09 février 2009

Les nombres décimaux - le damier

Mon enfant commence au centre : vert c'est l'unité.
Il place au dessus du bleu : 10 fois plus, des dizaines, puis 100 fois plus que l'unité soit des centaines ... et mille fois plus, des milles, des unités de mille donc vert de nouveau.

En dessous de l'unité verte, 10 fois moins se sont des dixièmes en bleu clair (référence à l'expérience de la dilution),
puis 100 fois moins rose, des centièmes,
1000 fois moins vert clair, des millièmes,

Sur le coté de la même façon : 10 fois plus donc bleu, cent fois plus donc rouge, mille fois plus donc vert
vers la droite du carré de l'unité : 10 fois moins ... des dixièmes, en bleu clair
centièmes en rose, millièmes en vert clair.



Ensuite, vient le produit d'une dizaine par une dizaine (bleu par bleu) soit ...une centaine (10x10x=100)

puis une dizaine par une centaine soit un mille.
bleu par rouge donne vert
(10x100=1000)

et ainsi de suite on forme donc progressivement le damier de la multiplication.

puis on continue vers le bas;
dixième par dizaine ... l'unité
(0.1 x 10 = 1)

dixième par centaine ... dizaine
(0.1 x 100 = 10)

dixième par mille ... centaine
(0.1 x 1000 = 100)

voilà et l'enfant continue ainsi par déduction successives.
l'auto-correction, ce sont les couleurs du damier, bien harmonieuses.


Vous avez trouvé ?
millième par millième ?
1 millionième bien sûr !

66 commentaires:

libellule a dit…

Que c'est beau! C'est simple, c'est intelligent, c'est harmonieux...
J'ai hâte de découvrir ça à mon tour. Peut-être au 4ème stage (dans une semaine) ou au 5ème...

madalen a dit…

C'est joli!
Il faut que je fasse cela avec ma grande... :-))

Luc a dit…

Bonjour,

Je cherche à comprendre l'utilisation de ce damier qui est très intéressant mais pourquoi 1000 est de la même couleur que 1 ? donc pourquoi 1 est l'équivalent de 1000 ?
J'apprécie votre blog pour la plupart des explications données sur l'utilisation du matériel Montessori.
Merci pour votre travail.
Bonne continuation !

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