From 58ea1dc4510a9bc23c2f89d1d9d523923d5d58d6 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 20 May 2019 10:19:34 +0200 Subject: [PATCH 01/19] feat: suite de la partie de bataille navale avec les 5A --- .../bataille_navale_recreatif_5A.svg | 65 +++++++++++++++++-- 1 file changed, 60 insertions(+), 5 deletions(-) diff --git a/StLaurentGrandvaux/5e/Nombres_relatifs/bataille_navale_recreatif_5A.svg b/StLaurentGrandvaux/5e/Nombres_relatifs/bataille_navale_recreatif_5A.svg index 1d8673d..d21764f 100644 --- a/StLaurentGrandvaux/5e/Nombres_relatifs/bataille_navale_recreatif_5A.svg +++ b/StLaurentGrandvaux/5e/Nombres_relatifs/bataille_navale_recreatif_5A.svg @@ -132,7 +132,7 @@ inkscape:pageopacity="0.0" inkscape:pageshadow="2" inkscape:zoom="1" - inkscape:cx="379.23622" + inkscape:cx="361.73622" inkscape:cy="622.3087" inkscape:document-units="px" inkscape:current-layer="layer1" @@ -144,9 +144,9 @@ inkscape:snap-midpoints="true" inkscape:snap-nodes="false" 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/dev/null +++ b/StLaurentGrandvaux/5e/DS/19_05_22-1.tex @@ -0,0 +1,141 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\title{DS 1} +\tribe{Cinquième} +\date{22 mai 2018} + +\sujet{1} + +\begin{document} + +%\competencesStatement + +\maketitle +\bigskip +\begin{exercise}[subtitle={Géométrie}] + \hspace{-1cm} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \item Termine le parallélogramme $ABCD$ + \begin{tikzpicture}[scale=0.8] + \draw (8, 0) node[below left] {$A$} + -- (0, 0) node[above left] {$B$} + -- (2, 4) node[above left] {$C$}; + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \setcounter{enumi}{1} + \item Termine le parallélogramme $EFGH$ + \begin{tikzpicture}[scale=0.8] + \draw (0, 0) node[below left] {$E$} + -- (2, 2) node[above left] {$F$} + -- (7, 1) node[above] {$G$}; + \draw [draw=none] (0, -2.5); + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{enumerate} + \setcounter{enumi}{2} + \item Tracer le triangle $IJK$ tel que $IJ = 2cm$, $JK=5cm$ et $IK=4cm$. + \vspace{4cm} + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Problèmes}] + \begin{enumerate} + \item Chez un boucher, 800g de viande coûtent 12\euro. Combien va coûter 600g de viande? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Du haut d’un viaduc, Xavier s’élance dans le vide, les pieds attachés à un élastique.Il descend de 25 m, remonte de 12m, redescend de 8m, remonte de 3m, redescend de 1 m et remonte de 0,5 m. Calculer à combien de mètres sous le viaduc Xavier s’est immobilisé. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Auguste, l'empereur romain, est né en -63 et est décédé en -27. Combien de temps a-t-il vécu? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Relatifs}] + Pour calculer les bénéfices d'une entreprise, on fait la \textbf{différence} entre les profits et les coûts. Voici les données concernant quelques entreprises. + + \begin{tabular}{|c|*{2}{p{2cm}|}p{7cm}|} + \hline + & Profits & Coûts & Bénéfices \\ + \hline + Gagnepeu & 5 & 10 & \\ + \hline + Bossebien & 45 & 20 & \\ + \hline + Bienfait & 65 & 83 & \\ + \hline + Parletoujours & 5,7 & 8,3 & \\ + \hline + \end{tabular} + \begin{enumerate} + \item Complète le tableau en indiquant les calculs faits. + \item Classe les entreprises par ordre croissant de leurs bénéfices. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Bataille}] + \begin{minipage}{0.5\textwidth} + \begin{tikzpicture}[scale=0.8] + \filldraw[very thick, ->] (-5.5,0) -- (5.5,0); + \filldraw[very thick, ->] (0,-5.5) -- (0,5.5); + \draw[step=1] (-5,-5) grid (5,5); + + \draw (3, 4) node {x} node[above left] {$A$}; + \draw (-3, 1) node {x} node[above left] {$B$}; + \draw (0, -4) node {x} node[above left] {$C$}; + \end{tikzpicture} + \end{minipage} + \begin{minipage}{0.4\textwidth} + \begin{enumerate} + \item Décrire précisément la position des points: + \begin{itemize} + \item $A$ \dotfill + \item $B$ \dotfill + \item $C$ \dotfill + \end{itemize} + \item Placer les points sur le repère. + \begin{itemize} + \item $L (4;2)$ + \item $M (-3;-2)$ + \end{itemize} + \end{enumerate} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Calculs}] + Faire les calculs en détaillant les étapes. + + \vfill + $56 - 8 \times 5 = $ + \vfill + $\dfrac{2}{5} + \dfrac{3}{5} = $ + \vfill + $\dfrac{1}{2} + \dfrac{3}{4} = $ + \vfill +\end{exercise} + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: diff --git a/StLaurentGrandvaux/5e/DS/19_05_22-2.pdf b/StLaurentGrandvaux/5e/DS/19_05_22-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8cb0917922f1d165ff11f644a07245670bfbdccc GIT binary patch literal 61057 zcmce;bBrj@wl+MrZ5w-R+qU-Dwr$(CZQJ%9+qP%E{k!iy$xZH;yzf8fbkdc=>PkIX 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+\maketitle +\bigskip +\begin{exercise}[subtitle={Relatifs}] + Pour calculer les bénéfices d'une entreprise, on fait la \textbf{différence} entre les profits et les coûts. Voici les données concernant quelques entreprises. + + \begin{tabular}{|c|*{2}{p{2cm}|}p{7cm}|} + \hline + & Profits & Coûts & Bénéfices \\ + \hline + Gagnepeu & 6 & 13 & \\ + \hline + Bossebien & 54 & 30 & \\ + \hline + Bienfait & 74 & 81 & \\ + \hline + Parletoujours & 4,2 & 6,3 & \\ + \hline + \end{tabular} + \begin{enumerate} + \item Complète le tableau en indiquant les calculs faits. + \item Classe les entreprises par ordre croissant de leurs bénéfices. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Bataille}] + \begin{minipage}{0.5\textwidth} + \begin{tikzpicture}[scale=0.8] + \filldraw[very thick, ->] (-5.5,0) -- (5.5,0); + \filldraw[very thick, ->] (0,-5.5) -- (0,5.5); + \draw[step=1] (-5,-5) grid (5,5); + + \draw (1, 2) node {x} node[above left] {$A$}; + \draw (2, -3) node {x} node[above left] {$B$}; + \draw (-3, 0) node {x} node[above left] {$C$}; + \end{tikzpicture} + \end{minipage} + \begin{minipage}{0.4\textwidth} + \begin{enumerate} + \item Décrire précisément la position des points: + \begin{itemize} + \item $A$ \dotfill + \item $B$ \dotfill + \item $C$ \dotfill + \end{itemize} + \item Placer les points sur le repère. + \begin{itemize} + \item $L (3;4)$ + \item $M (3;-2)$ + \end{itemize} + \end{enumerate} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Problèmes}] + \begin{enumerate} + \item Chez un boucher, 900g de viande coûtent 21\euro. Combien va coûter 600g de viande? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Du haut d’un viaduc, Xavier s’élance dans le vide, les pieds attachés à un élastique. Il descend de 35 m, remonte de 12m, redescend de 8m, remonte de 3m, redescend de 1 m et remonte de 0,5 m. Calculer à combien de mètres sous le viaduc Xavier s’est immobilisé. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Alexandre le Grand, est né en -356 et est décédé en -323. Combien d'années a-t-il vécu? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Calculs}] + Faire les calculs en détaillant les étapes. + + \vfill + $51 - 7 \times 6= $ + \vfill + $\dfrac{5}{7} + \dfrac{3}{7} = $ + \vfill + $\dfrac{3}{2} + \dfrac{1}{4} = $ + \vfill +\end{exercise} + +\begin{exercise}[subtitle={Géométrie}] + \hspace{-1cm} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \item Termine le parallélogramme $ABCD$ + \begin{tikzpicture}[scale=0.8] + \draw (8, 0) node[below left] {$A$} + -- (0, 0) node[above left] {$B$} + -- (2, 4) node[above left] {$C$}; + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \setcounter{enumi}{1} + \item Termine le parallélogramme $EFGH$ + \begin{tikzpicture}[scale=0.8] + \draw (0, 0) node[below left] {$E$} + -- (2, 2) node[above left] {$F$} + -- (7, 1) node[above] {$G$}; + \draw [draw=none] (0, -2.5); + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{enumerate} + \setcounter{enumi}{2} + \item Tracer le triangle $IJK$ tel que $IJ = 2cm$, $JK=5cm$ et $IK=4cm$. + \vspace{4cm} + \end{enumerate} +\end{exercise} + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: From 8453410895eccdaed9a25c7d3d46de399045886a Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 21 May 2019 15:43:57 +0200 Subject: [PATCH 05/19] =?UTF-8?q?Feat:=20D=C3=A9tail=20de=20la=20s=C3=A9qu?= =?UTF-8?q?ence=20fraction=20pour=20les=206e?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- StLaurentGrandvaux/6e/Aire/index.rst | 12 +++---- StLaurentGrandvaux/6e/Fractions/index.rst | 44 ++++++++++++++++++----- 2 files changed, 42 insertions(+), 14 deletions(-) diff --git a/StLaurentGrandvaux/6e/Aire/index.rst b/StLaurentGrandvaux/6e/Aire/index.rst index c37aa69..57eae5a 100644 --- a/StLaurentGrandvaux/6e/Aire/index.rst +++ b/StLaurentGrandvaux/6e/Aire/index.rst @@ -20,7 +20,12 @@ En groupe, ils rendront leur classement et accompagné d'une explication de leur Bilan: Méthodes pour mesurer l'aire d'une figure avec en particulier une attention donnée à l'unité d'aire. -Étape 2: Calcul de l'aire d'un rectangle +Étape 2: Classement des polygones +================================= + +`Plusieurs polygones sont donnés à différentes échelles `_. Il faut les trier en fonction de leur aire puis de leur périmètre. + +Étape 3: Calcul de l'aire d'un rectangle ======================================== On donne `plusieurs polygones <./E2_vers_formule.pdf>`_ sur lesquels il faut calculer l'aire et le périmètre. @@ -31,11 +36,6 @@ Les suivants vont permettre de voir les techniques de découpage/recollage pour Bilan: Formule d'aire d'un rectangle et techniques pour calculer l'aire des polygones. -Étape 3: Classement des polygones -================================= - -`Plusieurs polygones sont donnés à différentes échelles `_. Il faut les trier en fonction de leur aire puis de leur périmètre. - Étape 4: Tache complexe ======================= diff --git a/StLaurentGrandvaux/6e/Fractions/index.rst b/StLaurentGrandvaux/6e/Fractions/index.rst index c4f0b96..b9ae92e 100644 --- a/StLaurentGrandvaux/6e/Fractions/index.rst +++ b/StLaurentGrandvaux/6e/Fractions/index.rst @@ -9,15 +9,43 @@ Initiation aux fractions avec les 6e pour l'année 2018-2019 :summary: Initiation aux fractions avec les 6e pour l'année 2018-2019. -Étape 1: n fois plus et n fois moins -==================================== - -On travaille rapidement sur le sens à donner aux expression "deux fois plus" ou "deux fois moins". - -Cahier de bord: des exemples d'utilisation de ces expressions. - -Étape 2: Mesures avec une bande unité +Étape 1: Mesures avec une bande unité ===================================== +Une fiche avec des segments à mesurer en utilisant une bande unité. + +Avec la première bande unité, on a des nombres entiers et un segment où il faut plier l'unité en 2. Les élèves mesurent les segments et cherche une façon de d'être le plus précis possible. + +Cahier de bord: Les mesures des segments avec l'astuce du pliage de la bande pour faire des demis unités. + + +Étape 2: Changement d'unité +=========================== + +Avec une deuxième bande unité, il faut plier en 2, 3 ou 4 pour mesurer précisément. + +Cahier de bord: Les nouvelles mesures avec les demis, tiers et quart d'unités. + +Étape 3: Course de fractions +============================ + +Chaque équipe a 2 dés. Elle les lance et fait avancé son pion en choisissant une fraction constituée du résultat des dés. + +Cahier de bord: Des comparaisons de fractions, le vocabulaire numérateur et dénominateur. + +Étape 4: Comparaisons de fractions +================================== + +Étape 5: Transformation en dixièmes +=================================== + +Étape 6: Abscisse sur demi-droite +================================= + + + + + + From f3a707e8790618417423a3f74ca672c8ef5ea4a4 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 21 May 2019 20:10:32 +0200 Subject: [PATCH 06/19] =?UTF-8?q?Feat:=20Suite=20et=20fin=20du=20chapitre?= =?UTF-8?q?=20proprtionnalit=C3=A9=20pour=20les=206e?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../Proportionnalite/E5_grandeurs_prop_6B.pdf | Bin 0 -> 31216 bytes .../Proportionnalite/E5_grandeurs_prop_6B.tex | 54 ++++++++++++++ .../Proportionnalite/E5_grandeurs_prop_6C.pdf | Bin 0 -> 31062 bytes .../Proportionnalite/E5_grandeurs_prop_6C.tex | 53 ++++++++++++++ .../Proportionnalite/E6_additif_tableau.pdf | Bin 0 -> 26931 bytes .../Proportionnalite/E6_additif_tableau.tex | 66 ++++++++++++++++++ .../6e/Proportionnalite/index.rst | 26 +++++-- 7 files changed, 192 insertions(+), 7 deletions(-) create mode 100644 StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6B.pdf create mode 100644 StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6B.tex create mode 100644 StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6C.pdf create mode 100644 StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6C.tex create mode 100644 StLaurentGrandvaux/6e/Proportionnalite/E6_additif_tableau.pdf create mode 100644 StLaurentGrandvaux/6e/Proportionnalite/E6_additif_tableau.tex diff --git a/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6B.pdf b/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6B.pdf new file mode 100644 index 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+\renewcommand{\quant}{\icon[scale=0.2]{dust-cloud}} + +\begin{document} + +\begin{exercise}[subtitle={Au poids ou à l'unité}] + Un marchand vend des ananas à l'unité, à 2 \euro pièce. + + Il vend aussi des oranges au poids, à 1 \euro le kilogramme. + + Bob achète deux ananas qui pèsent un kilogramme et demi au total, ainsi que huit oranges qui pèsent au total 2 kilogrammes. + + Combien Bob va-t-il payer ? +\end{exercise} + +\begin{exercise}[subtitle={Proportionnel?}] + Caractériser chacune des situations suivantes. + \begin{enumerate} + \item On achète \quant rubans qui font \quant m. Combien mesureront \quant rubans identiques? + \item Tu achètes \quand PS4 et cela coûte \quant\euro. Combien peux tu acheter de PS4 pour que cela coûte \quant \euro? + \item \quant maison se construisent en \quant h. Combien de maisons se construisent en \quant h? + \item Aujourd'hui, Sabrina a bu \quant litres d'eau. Combien de litres va-t-elle boire demain? + \item Si un prof écrit \quant mots en \quant minutes. Combien de temps va-t-il prendre pour écrire \quant mots? + \item \quand entrés pour le parc d'attraction coûtent \quant \euro. Cobmien coûtent \quant entrées? + \item Au goûter, Noa et son frère ouvre toujours un nouveau paquet de leur gâteaux préférés. Quand Noa en mange \quant, il en reste \quant à son frère. Combien en reste-t-il à son frère s'il en mange \quant? + \item Michel mange \quant bananes tous le jours. Combien a-t-il mangé de pommes hier? + \end{enumerate} +\end{exercise} + +\vfill + +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{2} +\vfill + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6C.pdf b/StLaurentGrandvaux/6e/Proportionnalite/E5_grandeurs_prop_6C.pdf new file mode 100644 index 0000000000000000000000000000000000000000..faa8aa454abf59ca929ba1124b5b602ccff6afbf GIT binary patch literal 31062 zcmce-bC4*(k~catXKdTHZQHhO+qUP7ZQHhO^NelJckbQY7yDvg#J7LEdpn{#s;jaq zDl4Pb zV;;#!N#QW+ur#S2Urfv~={S^iDJ3mVAE8!^?{3H$QQ+HgS$X)MTMO3s*3Wd9> zEEyARX`~8q>5|;I-N7M2iJU;)aqy&Rb5q zpOJZN-kvbNdg_>OmV(J}$q+@_Jr4w*EN^hoOmN|pb09wjtt_+)N8R<&X0Io>!!=%- zoaIVKE)w*eh)(w-R&noJK-eg7fpmCK*@0kw;H}^Ckk^g&-fm?ZG@GsP%gt*4tgt12qb`c-Ui=S}^}oAX0X`rH^SxKu;xo<0|7ACZm-W z)$02_vr#5zP0OxZvLanO$5BL7X{nVJk50(X`&G29&y{Y40)ohhgihkYB8FEBJvQsh 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+\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\title{Proportionnalité - Exercices} +\tribe{Sixième} +\date{Mai 2019} + +\renewcommand{\arraystretch}{1.3} +\geometry{left=15mm,right=15mm, bottom= 10mm, top=10mm} + +\pagestyle{empty} + + +\begin{document} + +\begin{exercise}[subtitle={Chez le boucher}] + Chez le boucher, le rôti de bœuf est vendu 20 € le kilogramme. + \begin{enumerate} + \item Combien pèse un rôti de bœuf qui coûte 30 € ? + \item Combien pèse un autre rôti de bœuf qui coûte 18 € ? + \end{enumerate} + + Défi : combien pèse un autre rôti de bœuf qui coûte 37 € ? +\end{exercise} + +\begin{exercise}[subtitle={Balles de tennis}] + Abdou et ses copains achètent des balles de tennis: le prix des balles est proportionnel au nombre de balles. + + Explique comment remplir le tableau. Ce travail doit se faire sans calculatrice! + + \begin{tabular}{|c|*{6}{p{1.8cm}|}} + \hline + & Abdou & Jean & Mariam & Julie & Akram & Elodie \\ + \hline + Nombre de balles & 18 & 30 & 48 & 90 & & 138 \\ + \hline + Prix (en \euro) & 33 & 55 & & & 110 & \\ + \hline + \end{tabular} +\end{exercise} + +\begin{exercise}[subtitle={Pieds et mètres}] + Aux États-Unis on ne mesure pas en mètres, mais avec des pieds (feets). 5 pieds mesurent 152,5 cm. + \begin{enumerate} + \item Combien de cm mesurent 10 pieds ? 17 pieds? 9000 pieds? + \item Combien de pieds mesurent 28 cm ? + \end{enumerate} +\end{exercise} + +\vfill + +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{2} +\vfill +\printexercise{exercise}{3} +\vfill + + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/index.rst b/StLaurentGrandvaux/6e/Proportionnalite/index.rst index f78b5b6..968f77c 100644 --- a/StLaurentGrandvaux/6e/Proportionnalite/index.rst +++ b/StLaurentGrandvaux/6e/Proportionnalite/index.rst @@ -39,16 +39,28 @@ Bilan: On note la question qui pose problème et on explique d'où il peut venir Nouvelle `banque d'exercices <./E3_banque_prop.pdf>`_, attention aux situations non proportionnelles!! On ne parle pas de proportionnalité encore. -`Tableau des grandeurs <./E3_tbl_reconnaitre_prop.pdf>`_. -La correction est reportée sur le cahier de bord avec l'introduction de la notion de grandeurs et de proportionnalité. +Cahier de bord: `Tableau des grandeurs <./E3_tbl_reconnaitre_prop.pdf>`_. -Étape 4 -======= +Étape 4: Création de problèmes +============================== Les élèves doivent créer 3 problèmes: un proportionnel, un non proportionnel et un où on ne peut pas savoir. -Étape 5 -======= +Cahier de bord: Définition d'un problème proportionnel. "Dans un problème avec 2 grandeurs, si quand on multiplie ou divise une grandeur par 2 ou 3 l'autre l'en aussi alors on dit que les grandeurs sont proportionnelles." -Banque d'exercices à finir sur la durée. (nouvelle banque?) +Étape 5: Proportionnel à quoi? +============================= + +On cherche à approfondir la notion de grandeurs proportionnelles. En utilisant les problèmes produits par les élèves, on crée des situations où les quantités ont disparues et où il faut retrouver si la situation est proportionnelle, non proportionnelle ou "on ne peut pas savoir". + +- `problèmes des 6A <./E5_grandeurs_prop_6A.pdf>`_ +- `problèmes des 6B <./E5_grandeurs_prop_6B.pdf>`_ +- `problèmes des 6C <./E5_grandeurs_prop_6C.pdf>`_ + +Étape 6: Problèmes additifs +=========================== + +On a déjà commencé à travailler la proportionnalité en questions flashs du points de vue du retour à l'unité ou avec des situations additives. On cherche maintenant à décortiquer ces situations. + +`Problèmes additifs et tableau de proprtionnalité <./E6_additif_tableau.pdf>`_ From 968da6bcdbbb280478a01de35c1f5b8e17289fa4 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 23 May 2019 11:15:59 +0200 Subject: [PATCH 07/19] Feat: fin de la correction DS des 6B --- Notes/6B.fods | 1452 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 1452 insertions(+) create mode 100644 Notes/6B.fods diff --git a/Notes/6B.fods b/Notes/6B.fods new file mode 100644 index 0000000..ca6e114 --- /dev/null +++ b/Notes/6B.fods @@ -0,0 +1,1452 @@ + + + + 2019-05-20T10:21:03.2208786402019-05-23T10:33:48.627198756PT3H5M58S51LibreOffice/6.2.3.2$Linux_X86_64 LibreOffice_project/20$Build-2 + + + 0 + 0 + 35302 + 9542 + + + view1 + + + 22 + 9 + 2 + 2 + 8 + 1 + 3 + 0 + 8 + 0 + 1 + 0 + 100 + 60 + true + false + + + Feuille1 + 1896 + 0 + 100 + 60 + false + true + true + true + 12632256 + true + true + true + true + false + false + false + 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+\title{Proportionnalité - Exercices} +\tribe{Sixième} +\date{Mai 2019} + +\renewcommand{\arraystretch}{1.3} +\geometry{left=15mm,right=15mm, bottom= 10mm, top=10mm} + +\pagestyle{empty} + +\newcommand{\quant}{\icon[scale=0.2]{dust-cloud}} + +\begin{document} + +\begin{exercise}[subtitle={Au poids ou à l'unité}] + Un marchand vend des ananas à l'unité, à 2 \euro pièce. + + Il vend aussi des oranges au poids, à 1 \euro le kilogramme. + + Bob achète deux ananas qui pèsent un kilogramme et demi au total, ainsi que huit oranges qui pèsent au total 2 kilogrammes. + + Combien Bob va-t-il payer ? +\end{exercise} + +\begin{exercise}[subtitle={Proportionnel?}] + Caractériser chacune des situations suivantes. + \begin{enumerate} + \item Lilia a \quant ans et sa mère a \quant ans. Quelle age aura la maman de Lilia quand elle aura \quant ans? + \item Une élève a besoin de \quant clous pour accrocher \quant dessins au mur. Combien de clous aura-t-elle besoin pour attacher \quant dessins? + \item Emma part de chez elle à \quant h, elle prend Capucine en passant. Ensemble, elles vont au bus. Quand le bus arrive il est \quant h \quant. Au premier arrêt il est \quant h \quant. Il y a encore 3 arrêts. A quelle heure vont-elle arriver au collège? + \item Marie achète \quant paquets de \quant noix de coco. Un paquet coûte \quant \euro. Au bout du 3e paquet acheté, elle a une réduction de 3\euro. Combien paiera-t-elle pour \quant \euro? + \item Super tomate tue \quant soldats à super tacos en \quant parties. Combien en tuera-t-il en \quant parties? + \item Un agriculteur possède \quant champs qui font un total de \quant hectares. Combien d'hectares va faire \quant champs? + \end{enumerate} +\end{exercise} + +\vfill + +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{2} +\vfill + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/StLaurentGrandvaux/6e/Proportionnalite/E5_melange_grandeurs.pdf b/StLaurentGrandvaux/6e/Proportionnalite/E5_melange_grandeurs.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5a356615ede2fa11d52e66266575e0483d9b77a9 GIT binary patch literal 29184 zcmeFa1zc6j+At2Nq;x8^B?Kfk>Xj!ye&sC5LLjTOWS zve7q3=jBBQE4$emfxzl=`sPLkj_6<|Cw<4u6j2*{D|E1+pp7d?6P}-q_43k22gBc7 zmSRH(%jh}Un*ll4fE>Vk`2Ro-MI#3rCwl`U2M`-PNf8|^ZDeiYXbNKE0R8d@0Apt9 zXk-rpi(2YA8VMU2*cck2^YNiOINBTOS)sd*4r2Gp)AvpzA)uTgZlW7m8~*YJxP#+< z3Hgc$B~v{^GiwtNFE0qJWctg`Wzr?05D-|%#?r=K$yUz*AXeDO+04L5QA`lHwXxDO zvj!++xulMTm6Z*`r47$+V{hp2BmJj00CfPuPSysFW;WKB)m%MX)&u>o0bb<;VE%JC z0Kfkd5mq>JfxmF1*nYd01=9HVK>s6HaFM|Y`m3<6%ER%xy1#-2fEBcH0)z(83*i9x z$_j;mV3#-CoWM&FYq-GS<=8;KXbwOkKoMBP)e#UeNYhx)(!mIH`Tyk$KsUhh_BIAe zMveeXFrd;PZMec*=>r4+bEOZL()jz78v3^>H5~F45&w59^_9Z>k@CQs@l}JlYQX

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"Dans un problème ave Étape 5: Proportionnel à quoi? ============================= +Un `problème mélangeant les grandeurs <./E5_melange_grandeurs.pdf>`_ certains sont proportionnelles d'autres non. + + +Étape 6: Proportionnel à quoi? +============================= + On cherche à approfondir la notion de grandeurs proportionnelles. En utilisant les problèmes produits par les élèves, on crée des situations où les quantités ont disparues et où il faut retrouver si la situation est proportionnelle, non proportionnelle ou "on ne peut pas savoir". - `problèmes des 6A <./E5_grandeurs_prop_6A.pdf>`_ From bc7c191d412c47892adedcf3e2da2c2280fc34ad Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 23 May 2019 18:44:10 +0200 Subject: [PATCH 09/19] Fix: Notes en xlsx --- Notes/6A.fods | 1335 ----------------------------------------- Notes/6A.xlsx | Bin 0 -> 7776 bytes Notes/6B.fods | 1452 -------------------------------------------- Notes/6B.xlsx | Bin 0 -> 8027 bytes Notes/6C.fods | 1588 ------------------------------------------------- Notes/6C.xlsx | Bin 0 -> 8362 bytes 6 files changed, 4375 deletions(-) delete mode 100644 Notes/6A.fods create mode 100644 Notes/6A.xlsx delete mode 100644 Notes/6B.fods create mode 100644 Notes/6B.xlsx delete mode 100644 Notes/6C.fods create mode 100644 Notes/6C.xlsx diff --git 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+\documentclass[a4paper,10pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \huge 30 secondes par calcul + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + \huge + \[ + 1,567 \div 100 = + \] +\end{frame} + +\begin{frame}{Calcul 2} + \huge Arrondir au dixième + \[ + 12,864 + \] +\end{frame} + +\begin{frame}{Calcul 3} + \LARGE + Le marchand vend 4 pommes 5\euro. + + Combien me coûteront 8 pommes qui pèsent 2kg? +\end{frame} + +\begin{frame}{Calcul 4} + \huge + Calculer l'aire de la figure + \begin{center} + \begin{tikzpicture} + \filldraw[very thick, fill=blue!60] (-3,3) -- (-3,0) -- (4,0) -- (4,3) -- cycle; + \draw[step=1] (-5,-1) grid (5,5); + + \end{tikzpicture} + \end{center} + +\end{frame} + +\begin{frame}{Fin} + \begin{center} + \huge On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/StLaurentGrandvaux/6e/Questions_Flashs/QF_19_05_27-3.pdf 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l'unité + \[ + 12,864 + \] +\end{frame} + +\begin{frame}{Calcul 3} + \LARGE + 7m de fil de fer pèsent 2kg. + + Combien va peser 49m de fil de fer? + +\end{frame} + +\begin{frame}{Calcul 4} + \huge + Calculer l'aire de la figure + \begin{center} + \begin{tikzpicture} + \filldraw[very thick, fill=blue!60] (-3,2) -- (-3,0) -- (4,0) -- (4,2) -- cycle; + \draw[step=1] (-5,-1) grid (5,5); + + \end{tikzpicture} + \end{center} + +\end{frame} + +\begin{frame}{Fin} + \begin{center} + \huge On retourne son papier. + \end{center} +\end{frame} + + +\end{document} From 162fde9cc4b37bb3f7c15eb956cdad7ed7c369da Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Sat, 25 May 2019 09:57:02 +0200 Subject: [PATCH 13/19] Feat: QF pour les 5e --- .../5e/Questions_Flashs/QF_19_05_27-1.pdf | Bin 0 -> 70619 bytes .../5e/Questions_Flashs/QF_19_05_27-1.tex | 71 ++++++++++++++++++ .../5e/Questions_Flashs/QF_19_05_27-2.pdf | Bin 0 -> 65162 bytes .../5e/Questions_Flashs/QF_19_05_27-2.tex | 63 ++++++++++++++++ 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(3.3,0); + \filldraw[very thick, ->] (0,-3.3) -- (0,3.3); + \draw[step=1] (-3,-3) grid (3,3); + + \draw (2, 1) node {x} node[above left] {$A$}; + + \foreach \x in {-3,...,3} {% + \draw (\x, 0) node[below] {\small \x}; + \draw (0, \x) node[left ] {\small \x}; + } + \end{tikzpicture} + + \end{center} +\end{frame} + +\begin{frame}{Calcul 2} + \huge + Si $x = 2$, alors + \[ + 3x + 5 = + \] +\end{frame} + +\begin{frame}{Calcul 3} + \huge + \[ + -5 + 3 = + \] +\end{frame} + +\begin{frame}{Calcul 4} + \huge + Combien vaut les $\dfrac{3}{5}$ de 10? + \begin{center} + \begin{tikzpicture}[scale=2] + \foreach \x in {1,...,5} {% + \draw (\x,0) circle (0.4cm) node {\icon{cursed-star}}; + \draw (\x,1) circle (0.4cm) node {\icon{cursed-star}}; + } + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + \huge On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-2.pdf 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+ \end{center} +\end{frame} + + +\end{document} diff --git a/StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.pdf b/StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..4b446ee0022a626abd5f5524c72b6f6c968659eb GIT binary patch literal 70756 zcmeFa1zeQN`!+7!jdU!a5+bm>vIXNSA=qb2YOFz^ZBeb{f{6KbYT_AZXbrcNL*>?Jj9P6bmtb7u<>mhYow2i}y&e2(j{bmu5A?4K zJo+3^=Fisw`2G?I7p!uDe=tzsKc6cBuL%o-{!v-5CWGD3amzZo9)|1a`B7Owv10Zv zK%)Wo3*iCkl?w_1@xh-6@B(j2+QAweb{!aWXgRFx|PF-X_U(8kFW1pf_x z1F#KF6-RqxbyH`cOisY0LHaO*IkE=`P|T4%z+2s^nYAJ@AcUH>cZ`hT>i zhWyWkACP}7{D7DIn??t%(#l_1FIGLl6`sgLlA5UP8`;R|F!V$^UEZ|0&@8JD2=}iGEwuk-7fc)(+-?@NfZ5c{IuVH>{oi zo3Z|1wswJk&Dvol|F5-wYobTbk7=Sum;cHk|Cb%-sI&a4sPB9`d^m-0|C`nhg;91# zhVt)PJ3tBjOTHam^3hHF4UzJHaU}Df?CKww=#l0BAJlRF7$%?`UJ;3sUbfIvb1>hzuonf@*5q$|g&ZHR13*q1g3WV}-a6_U0 zB{dKI*XG9Xl7F-F{RTCEzGfL8B5D;Y&sqT!>HbntkR5dB#jHQK zLW0Tb%>L)fgmLF2jKyEPoUpZu?oSQRce<(_QAlK_d=;rA$U=&sL3#PQ_Xgo@&Y@NG 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b/StLaurentGrandvaux/5e/Questions_Flashs/QF_19_05_27-3.tex @@ -0,0 +1,71 @@ +\documentclass[a4paper,10pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \huge 30 secondes par calcul + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + \huge + Position de $A$ + + \begin{center} + \begin{tikzpicture}[scale=0.8] + \filldraw[very thick, ->] (-3.3,0) -- (3.3,0); + \filldraw[very thick, ->] (0,-3.3) -- (0,3.3); + \draw[step=1] (-3,-3) grid (3,3); + + \draw (2, -1) node {x} node[above left] {$A$}; + + \foreach \x in {-3,...,3} {% + \draw (\x, 0) node[below] {\small \x}; + \draw (0, \x) node[left ] {\small \x}; + } + \end{tikzpicture} + + \end{center} +\end{frame} + +\begin{frame}{Calcul 2} + \huge + Si $x = 5$, alors + \[ + 2 + 4x = + \] +\end{frame} + +\begin{frame}{Calcul 3} + \huge + \[ + -3 + 5 = + \] +\end{frame} + +\begin{frame}{Calcul 4} + \huge + Combien vaut les $\dfrac{3}{4}$ de 12? + \begin{center} + \begin{tikzpicture}[scale=2] + \foreach \x in {1,...,6} {% + \draw (\x,0) circle (0.4cm) node {\icon{cursed-star}}; + \draw (\x,1) circle (0.4cm) node {\icon{cursed-star}}; + } + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + \huge On retourne son papier. + \end{center} +\end{frame} + + +\end{document} From 75c78a4dd130726ca320212daf8a7afc3c03e321 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Sun, 26 May 2019 09:58:10 +0200 Subject: [PATCH 14/19] Feat: Bilan proba pour les 5e --- .../5e/Probabilite/B1_definition.pdf | Bin 0 -> 335216 bytes .../5e/Probabilite/B1_definition.svg | 153 ++++++++++++++++++ .../5e/Probabilite/fig/comparaison_proba.png | Bin 0 -> 148119 bytes .../5e/Probabilite/fig/creation_proba.png | Bin 0 -> 94759 bytes StLaurentGrandvaux/5e/Probabilite/index.rst | 2 +- 5 files changed, 154 insertions(+), 1 deletion(-) create mode 100644 StLaurentGrandvaux/5e/Probabilite/B1_definition.pdf create mode 100644 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Le résultat ne peut donc pas être prévu à l'avance.Pour mesurer la chance qu'un évènement arrive, on a utilisé des fractions. + + Cette fraction est appelé probabilité. Elle permet ensuite de comparer des expériences aléatoire entre elles. + + Une expérience aléatoire est une expérience dont le résultat est determiner par le hasard. Le résultat ne peut donc pas être prévu à l'avance.Pour mesurer la chance qu'un évènement arrive, on a utilisé des fractions. + + Cette fraction est appelé probabilité. 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......)L'abscisse (la colonne) du point A est 1.L'ordonnée (la ligne) du point A est 2.Le point de coordonnée (0;0) est l'origine du repère.Les coordonnées du point B sont (......; ......).Les coordonnées du point C sont (......; ......). + Axe des ordonnées + Axe des abscisses + + + + + + 1 + 2 + 3 + 4 + 5 + -1 + -2 + -3 + -4 + -5 + + 0 + + 1 + 2 + 3 + 4 + 5 + -1 + -2 + -3 + -4 + -5 + + + + + + + A + + + + + B + + + + + C + + Le repère + + + + + + From 7d6a9c26ada583fd2092e84c158ca71029d849a2 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 27 May 2019 10:31:38 +0200 Subject: [PATCH 17/19] Feat: suite de la bataille navale avec les 5e --- .../bataille_navale_recreatif_5A.svg | 77 +++++++++++++++++++ 1 file changed, 77 insertions(+) diff --git a/StLaurentGrandvaux/5e/Nombres_relatifs/bataille_navale_recreatif_5A.svg b/StLaurentGrandvaux/5e/Nombres_relatifs/bataille_navale_recreatif_5A.svg index c25914a..4bdb791 100644 --- 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