exercise} - -\begin{exercise}[subtitle={Mélange de formule et de graphiques}, step={3}, origin={???}, topics={ Fonctions et graphiques }, tags={ Fonctions, Graphiques }, mode={\trainMode}] - Sur le graphique ci-dessous, on a tracé 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} - \end{tikzpicture} - \end{minipage} - \begin{minipage}{0.6\textwidth} - \begin{enumerate} - \item Résoudre graphiquement les équations suivantes - \begin{multicols}{2} - \begin{enumerate} - \item $f(x) = g(x)$ - \item $0.1x^2 - 1 = -1$ - \end{enumerate} - \end{multicols} - \item Résoudre graphiquement les inéquations suivantes - \begin{enumerate} - \item $$g(x) > f(x)$$ - \item $$0.05(x+5)(x+1)(x-4) > 0.1x^2 - 1 $$ - \end{enumerate} - \end{enumerate} - \end{minipage} -\end{exercise} % --------------- diff --git a/2nd/02_Fonctions_et_graphiques/plan_de_travail.pdf b/2nd/02_Fonctions_et_graphiques/plan_de_travail.pdf index 7bf26f7152900461f6d8c85130bf40b1b61b958c..23469ac9a3a10bf92087442ee5fa56086a6e33a2 100644 GIT binary patch delta 40386 zcmZttWl$bn6E2Jf4Nh=};O-tQxVyW%yEC}EySqcUao6B3!QCym^W}N>x6e60&Q$eu z*VWxucg>HrdREOm<#1#bbJRydgR^p_0sROVK(=(;8ppShs}J-S@bUO;9De^0Fv@0# zyHq!OQF+06!gi=c=^no@bZSSN8dC1HLWu|y!-(DMzen+J30}uLErQ5b?k_j$IMKM! zH87*s^7TKNe0HkF)%|>WykDEVogeJ#%YCjhL(AlOVtYR)41&O2g5nf$h{DQ_c8
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