Premier contenu pour les 6e (p2)
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@ -2,7 +2,7 @@ Tracer des droites perpendiculaires et parallèles avec les 6e pour l'année 201
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####################################################################################
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:date: 2017-10-19
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:modified: 2017-10-19
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:modified: 2017-10-22
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:authors: Bertrand Benjamin
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:category: 6e
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:tags: Géométrie, Algorithme
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@ -37,3 +37,8 @@ Amélioration de la méthode pour tracer des parallèles.
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Application sur des exemples plus compliqués.
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/!\ à préparer
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Étape 4
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=======
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Programme de construction intégrant perpendiculaires, parallèles, segments, droites...
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BIN
6e/Geometrie/Programme_construction/fig/triangle_gonfle.pdf
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6e/Geometrie/Programme_construction/fig/triangle_gonfle.pdf
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6e/Geometrie/Programme_construction/fig/triangle_gonfle.svg
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6e/Geometrie/Programme_construction/fig/triangle_gonfle.svg
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<title>Point E</title>
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<desc>Point E: Milieu de c</desc>
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<title>Point E</title>
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<desc>Point E: Milieu de c</desc>
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After Width: | Height: | Size: 15 KiB |
@ -2,7 +2,7 @@ Suivre un programme de construction géométrique avec les 6e pour l'année 2017
|
||||
##################################################################################
|
||||
|
||||
:date: 2017-10-19
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:modified: 2017-10-19
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:modified: 2017-10-22
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:authors: Bertrand Benjamin
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:category: 6e
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:tags: Géométrie, Algorithme
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@ -12,7 +12,8 @@ Suivre un programme de construction géométrique avec les 6e pour l'année 2017
|
||||
Étape 1
|
||||
=======
|
||||
|
||||
Bonne figure en suivant algo de construction.
|
||||
/!\ premier 2 faux
|
||||
`Trouver les erreurs <./trouver_erreurs.pdf>`_ dans les dessins faits à partir de programme de construction.
|
||||
|
||||
Le dernier aucune bonne réponse les élèves doivent faire le juste.
|
||||
|
||||
@ -21,7 +22,7 @@ Bilan: vocabulaire point, segment, droite, cercle, rayon, diamètre.
|
||||
Étape 2
|
||||
=======
|
||||
|
||||
Suivre un programme de construction avec géogébra.
|
||||
Suivre un `programme de construction avec géogébra <./pgm_construction_geogebra.pdf>`_.
|
||||
|
||||
Bilan: pgm de construction avec la BD à côté.
|
||||
|
||||
@ -29,3 +30,12 @@ Bilan: pgm de construction avec la BD à côté.
|
||||
=======
|
||||
|
||||
Petit livret à transmettre.
|
||||
|
||||
/!\ Trouver les dessins (carré dans cercle et inversement).
|
||||
|
||||
Étape 4 (dans la durée)
|
||||
========================
|
||||
|
||||
Voici un `livret de dessins géométriques <http://pratiquesdeclasse.eklablog.com/fichier-apprendre-la-geometrie-par-le-programme-de-construction-cm-p626791>`_ à faire à partir d'un programme de construction.
|
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|
||||
|
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|
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Binary file not shown.
@ -0,0 +1,66 @@
|
||||
\documentclass[a5paper,12pt]{article}
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\usepackage{myXsim}
|
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\author{}
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\date{Octobre 2017}
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\title{Programmes de construction avec Géogébra}
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\tribe{Sixième}
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\pagestyle{empty}
|
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\begin{document}
|
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|
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\begin{exercise}[subtitle={Le triangle gonflé}]
|
||||
Exécuter le programme de construction avec Géogébra pour obtenir une figure similaire:
|
||||
|
||||
\begin{center}
|
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\includegraphics[scale=0.6]{./fig/triangle_gonfle}
|
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|
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\Ovalbox{%
|
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\begin{minipage}{0.9\textwidth}
|
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\begin{itemize}
|
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\item Placer 3 points $A$, $B$ et $C$.
|
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\item Tracer le triangle $ABC$.
|
||||
\item Placer le point $D$ au milieu de $[AB]$, $E$ au milieu de $[BC]$ et $F$ au milieu de $[CA]$.
|
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\item Tracer l'arc de cercle de centre $D$ allant de $A$ à $B$.
|
||||
\item Tracer l'arc de cercle de centre $E$ allant de $B$ à $C$.
|
||||
\item Tracer l'arc de cercle de centre $F$ allant de $C$ à $A$.
|
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\end{itemize}
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\end{minipage}
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}
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\end{center}
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\end{exercise}
|
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|
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\begin{exercise}[subtitle={Conjecture des milieux}]
|
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Voici un programme de construction géométrique.
|
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\begin{center}
|
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\Ovalbox{%
|
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\begin{minipage}{0.7\textwidth}
|
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\begin{itemize}
|
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\item Placer 3 points $A$, $B$ et $C$
|
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\item Tracer les droites $(AB)$ et $(AC)$
|
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\item Tracer le segment $[BC]$
|
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\item Placer $D$ au mileu de $[AB]$
|
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\item Placer $E$ le milieu du segment $[AC]$
|
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\item Tracer le segment $[DE]$
|
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\end{itemize}
|
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\end{minipage}
|
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}
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\end{center}
|
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\begin{enumerate}
|
||||
\item Exécuter ce programme avec Géogébra.
|
||||
\item Mesurer les segment $[BC]$ et $[DE]$. Quelle conjecture pouvez vous faire?
|
||||
\end{enumerate}
|
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|
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\end{exercise}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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BIN
6e/Geometrie/Programme_construction/trouver_erreurs.pdf
Normal file
BIN
6e/Geometrie/Programme_construction/trouver_erreurs.pdf
Normal file
Binary file not shown.
752
6e/Geometrie/Programme_construction/trouver_erreurs.svg
Normal file
752
6e/Geometrie/Programme_construction/trouver_erreurs.svg
Normal file
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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% Title Page
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\title{Proportionnalité - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\tribe{Cinquième}
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\date{Octobre 2017}
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\pagestyle{empty}
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\begin{document}
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\begin{exercise}[subtitle={Grandeurs \Cal \Mod}]
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\begin{enumerate}
|
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\item Dans une pile de cahiers vendus à l'unité, Abdou choisit 7 cahiers et il paie 21 \euro. Sabrina en choisit 14. Combien paie-t-elle?
|
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\item Roufouanti sait que pour cuisiner 3 gâteaux, elle a besoin de 4 tablettes de chocolat. Combien de tablette a-t-elle besoin pour faire 9 gâteaux?
|
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\item Dans une recette de poutou, on peut lire: "Mettre 6 citrons pour 8 piments". Combien de citron faudrait-il pour 4 piments?
|
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\item Un touriste a plan de Sada. Il remarque que 4cm sur la carte correspond à 300m dans la ville. À combien correspond 20cm sur le pan?
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Prévisible? \Mod}]
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\begin{enumerate}
|
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\item Une boîte de crayons coûte 7 \euro. Combien coûte une boîte de 20 crayons du même type?
|
||||
\item Quand j'avais 10 ans je mesurai 1m50. Quel taille vais-ja avoir à 20ans?
|
||||
\end{enumerate}
|
||||
\end{exercise}
|
||||
|
||||
\vfill
|
||||
\printexercise{exercise}{1}
|
||||
\printexercise{exercise}{2}
|
||||
\vfill
|
||||
\printexercise{exercise}{1}
|
||||
\printexercise{exercise}{2}
|
||||
\vfill
|
||||
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
6e/Nombres_Calculs/Proportionnalite1/E3_tbl_reconnaitre_prop.pdf
Normal file
BIN
6e/Nombres_Calculs/Proportionnalite1/E3_tbl_reconnaitre_prop.pdf
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Binary file not shown.
@ -0,0 +1,48 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
% Title Page
|
||||
\title{Proportionnalité - Exercices}
|
||||
% \seconde \premiereS \PSTMG \TSTMG
|
||||
\tribe{Cinquième}
|
||||
\date{Octobre 2017}
|
||||
|
||||
\renewcommand{\arraystretch}{1.3}
|
||||
\geometry{left=15mm,right=15mm, bottom= 10mm, top=10mm}
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{exercise}[subtitle={Doubler, tripler... \Cal \Mod}]
|
||||
\hspace{-1cm}
|
||||
\begin{tabular}{|p{6cm}|p{4cm}|*{2}{p{2.5cm}|}p{2cm}|}
|
||||
\hline
|
||||
Problème & Calculs et réponse & Grandeur 1 (unité) & Grandeur 2 (unité) & Situation \\
|
||||
\hline
|
||||
\textbf{1. Cahiers} \newline On achète 6 cahiers et on paie 13 \euro. \newline Combien coûteront 12 cahiers? & & & & \\
|
||||
\hline
|
||||
\textbf{2. Âges} \newline Sabrina a 11 ans et sa mère a 25ans. \newline Quand Sabrina aura 22ans, quelle âge aura sa mère? & & & & \\
|
||||
\hline
|
||||
\textbf{3. Feutres} \newline Abdou a acheté 10 feutres. Il aie 3 \euro. \newline Jean en achète 30. Combien paie-t-il? & & & & \\
|
||||
\hline
|
||||
\textbf{4. Exercices} \newline J'ai trois exercices à faire. J'ai mis 5 minutes à faire le premier. \newline Combien de temps me faudra-t-il pour faire les trois? & & & & \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
|
||||
\end{exercise}
|
||||
|
||||
\vfill
|
||||
\printexercise{exercise}{1}
|
||||
\vfill
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
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%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
@ -2,7 +2,7 @@ Initiation à la proportionnalité avec les 6e pour l'année 2017-2018
|
||||
###################################################################
|
||||
|
||||
:date: 2017-10-19
|
||||
:modified: 2017-10-19
|
||||
:modified: 2017-10-22
|
||||
:authors: Bertrand Benjamin
|
||||
:category: 6e
|
||||
:tags: Opérations, Proportionnalite
|
||||
@ -14,7 +14,7 @@ Initiation à la proportionnalité avec les 6e pour l'année 2017-2018
|
||||
|
||||
Banque de problèmes simples. Mise en place des stratégies.
|
||||
|
||||
/!\ à faire
|
||||
Exercice 1 de `initiation à la proportionnalité <./E1-2_pb_prop.pdf>`_.
|
||||
|
||||
Bilan: les bonnes réponses bien rédigées des élèves.
|
||||
|
||||
@ -23,7 +23,7 @@ Bilan: les bonnes réponses bien rédigées des élèves.
|
||||
|
||||
Perturbation de la situation de la proportionnalité. Certains problèmes ne peuvent pas avoir de réponses.
|
||||
|
||||
/!\ à faire
|
||||
Exercice 2 de la fiche.
|
||||
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
BIN
6e/Unites/Decimaux_fractions/abscisse_fractions.pdf
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6e/Unites/Decimaux_fractions/abscisse_fractions.pdf
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950
6e/Unites/Decimaux_fractions/abscisse_fractions.svg
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950
6e/Unites/Decimaux_fractions/abscisse_fractions.svg
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@ -2,7 +2,7 @@ Mesurer des poids et comparer les fractions avec les 6e pour l'année 2017-2018
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##############################################################################
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:date: 2017-10-19
|
||||
:modified: 2017-10-19
|
||||
:modified: 2017-10-22
|
||||
:authors: Bertrand Benjamin
|
||||
:category: 6e
|
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:tags: Décimaux, Fractions
|
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@ -12,20 +12,21 @@ Mesurer des poids et comparer les fractions avec les 6e pour l'année 2017-2018
|
||||
Étape 1
|
||||
=======
|
||||
|
||||
Abscisses de points et règles graduées. Tous les abscisses tombent sur des dixièmes sauf un pour introduire les centièmes.
|
||||
`Abscisses de points et règles graduées <./abscisse_fractions.pdf>`_ . Les élèves doivent retrouver la longueur des segments en utilisant la règle la plus appropriée. Il sera intéressant de faire le point sur les graduations de chaque règle.
|
||||
|
||||
/!\ à faire
|
||||
On peut découper la partie avec les règles pour faciliter les manipulations.
|
||||
|
||||
Tous les abscisses tombent sur des dixièmes sauf un pour introduire les centièmes.
|
||||
|
||||
Bilan: On donne l'abscisse de certain points avec les dixièmes et on introduit les nombres décimaux.
|
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||||
Étape 2
|
||||
=======
|
||||
|
||||
/!\ à faire
|
||||
Dessin mystère avec des décimaux, des dixièmes, des centièmes...
|
||||
`Dessin mystère <./dessin_mystere.pdf>`_ où il faut placer des points à partir de leur abscisse (avec des décimaux, des dixièmes, des centièmes...).
|
||||
|
||||
/!\ à faire
|
||||
Bilan: passer des dixièmes et des centièmes à l'unité ou autres.
|
||||
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||||
Bilan: La règle du dessin mystère sert de bilan pour passer des dixièmes et des centièmes à l'unité ou autres.
|
||||
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
Loading…
Reference in New Issue
Block a user