From 6c0d63e91005acfbaaa9fe31f1ad0676515969e5 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 1 Feb 2022 11:45:03 +0100 Subject: [PATCH] =?UTF-8?q?Feat:=20init=20s=C3=A9quence=20arithm=C3=A9tiqu?= =?UTF-8?q?e=20pour=20les=204e?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 4e/12_Arithmetique/1B.tex | 14 +++++ 4e/12_Arithmetique/1E.tex | 17 ++++++ 4e/12_Arithmetique/exercises.tex | 80 +++++++++++++++++++++++++ 4e/12_Arithmetique/index.rst | 12 ++++ 4e/12_Arithmetique/plan_de_travail.pdf | Bin 0 -> 35194 bytes 4e/12_Arithmetique/plan_de_travail.tex | 46 ++++++++++++++ 4e/12_Arithmetique/solutions.tex | 28 +++++++++ 7 files changed, 197 insertions(+) create mode 100644 4e/12_Arithmetique/1B.tex create mode 100644 4e/12_Arithmetique/1E.tex create mode 100644 4e/12_Arithmetique/exercises.tex create mode 100644 4e/12_Arithmetique/index.rst create mode 100644 4e/12_Arithmetique/plan_de_travail.pdf create mode 100644 4e/12_Arithmetique/plan_de_travail.tex create mode 100644 4e/12_Arithmetique/solutions.tex diff --git a/4e/12_Arithmetique/1B.tex b/4e/12_Arithmetique/1B.tex new file mode 100644 index 0000000..92b21fd --- /dev/null +++ b/4e/12_Arithmetique/1B.tex @@ -0,0 +1,14 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Arithmetique - Cours} +\date{2022-02-01} + +\pagestyle{empty} + +\begin{document} + +\maketitle + +\end{document} diff --git a/4e/12_Arithmetique/1E.tex b/4e/12_Arithmetique/1E.tex new file mode 100644 index 0000000..abf6f7a --- /dev/null +++ b/4e/12_Arithmetique/1E.tex @@ -0,0 +1,17 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Arithmetique - Exercices} +\date{2022-02-01} + +\DeclareExerciseCollection[step=1]{banque} +\xsimsetup{collect} + + +\begin{document} +\input{exercises.tex} + +\printcollection{banque} + +\end{document} diff --git a/4e/12_Arithmetique/exercises.tex b/4e/12_Arithmetique/exercises.tex new file mode 100644 index 0000000..db721d0 --- /dev/null +++ b/4e/12_Arithmetique/exercises.tex @@ -0,0 +1,80 @@ +\begin{exercise}[subtitle={Pique-nique}, step={1}, origin={Création}, topics={Arithmétique}, tags={arithmétique}, mode={\faIcon{search}}] + Quand Mme Abode prepare à manger pour ses enfants, elle prend soin que chacun ait autant de bananes et de sandwichs et que rien ne soit jeté. Aujourd'hui pour le repas de ses enfants, elle a acheté 60 sandwichs et 42 bananes. + + \begin{enumerate} + \item Combien a-t-elle d'enfants? + \item On donne un indice supplémentaire, elle n'a eu que des jumeaux. Affiner votre réponse à la question précédente. + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Joli bouquet}, step={1}, origin={Création}, topics={Arithmétique}, tags={arithmétique}, mode={\faIcon{search}}] + \noindent + Abdou a 24 fleurs, Mariam a 16 fleurs et Roubouanti en a 29. Chacun veut partager ses fleurs. + + Abdou anonce: + \begin{quote} + \textit{Si on est 6 ou 8, je peux partager mes fleurs équitablement} + \end{quote} + + Mariam continue + \begin{quote} + \textit{Il faut forcement que l'on soit 4 ou 8 pour pouvoir partager les miennes équitablement. C'est la seule solution.} + \end{quote} + + Roubouanti conclut + \begin{quote} + \textit{Quelque soit le nombre de personnes, je ne pourrai jamais partager mes fleurs équitablement.} + \end{quote} + + Que pensez vous de ces affirmations? +\end{exercise} + +\begin{exercise}[subtitle={Sandwichs}, step={1}, origin={Création}, topics={Arithmétique}, tags={arithmétique}, mode={\faIcon{tools}}] + Au supermarché, le jambon est vendu par paquets de 6 tranches et le pain de mie par paquets de 20 tranches. J'aime me faire des sandwichs avec une tranche de jambon et 2 tranches de pain de mie. + + Je n'aime pas gaspiller et je ne veux donc pas de reste. Combien de paquet de chaque dois-je acheter? Combien de sandwichs vais-je pouvoir me faire? +\end{exercise} + +\begin{exercise}[subtitle={Diviseurs}, step={2}, origin={Création}, topics={Arithmétique}, tags={arithmétique}, mode={\faIcon{search}}] + \begin{enumerate} + \item Déterminer tous les diviseurs des nombres suivants + + \[ + 4 \qquad 10 \qquad 21 \qquad 46 \qquad 64 \qquad 77 + \] + \item Trouver un nombre qui a exactement 4 diviseurs. + \item Trouver quatre nombres qui ont exactement 2 diviseurs. + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Vrai/faux}, step={2}, origin={Création}, topics={Arithmétique}, tags={arithmétique}, mode={\faIcon{tools}}] + Déterminer plus expliquer si les phrases suivantes sont vraies. + \begin{multicols}{2} + \begin{enumerate} + \item 4 est un diviseur de 12. + \item 3 et 4 sont des diviseurs de 24. + \item 50 est un multiple 4. + \item 5 et 20 sont des multiples de 10. + \item 60 est un multiple de 15. + \item 40 a exactement 6 diviseurs. + \item 30 a exactement 6 multiples. + \item Il existe un nombre avec 1 seul diviseur. + \end{enumerate} + \end{multicols} +\end{exercise} + +\begin{exercise}[subtitle={Trésor de Pirates}, step={2}, origin={Création}, topics={Arithmétique}, tags={arithmétique}, mode={\faIcon{tools}}] + Chez les pirates le partage c'est important. Tout le monde doit absolument avoir la même part du trésor. Quand ça n'est pas possible, pas de pitié, il faut diminuer les effectifs. L'équipage en trop ira nourrir les requins. + + Aujourd'hui les pirates ont récolté un beau butin: + \begin{multicols}{3} + \begin{itemize} + \item 5040 pièces d'or + \item 6300 pièces d'argent + \item 7350 pièces de bronze + \end{itemize} + \end{multicols} + Quelle doit être la taille de l'équipage pour qu'aucun pirate n'aille nourrir les requins? +\end{exercise} + + diff --git a/4e/12_Arithmetique/index.rst b/4e/12_Arithmetique/index.rst new file mode 100644 index 0000000..8b507fb --- /dev/null +++ b/4e/12_Arithmetique/index.rst @@ -0,0 +1,12 @@ +Arithmetique +############ + +:date: 2022-02-01 +:modified: 2022-02-01 +:authors: Benjamin Bertrand +:tags: Arithmétique +:category: 4e +:summary: Problèmes de partages, nombre premiers et décomposition + +Étape 1: +======== diff --git a/4e/12_Arithmetique/plan_de_travail.pdf b/4e/12_Arithmetique/plan_de_travail.pdf new file mode 100644 index 0000000000000000000000000000000000000000..70233ea67f05d63e2282ab71ad162cfd9af8515f GIT binary patch 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