From 0a29248551aade76b6accf4deed06fbb14b3c781 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Fri, 20 May 2022 15:46:13 +0200 Subject: [PATCH] Feat: ajoute le plan de travail sur les puissances --- 4e/16_Puissances/exercises.tex | 132 +++++++++++++++++++++++++++ 4e/16_Puissances/index.rst | 12 +++ 4e/16_Puissances/plan_de_travail.pdf | Bin 0 -> 54794 bytes 4e/16_Puissances/plan_de_travail.tex | 67 ++++++++++++++ 4 files changed, 211 insertions(+) create mode 100644 4e/16_Puissances/exercises.tex create mode 100644 4e/16_Puissances/index.rst create mode 100644 4e/16_Puissances/plan_de_travail.pdf create mode 100644 4e/16_Puissances/plan_de_travail.tex diff --git a/4e/16_Puissances/exercises.tex b/4e/16_Puissances/exercises.tex new file mode 100644 index 0000000..7c5197c --- /dev/null +++ b/4e/16_Puissances/exercises.tex @@ -0,0 +1,132 @@ +\begin{exercise}[subtitle={\icon{abstract-046}Attaque d'extra-terrestres\icon{abstract-019}}, step={1}, origin={Ma tête}, topics={ Puissances }, tags={ Puissances }] + Trois amis profitent d'un dimanche pour faire un voulé. En croquant dans un mabawa, Abdou voit une soucoupe volante se poser sur l'îlot Bandrélé! + \begin{itemize} + \item[-] Une invasion extra-terrestre! s'écria-t-il. Il faut prévenir la terre entière! + \item[-] Où ça? répondit Faïza. + \item[-] Là! Là! Sur l'îlot, regarde! Sors ton téléphone Idris! Vite! + \item[-] Oui, oui voila, dit-il en fouillant dans son sac. Bon qu'est-ce qu'on écrit? + \item[-] Heu... heu... Une soucoupe volante s'est posée sur Bandrélé. Envoie ce message à 3 autres personnes. Il faut que la terre entière soit au courant, dicta Abdou. + \item[-] Ok... voila c'est écrit. Et je l'envoie à ma mère. + \item[-] Bien joué, tu as mis une minute pour l'écrire. Il te faudra 2 autres minutes pour envoyer le même message à 2 autres personnes. Si chacun fait comme ça, la terre entière sera vite au courant, expliqua Abdou. + \item[-] Mouais... je pense qu'on aurait du dire de l'envoyer à 4 personnes, ça aurait pris 4 minutes mais plus de personnes auraient été mises au courant. Ça aurait été plus rapide, ajouta Faïza. + \item[-] Ou même à 6 personnes! termina Idris. + \end{itemize} + + \begin{center} + \icon{abstract-008}\textbf{Et toi? Qu'en penses tu?}\icon{abstract-004} + \end{center} +\end{exercise} + +% ----- + +\begin{exercise}[subtitle={Ordre de grandeur - vert}, step={3}, origin={Ma tête}, topics={ Puissances }, tags={ Puissances }] + Completer le tableau puis relier les grandeurs à un object correspondant. + + \begin{center} + \begin{tabular}{|p{3.5cm}|p{3.5cm}|p{2cm}p{3cm}|} + \hline + En lettre & En nombres & & Élements \\ + \hline + 5 milles mètres & \dotfill m & $\bullet$ & $\bullet$ Rayon de la Terre \\ + \hline + 42 milles mètres & \dotfill m& $\bullet$ & $\bullet$ Une règle de 20cm\\ + \hline + 6 milions de mètres & \dotfill m& $\bullet$ & $\bullet$ Le mont blanc \\ + \hline + 385 milions de mètres& \dotfill m& $\bullet$ & $\bullet$ Une fourmie \\ + \hline + 2 milième de mètres & \dotfill m & $\bullet$ & $\bullet$ Un marathon \\ + \hline + 20 centième de mètres & \dotfill m& $\bullet$ & $\bullet$ Distante Terre-Lune\\ + \hline + \end{tabular} + \end{center} +\end{exercise} + +\begin{exercise}[subtitle={Ordre de grandeur - rouge}, step={3}, origin={Ma tête}, topics={ Puissances }, tags={ Puissances }] + Classer les éléments suivants par ordre croissant. + + \begin{itemize}[leftmargin=*] + \item Données de longueurs (en m): + \begin{multicols}{3} + \begin{enumerate} + \item Un être humain + \item Un virus + \item Une fourmi + \item Diamètre d'un cheveux + \item Un immeuble + \item Taille d'un stade + \item Un marathon + \item Distance de la Terre au Soleil + \item L'Everest + \item Diamètre de la Voie Lactée + \item Rayon de la Terre + \item Circonférence de la Terre + \item Distance à l'étoile la plus proche + \item Distance de la Terre à la Lune + \item Distance au centre de la Voie Lactée + \item Rayon d'un atome + \item Distance à la galaxie d'Andromède + \end{enumerate} + \end{multicols} + \item Données de masses (en kg): + \begin{multicols}{3} + \begin{enumerate} + \item Un litre d'eau + \item Un virus + \item La Voie Lactée + \item Une cellule + \item Un moustique + \item Une feuille A4 + \item Un souris + \item La Lune + \item La population mondiale + \item Un être humain + \item Une baleine + \item Le Titanic + \item La Terre + \item L'eau dans les océans + \item Le Soleil + \item Un atome d'hydrogène + \item La production mondiale de pétrole annuelle + \end{enumerate} + \end{multicols} + \end{itemize} + + Quand les éléments seront classé, faire des recherches pour trouver les valeurs de chaque éléments pour vérifier le classement. +\end{exercise} + +\begin{exercise}[subtitle={Système solaire}, step={3}, origin={???}, topics={ Puissances }, tags={ Puissances }] + Voici les caractéristiques de plusieurs planètes du système solaire. + \begin{multicols}{2} + + \hspace{-0.5cm} + \begin{tabular}{|c|p{2cm}|c|} + \hline + Planète & Rayon moyen (km) & Masse(kg) \\ + \hline + Mercure & 2439,7 & $3,302\times 10^{23}$ \\ + \hline + Terre & 6 371 & $5,9736 \times 10^{24}$ \\ + \hline + Mars & 3390 & $6,4185 \times 10^{23}$ \\ + \hline + Jupiter & 69 911 & $1,8986 \times 10^{27}$ \\ + \hline + Neptune & 24 622 & $1,0243 \times 10^{26}$ \\ + \hline + \end{tabular} + \begin{enumerate} + \item Classer ces planètes de la plus petite à la plus grande. + \item Classer ces planète en fonction de leur masse. + \item Classe les planètes selon leur masse volumique. La formule pour calculer la masse volumique est ($m$ représente la masse et $r$ le rayon). + \begin{eqnarray*} + \frac{3m}{4\pi\times r^3} + \end{eqnarray*} + \item Peut-on, à partir du calcul de la masse volumique faire deux groupes de planètes, les planètes gazeuses (planètes faites de gaz) et les planètes tellurique (planètes faites de roche)? + + \end{enumerate} + \end{multicols} +\end{exercise} + +% ----- diff --git a/4e/16_Puissances/index.rst b/4e/16_Puissances/index.rst new file mode 100644 index 0000000..deea8c1 --- /dev/null +++ b/4e/16_Puissances/index.rst @@ -0,0 +1,12 @@ +Puissances +########## + +:date: 2022-05-20 +:modified: 2022-05-20 +:authors: Benjamin Bertrand +:tags: Puissances +:category: 4e +:summary: Manipulation des puissances + +Étape 1: +======== diff --git a/4e/16_Puissances/plan_de_travail.pdf b/4e/16_Puissances/plan_de_travail.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e0a3c6d05f6356f63e386f50f0b60274056f2e46 GIT binary patch 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+\date{mai 2022} + +\pagestyle{empty} + +\DeclareExerciseCollection{banque} +\xsimsetup{ +} + + +\begin{document} +\maketitle + +% Résumé + +\bigskip + +Savoir-faire de la séquence +\begin{itemize} + \item Il utilise les puissances de 10 d’exposants positifs ou négatifs. + \item Il associe, dans le cas des nombres décimaux, écriture décimale, écriture fractionnaire et notation scientifique. + \item Il utilise les puissances d’exposants strictement positifs d’un nombre pour simplifier l’écriture +\end{itemize} + +\bigskip + + +\section{Découverte des puissances} + +\listsectionexercises + +\section{Calculs avec les puissances} + +Exercices du livre + +\begin{center} + 62, 64, 66, 67, 68 p 97 +\end{center} + +\section{Puissances de 10 et ordre de grandeur} + +\listsectionexercises + +\section{Calculs avec les puissances de 10} + +Exercices du livre + +\begin{center} + 22, 25, 26, 27p 95 \hspace{1cm} 38, 39, 40p95 +\end{center} + +\section{Notation scientifique} + +mystère + +\pagebreak + +\input{exercises.tex} +\printcollection{banque} + + +\end{document}