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PROPORTION

8ème Education de base - Algèbre

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PROPORTION

Domaine	Science	Sous domaine	Mathématiques
Section	Cycle d'Orientation (C.O)	Option	Education de base
Discipline	Algèbre	Classe	8ème
Matériel didactique	Calculatrice Scientifique	Auteur	SCHOOLAP.COM
Objectif opérationnel	A la fin de la leçon, l'élève sera capable de définir, calculer, comparer et distinguer les détails sérieux sur la proportion.
Réference	Bibliographie : programme national de math, 2005 KAYEMBE et Cie, maîtriser les maths 3, page. 76
Activité initiale
Rappel Sur la radio on a écrit 128 000 Fc + 25 % de TVA. Calculer la somme à payer.		Rappel Sur la radio on a écrit 128 000 Fc + 25 % de TVA. Calculer la somme à payer.
Motivation Comment nommez-vous l'écriture :		Motivation Comment nommez-vous l'écriture : C'est la proportion.
Annonce du Sujet Qu'allons-nous étudier aujourd'hui ?		Annonce du Sujet Aujourd'hui nous allons étudier la proportion.
Activité principale
Analyse Définir la proportion Une proportion est une égalité de deux rapports. a et d sont les extrêmes et b et c sont les moyens. Théorème : Dans une proportion le produit des moyens est égal au produit des extrêmes. Conséquences A partir d'une proportion donnée, on peut obtenir une nouvelle proportion : En permutant les moyens En permutant les extrêmes En permutant les deux. 4ème Proportionnelle Soit a, b, c trois nombres pris dans cet ordre. On appelle 4è proportionnelle à ces nombres, le nombre x tel que :		Analyse Définition Une proportion est une égalité de deux rapports. a et d sont les extrêmes et b et c sont les moyens. Théorème : Dans une proportion le produit des moyens est égal au produit des extrêmes. Conséquences A partir d'une proportion donnée, on peut obtenir une nouvelle proportion : En permutant les moyens En permutant les extrêmes En permutant les deux. 4ème Proportionnelle Soit a, b, c trois nombres pris dans cet ordre. On appelle 4è proportionnelle à ces nombres, le nombre x tel que :
Proportion continue On appelle proportion continue, une proportion dans laquelle les termes moyens sont égaux. 3ème Proportionnelle Etant données deux nombres a et b dans cet ordre, la 3ème proportionnelle est x tel que : Moyenne proportionnelle Etant données deux nombres a et b de même signe, la moyenne proportionnelle à a et b est le réel x tel que :		Proportion continue On appelle proportion continue, une proportion dans laquelle les termes moyens sont égaux. 3ème Proportionnelle Etant données deux nombres a et b dans cet ordre, la 3ème proportionnelle est x tel que : Moyenne proportionnelle Etant données deux nombres a et b de même signe, la moyenne proportionnelle à a et b est le réel x tel que :
Synthèse
Qu'est-ce que nous venons de voir ?		Nous venons de voir la proportion.

Messages Timeline Exceptions Views7 Route Queries14 Models19 Gate Session Request

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