Feat(Clg_Mouthe): Notes sur les fractions et pythagore
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Clg_Mouthe/4e/Geometrie/Pythagore/B1_Puzzle_Pythagore.pdf
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After Width: | Height: | Size: 15 KiB |
@ -45,17 +45,21 @@ On présente l'animation `puzzle <./puzzle.ggb>`_ (ou sous `la version mepc <./p
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On leur demande d'exploiter cette découverte pour calculer la longueur pour le triangle 5-12. Après un travail de groupe, si l'idée n'a pas émergée, on peut faire un croquis pour y calculer l'aire des carrés.
|
On leur demande d'exploiter cette découverte pour calculer la longueur pour le triangle 5-12. Après un travail de groupe, si l'idée n'a pas émergée, on peut faire un croquis pour y calculer l'aire des carrés.
|
||||||
|
|
||||||
Cahier de bord: une note sur l'écriture axa qui peut être réécrite avec un carré.
|
Cahier de bord: une note sur l'écriture a*a qui peut être réécrite avec un carré.
|
||||||
|
|
||||||
Étape 3: Pratique du proto-théorème
|
Étape 3: Pratique du proto-théorème
|
||||||
===================================
|
===================================
|
||||||
|
|
||||||
Réutilisation de ce qui a été fait l'étape 2 sur 3 exemples (sans utilisation de la racine carré). Chaque groupe produit un début de rédaction afin de garder une trace pour le cahier de bord.
|
Réutilisation de ce qui a été fait l'étape 2 sur 3 exemples (sans utilisation de la racine carré). Chaque groupe produit un début de rédaction afin de garder une trace pour le cahier de bord.
|
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|
|
||||||
Étape 4: Technique et intro de la racine carré
|
Cahier de bord: On colle de `puzzle deplié <./B1_Puzzle_Pythagore.pdf>`_, on écrit l'égalité des aires.
|
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==============================================
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|
||||||
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|
||||||
On donne un triangle qui a besoin de la racine carré pour être calculé. Par tâtonnement les élèves essaient d'approcher une valeur. On introduit ensuite la racine carré.
|
Étape 4: cette égalité des aires est-elle vraie pour tous les triangles?
|
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|
========================================================================
|
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|
|
||||||
|
On pose cette question aux élèves. Ils doivent y répondre en illustrant. Cette étape va permettre de continuer à habituer les élèves à ces calculs d'aires.
|
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|
|
||||||
|
Cahier de bord: On écrit que ce n'est le cas que pour les triangles rectangles.
|
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|
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|
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|
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@ -33,9 +33,14 @@ Sur la durée on cherchera à travailler les fractions avec un axe.
|
|||||||
Étape 3: Addition de fractions
|
Étape 3: Addition de fractions
|
||||||
==============================
|
==============================
|
||||||
|
|
||||||
Additions entre fractions avec l'illustration soit en tablette de chocolat soit avec un axe.
|
On donne 4 additions de fractions. Les élèves doivent faire les calculs et les illustrer avec des dessins à chaque fois.
|
||||||
|
|
||||||
Cahier de bord: On écrit quelques exemples de calculs bien rédigés.
|
$$ \frac{1}{4} + \frac{2}{4} = ...$$
|
||||||
|
$$ \frac{2}{10} + \frac{7}{10} = ...$$
|
||||||
|
$$ \frac{1}{5} + \frac{5}{10} = ...$$
|
||||||
|
$$ 1 - \frac{3}{4} = ...$$
|
||||||
|
|
||||||
|
Cahier de bord: On écrit des bonnes réponses illustrées et des mauvaises réponses en expliquant ce qui ne marche pas.
|
||||||
|
|
||||||
Sur la durée, on fera des exercices du même type.
|
Sur la durée, on fera des exercices du même type.
|
||||||
|
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user