On avance sur la p5 avec les 601
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6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.pdf
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6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.tex
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6e/Geometrie/Dessinee_mathematiques/B2_dessin_math.tex
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\author{}
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\date{Mai 2018}
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\title{Géométrie dessinée vs géométrie mathématique}
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\tribe{Sixième}
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Les mathématiciens n'étudient pas les dessins géométriques car sur un dessin, il y a forcément des défauts de tracé et les mesures ne peuvent pas être exactes.
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Pour mieux comprendre le monde qui nous entoure, les mathématiciens ont décidé d'étudier des objets géométriques entièrement \textbf{imaginaires, parfaits, avec des mesures exactes} : un cercle parfaitement rond, sans épaisseur ; un segment parfaitement droit d'exactement 3,8 cm etc.
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Il y a donc deux types de géométrie plane.
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\bigskip
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\hspace{-1cm}
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\begin{tabular}{|*{2}{p{0.5\textwidth}|}}
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\hline
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\parbox[m]{0.4\textwidth}{\textbf{Géométrie dessinée} \\ Étudiée à l'école primaire et au collège} &
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\parbox[m]{0.4\textwidth}{\textbf{Géométrie mathématique} \\ Étudiée au collège, au lycée, ...} \\
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\hline
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On étudie et on fait des dessins: segments dessinés, carrés dessinés ... &
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On étudie des objets géométriques imaginaires et "parfait": segment mathématiques, carrés mathématiques ... \\
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\hline
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La mesure d'un segment dessiné ne peut pas être infiniment précise ni exacte &
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La longueur d'un segment imaginaire est infiniment précise et exacte \\
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\hline
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Une droite dessinée n'est pas parfaitement droite et elle a une épaisseur et une couleur &
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Une droite mathématique est parfaitement droite et elle n'a pas d'épaisseur ni de couleur. \\
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\hline
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Une figure doit être dessinée avec la plus grande précision &
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Un croquis à main levé suffit, par contre il faut coder la figure.\\
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\hline
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\end{tabular}
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}
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6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.pdf
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6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.tex
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6e/Geometrie/Dessinee_mathematiques/E1_vraifaux.tex
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\author{}
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\date{Mars 2018}
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\title{Vrais/Faux sur les quadrilatères}
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\tribe{Sixième}
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\pagestyle{empty}
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\begin{document}
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\begin{exercise}[subtitle={Vrai ou faux?}]
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En t'aidant des figures que tu peux déformer sur la tablette, dit si les phrases suivantes sont vraies ou fausses. Tu peux faire un dessin pour expliquer ta réponse.
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\begin{enumerate}
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\item Tous les carrés sont des quadrilatères.
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\item Tous les rectangles ont les quatre côtés de la même longueur.
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\item Tous les carrés sont des losanges.
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\item Il existe des rectangles qui sont aussi des carrés.
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\item Tous les losanges ont leurs diagonales qui se coupent en angle droit.
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\end{enumerate}
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\end{exercise}
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\vfill
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\vfill
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6e/Geometrie/Dessinee_mathematiques/E4_double_carre.pdf
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6e/Geometrie/Dessinee_mathematiques/E4_double_carre.tex
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6e/Geometrie/Dessinee_mathematiques/E4_double_carre.tex
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\author{}
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\date{Mars 2018}
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\title{Double carré}
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\tribe{Sixième}
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\pagestyle{empty}
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\begin{document}
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\begin{exercise}[subtitle={Double carré}]
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ABEF est un carré mathématique tel que : AB = 5 cm.
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BCDE est un autre carré mathématique.
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\begin{enumerate}
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\item Faire un croquis à main levé de la figure.
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\item Tracer le plus précisément la figure.
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\item Quel est le périmètre du rectangle mathématique ACDF ? Quelle est son aire ?
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\item Quel est le périmètre du triangle mathématique ADF ? Quelle est son aire ?
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\end{enumerate}
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6e/Geometrie/Dessinee_mathematiques/Quadrilateres.ggb
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6e/Geometrie/Dessinee_mathematiques/Quadrilateres.ggb
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6e/Geometrie/Dessinee_mathematiques/fig/quadrilatere_dessine.jpg
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@ -2,7 +2,7 @@ De la géométrie dessinée à la géométrie mathématiques avec les 6e pour l'
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########################################################################################
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:date: 2018-05-01
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:modified: 2018-05-01
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:modified: 2018-05-07
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:authors: Bertrand Benjamin
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:category: 6e
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:tags: Geométrie
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@ -18,10 +18,12 @@ Série de Vrai/faux sur des phrases nécessitants la déformation des figures
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-> Tous les carrés sont des quadrilatères.
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Cahier de bord: Dessins des quadrilatères avec les phrases justes sur chaque quadrilatères.
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Étape 2: Tracer des quadrilatères
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=================================
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On demande à tous les élèves de nous tracer un quadrilatère et un carré sur une feuille blanche.
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On demande à tous les élèves de nous tracer un quadrilatère et un carré sur une feuille blanche (en précisant qu'ils doivent coder leurs figures)
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En plénière, on demande que doit-on vérifier pour valider ou pas les dessins.
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@ -33,14 +35,14 @@ On ouvre sur la différence entre la géométrie dessinée et la géométrie mat
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Étape 3
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=======
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Avec les productions des élèves, les disques..., les élèves nomment les figures puis cherchent exhaustivement les defauts.
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Avec les productions des élèves, les disques..., les élèves nomment les figures puis cherchent exhaustivement les défauts.
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Cahier de bord: Bilan p 340.
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Cahier de bord: `différences entre géométrie dessinée et géométrie mathématique <./B2_dessin_math.pdf>`_
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Étape 4
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=======
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Calcul de l'aire et du périmètre avec 2 carrés (cfp351)
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Calcul de l'aire et du périmètre avec `2 carrés <./E4_double_carre.pdf>`_
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Étape 5
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=======
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6e/Unites/Volumes/B3_volumes.pdf
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6e/Unites/Volumes/E4_calculer_volume.pdf
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\date{Mai 2018}
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\title{Calculer le volume}
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\tribe{Sixième}
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\begin{exercise}[subtitle={Calculer les volumes \Rep}]
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\begin{enumerate}
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\item Calculer le volume des 3 objets suivants
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\hspace{-1.2cm}
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\includegraphics[scale=0.8]{./fig/volumes_cubes}
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\item Calculer le volume des 2 objets suivants
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\hspace{-1cm}
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\includegraphics[scale=0.8]{./fig/volumes_nocubes}
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Empillement des cubes \Rep}]
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Quel est le volume de chacun de ces empilements?
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\includegraphics[scale=0.4]{./fig/empilements}
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\end{exercise}
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6e/Unites/Volumes/fig/empilements.png
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|
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##########################################
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|
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:date: 2018-05-02
|
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:modified: 2018-05-02
|
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:modified: 2018-05-07
|
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:authors: Bertrand Benjamin
|
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:category: 6e
|
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:tags: Géométrie, Volumes
|
||||
@ -29,22 +29,22 @@ Puis en groupe, on cherche à décrire en une phrase comment on peut reconnaîtr
|
||||
|
||||
Cahier de bord: Les phrases produites par les élèves.
|
||||
|
||||
Étape 2
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
Mesure de tout ce qui est possible de mesurer sur des volumes physiques.
|
||||
|
||||
Cahier de bord: introduction du volume et de l'unité de volume.
|
||||
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
Empilement de cubes où l'on calcule les volumes
|
||||
|
||||
Cahier de bord: Formule du volume d'un pavé droit
|
||||
Cahier de bord: `introduction du volume et de l'unité de volume <./B3_volumes.pdf>`_
|
||||
|
||||
Étape 4
|
||||
=======
|
||||
|
||||
`Empilements de cubes <./E4_calculer_volume.pdf>`_ où l'on calcule les volumes
|
||||
|
||||
Cahier de bord: Formule du volume d'un pavé droit
|
||||
|
||||
Étape 5
|
||||
=======
|
||||
|
||||
Tache complexe avec un calcul de volume.
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user