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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: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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:authors: Bertrand Benjamin
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:category: 6e
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:category: 6e
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:tags: Géométrie, Algorithme
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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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Application sur des exemples plus compliqués.
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/!\ à préparer
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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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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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<title>Arc f</title>
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<desc>Arc f: ArcCercle(F, B, C)</desc>
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<title>Segment c</title>
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<desc>Segment c: Segment [AB]</desc>
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<title>Segment a</title>
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<desc>Segment a: Segment [BC]</desc>
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<title>Segment b</title>
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<desc>Segment b: Segment [CA]</desc>
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<desc>A = (7.94, 2.04)</desc>
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<title>Point A</title>
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<desc>A = (7.94, 2.04)</desc>
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<title>Point A</title>
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<desc>A = (7.94, 2.04)</desc>
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<title>Point B</title>
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<desc>B = (6.06, 0.24)</desc>
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<title>Point B</title>
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<desc>B = (6.06, 0.24)</desc>
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<title>Point C</title>
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<desc>C = (12.42, 0.52)</desc>
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<title>Point C</title>
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<desc>C = (12.42, 0.52)</desc>
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<title>Point C</title>
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<desc>C = (12.42, 0.52)</desc>
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<title>Point D</title>
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<desc>Point D: Milieu de b</desc>
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<title>Point D</title>
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<desc>Point D: Milieu de b</desc>
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<title>Point D</title>
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<title>Point E</title>
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<title>Point E</title>
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<desc>Point E: Milieu de c</desc>
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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
|
:date: 2017-10-19
|
||||||
:modified: 2017-10-19
|
:modified: 2017-10-22
|
||||||
:authors: Bertrand Benjamin
|
:authors: Bertrand Benjamin
|
||||||
:category: 6e
|
:category: 6e
|
||||||
:tags: Géométrie, Algorithme
|
:tags: Géométrie, Algorithme
|
||||||
@ -12,7 +12,8 @@ Suivre un programme de construction géométrique avec les 6e pour l'année 2017
|
|||||||
Étape 1
|
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.
|
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
|
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.
|
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.
|
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.
|
||||||
|
|
||||||
|
|
||||||
|
|||||||
Binary file not shown.
@ -0,0 +1,66 @@
|
|||||||
|
\documentclass[a5paper,12pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
\author{}
|
||||||
|
\date{Octobre 2017}
|
||||||
|
\title{Programmes de construction avec Géogébra}
|
||||||
|
\tribe{Sixième}
|
||||||
|
|
||||||
|
|
||||||
|
\pagestyle{empty}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Le triangle gonflé}]
|
||||||
|
Exécuter le programme de construction avec Géogébra pour obtenir une figure similaire:
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\includegraphics[scale=0.6]{./fig/triangle_gonfle}
|
||||||
|
|
||||||
|
\Ovalbox{%
|
||||||
|
\begin{minipage}{0.9\textwidth}
|
||||||
|
\begin{itemize}
|
||||||
|
\item Placer 3 points $A$, $B$ et $C$.
|
||||||
|
\item Tracer le triangle $ABC$.
|
||||||
|
\item Placer le point $D$ au milieu de $[AB]$, $E$ au milieu de $[BC]$ et $F$ au milieu de $[CA]$.
|
||||||
|
\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 $A$.
|
||||||
|
\end{itemize}
|
||||||
|
\end{minipage}
|
||||||
|
}
|
||||||
|
\end{center}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Conjecture des milieux}]
|
||||||
|
Voici un programme de construction géométrique.
|
||||||
|
\begin{center}
|
||||||
|
\Ovalbox{%
|
||||||
|
\begin{minipage}{0.7\textwidth}
|
||||||
|
\begin{itemize}
|
||||||
|
\item Placer 3 points $A$, $B$ et $C$
|
||||||
|
\item Tracer les droites $(AB)$ et $(AC)$
|
||||||
|
\item Tracer le segment $[BC]$
|
||||||
|
\item Placer $D$ au mileu de $[AB]$
|
||||||
|
\item Placer $E$ le milieu du segment $[AC]$
|
||||||
|
\item Tracer le segment $[DE]$
|
||||||
|
\end{itemize}
|
||||||
|
\end{minipage}
|
||||||
|
}
|
||||||
|
\end{center}
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Exécuter ce programme avec Géogébra.
|
||||||
|
\item Mesurer les segment $[BC]$ et $[DE]$. Quelle conjecture pouvez vous faire?
|
||||||
|
\end{enumerate}
|
||||||
|
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
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|
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|
\end{document}
|
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|
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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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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Cantarell;-inkscape-font-specification:Cantarell">Placer un point E en dehors du carré.</flowPara><flowPara
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Cantarell;-inkscape-font-specification:Cantarell">Tracer les segments [AE] et [BE].</flowPara><flowPara
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id="flowSpan2173">2.</flowSpan> Commente les dessins de Jean et de Attoumane. Ont-ils bien suivi le programme de construction?</flowPara></flowRoot> <g
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|
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After Width: | Height: | Size: 44 KiB |
BIN
6e/Nombres_Calculs/Proportionnalite1/E1-2_pb_prop.pdf
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|
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\usepackage{myXsim}
|
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|
% Title Page
|
||||||
|
\title{Proportionnalité - Exercices}
|
||||||
|
% \seconde \premiereS \PSTMG \TSTMG
|
||||||
|
\tribe{Cinquième}
|
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|
\date{Octobre 2017}
|
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||||||
|
\pagestyle{empty}
|
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|
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|
\begin{document}
|
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|
|
||||||
|
\begin{exercise}[subtitle={Grandeurs \Cal \Mod}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\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?
|
||||||
|
\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?
|
||||||
|
\item Dans une recette de poutou, on peut lire: "Mettre 6 citrons pour 8 piments". Combien de citron faudrait-il pour 4 piments?
|
||||||
|
\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?
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Prévisible? \Mod}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\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}
|
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|
\vfill
|
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|
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|
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|
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|
\documentclass[a4paper,12pt]{article}
|
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|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
% Title Page
|
||||||
|
\title{Proportionnalité - Exercices}
|
||||||
|
% \seconde \premiereS \PSTMG \TSTMG
|
||||||
|
\tribe{Cinquième}
|
||||||
|
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|
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|
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|
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|
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|
\pagestyle{empty}
|
||||||
|
|
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|
\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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|
||||||
|
%%% TeX-master: "master"
|
||||||
|
%%% End:
|
||||||
|
|
||||||
@ -2,7 +2,7 @@ Initiation à la proportionnalité avec les 6e pour l'année 2017-2018
|
|||||||
###################################################################
|
###################################################################
|
||||||
|
|
||||||
:date: 2017-10-19
|
:date: 2017-10-19
|
||||||
:modified: 2017-10-19
|
:modified: 2017-10-22
|
||||||
:authors: Bertrand Benjamin
|
:authors: Bertrand Benjamin
|
||||||
:category: 6e
|
:category: 6e
|
||||||
:tags: Opérations, Proportionnalite
|
: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.
|
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.
|
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.
|
Perturbation de la situation de la proportionnalité. Certains problèmes ne peuvent pas avoir de réponses.
|
||||||
|
|
||||||
/!\ à faire
|
Exercice 2 de la fiche.
|
||||||
|
|
||||||
Étape 3
|
Étape 3
|
||||||
=======
|
=======
|
||||||
|
|||||||
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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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##############################################################################
|
##############################################################################
|
||||||
|
|
||||||
:date: 2017-10-19
|
:date: 2017-10-19
|
||||||
:modified: 2017-10-19
|
:modified: 2017-10-22
|
||||||
:authors: Bertrand Benjamin
|
:authors: Bertrand Benjamin
|
||||||
:category: 6e
|
:category: 6e
|
||||||
:tags: Décimaux, Fractions
|
:tags: Décimaux, Fractions
|
||||||
@ -12,20 +12,21 @@ Mesurer des poids et comparer les fractions avec les 6e pour l'année 2017-2018
|
|||||||
Étape 1
|
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.
|
Bilan: On donne l'abscisse de certain points avec les dixièmes et on introduit les nombres décimaux.
|
||||||
|
|
||||||
Étape 2
|
Étape 2
|
||||||
=======
|
=======
|
||||||
|
|
||||||
/!\ à faire
|
`Dessin mystère <./dessin_mystere.pdf>`_ où il faut placer des points à partir de leur abscisse (avec des décimaux, des dixièmes, des centièmes...).
|
||||||
Dessin mystère avec des décimaux, des dixièmes, des centièmes...
|
|
||||||
|
|
||||||
/!\ à faire
|
|
||||||
Bilan: passer des dixièmes et des centièmes à l'unité ou autres.
|
Bilan: La règle du dessin mystère sert de bilan pour passer des dixièmes et des centièmes à l'unité ou autres.
|
||||||
|
|
||||||
Étape 3
|
Étape 3
|
||||||
=======
|
=======
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user