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Partage en parts inégales dont l'une est multiple de l'autre

Rappel

Partage 80 billes entre deux gamins. Combien aura chacun ? 

Motivation

36:3=?

55:5=? 

Quel est le verbe qui dérive de la division?  

Annonce du sujet

Quelle est notre leçon du jour ?  

Rappel

Partage de 80 billes entre deux gamins, chaque gamin aura 80 billes divisées par 2 donc chacun obtiendra 40 billes.

Motivation

36:3=12

55:5=11

C'est le verbe "diviser "qui dérive de la division.     

Annonce du sujet

Aujourd'hui, nous allons résoudre les problèmes  sur les partages.  

Simple type

On partage un ruban de 72 cm entre deux fillettes, la part de la première fillette vaut trois fois que celle de la deuxième .

Quelle est la longueur du ruban de chacune d'elles ?  

Simple type

On partage un ruban de 72 cm entre deux fillettes, la part de la première fillette vaut trois fois que celle de la deuxième .

72 cm représente la somme à partager

Solution

Part de la 1ère= 18*3=54 cm

Vérifie: 18 cm+54 cm=72 cm

La 2ème aura 18cm comme part

Le partage a été fait en 4 parts, car la première fillette vaut 3 parts, ce qui revient à dire que le partage est à effectuer en 4.  

Que représente 72 cm?

Que vaut la part de la première à celle de la deuxième ?

Quelle est la longueur du ruban de chacun d'elles?   

La part de la première vaut trois fois celle de la deuxième.

Part de la 2ème = 72 cm:4=18 cm.    

Résolution au tableau

Trouver la surface d'un champs rectangulaire, sachant que la largeur est 82 cm et la longueur le triple de celle-ci.  

Trouver la surface d'un champs rectangulaire, sachant que la largeur est 82 cm et la longueur le triple de celle-ci.

Largeur=82 cm

longueur =82 cm*3=246 m

Surface= 1 m 2*82*246=20172 m 

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