Chapitre sur les parallélogramme ok pour les 5e

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Bertrand Benjamin 2019-05-08 11:37:46 +02:00
parent 3f7c26c1c8
commit babaccaeed
9 changed files with 4090 additions and 4 deletions

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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\title{Vrai-faux}
\tribe{Cinquième}
\date{Mai 2019}
\pagestyle{empty}
\begin{document}
\begin{exercise}[subtitle={Vrai ou faux?}]
Chacune des affirmations suivantes te semble-t-elle vraie ou fausse ? Si tu penses quelle est fausse, prouve-le.
\textbf{Reconnaissance d'un parallélogramme}
\begin{enumerate}
\item Un quadrilatère dont les côtés opposés sont parallèles est toujours un parallélogramme.
\item Un quadrilatère dont les diagonales ont le même milieu est toujours un parallélogramme.
\item Un quadrilatère dont les côtés opposés ont la même longueur toujours est un parallélogramme.
\end{enumerate}
\textbf{Reconnaissance d'un losange}
\begin{enumerate}
\setcounter{enumi}{3}
\item Un quadrilatère qui a trois côtés de la même longueur est toujours un losange.
\item Un quadrilatère qui a des diagonales perpendiculaires est toujours un losange.
\item Un parallélogramme qui a des diagonales perpendiculaires est toujours un losange.
\end{enumerate}
\textbf{Reconnaissance d'un rectangle}
\begin{enumerate}
\setcounter{enumi}{6}
\item Un quadrilatère qui a trois angles droits est toujours un rectangle.
\item Un parallélogramme dont les diagonales ont la même longueur est toujours un rectangle.
\item Un parallélogramme qui a un angle droit est toujours un rectangle.
\end{enumerate}
\textbf{Reconnaissance d'un carré}
\begin{enumerate}
\setcounter{enumi}{9}
\item Un quadrilatère qui a quatre côtés de la même longueur est toujours un carré.
\item Un quadrilatère qui a quatre angles droits est toujours un carré.
\item Un rectangle qui a des diagonales perpendiculaires est toujours un carré.
\item Un losange qui a un angle droit est toujours un carré.
\end{enumerate}
\end{exercise}
\printexercise{exercise}{1}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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@ -12,11 +12,42 @@ Parallélogramme et reconnaissance des quadrilatères avec les 5e pour l'année
Étape 1: Retour sur les notions vues en géométrie Étape 1: Retour sur les notions vues en géométrie
================================================= =================================================
Exercice de la ribambelle. Les élèves doivent atteindre une cible en construisant plusieurs figures. Cette activité permet de revoir un peu tout ce qui a été vues précédemment en géométrie. Exercice de la `ribambelle <./E1_ribambelle.pdf>`_. Les élèves doivent atteindre une cible en construisant plusieurs figures. Cette activité permet de revoir un peu tout ce qui a été vues précédemment en géométrie.
Cahier de bord: Les derniers tracés font construire un parallélogramme. On en profitera pour donner la définition. Cahier de bord: Les derniers tracés font construire un parallélogramme. On en profitera pour donner la définition et coller `un exemple de parallélogramme <./B1_parallelogramme.pdf>`_.
Ètape 2: Le parallélogramme Étape 2: Le parallélogramme
=========================== ===========================
Exercices techniques de construction de parallélogrammes Exercices techniques de construction de parallélogrammes. On leur demande séparer une feuille blanche en 4.
- Dans les 2 premières parties, ils doivent placer 3 points A, B, C.
- Dans la 3e parties, ils doivent placer 3 points A, B, C tels que (AB) et (AC) soient perpendiculaires.
- Dans la 4e parties, ils doivent placer 3 points A, B, C tels que AB et AC soient égales.
On leurs demande ensuite dans chacun des cas de placer le points D tel que ABCD soit un parallélogramme en utilisant la règle et le compas.
Cahier de bord: On s'interroge sur les parallélogrammes 3 et 4. On écrit dans le cahier de bord que le rectangle et le losange sont des parallélogrammes particuliers.
Étape 3: Symétries des quadrilatères
=====================================
On pose la question:
Les parallélogrammes, les rectangles, les losanges et les carrés ont-ils des axes de symétries? des centres de symétries?
Les élèves commencent à répondre aux questions seuls puis en groupe. Ils sont invité à construire des exemples et à utiliser le matériel qui leur semble approprié (calque, pliage...)
Cahier de bord: On note les `différentes symétries retrouvées sur les quadrilatères <./B3_quadrilateres_particuliers.pdf>`_.
Étape 4: Propriétés des quadrilatères
=====================================
`Une fiche de vrai-faux <./E4-vraifaux.pdf>`_ est donnée . Les élèves doivent expliquer leurs réponses à l'aide d'un croquis ou d'une propriété.
En classe, on commence à travailler sur les premiers, d'abord seul puis en groupe et enfin les groupes expliquent leurs réponses et on débat des démonstrations.
Quelques un sont donné à faire à la maison.
Cahier de bord: Les propriétés vraies sont notés dans le cahier de bord.