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Correction Maths Semaine 6 Jour 1

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Correction Maths Semaine 6 Jour 1 CORRECTION MATHS SEMAINE 6 JOUR 1 : Page 42-43 1/Je suis le Mont-Blanc (en France) avec 4807m. 2/ Je suis le Mont Zugspitze (j’aurai aimé vous entendre le prononcer en classe ) avec 2963m. 3/ Le mont Snezka en Répubique Tchèque (1+6+3 = 10 et 1603 est impair contrairement à Haltiatunturi qui faisait aussi 10) 4/ Le Mont Rysy en Pologne. 5/ Le mont Torre au Portugal (1993m). 6/Le Mont Olympe de Chypre (1952m), Haltiatunturi (1324m), le Mont Kékes (1015m), Carrauntoohil (1041m), Torre (1993m) et Senzka (1603m). 7/ 1) Kebnekaise (2111m) /// 2) Mont Rysy (2499m) /// 3) Moldoveanu (2543m) /// 4) Gerlachovsky slit (2663m) /// 5) Mont Triglav (2863m) ///6) Mont Olympe de Grèce(2918m) /// 7) Musala (2925m) /// 8) Zugspitze (2963m) /// 9) Mulhacén (3478m) /// 10) Grossglockner (3797m). 8/ a = Haltiatunturi /// b = Kebnekaise /// c = Carrauntoohil /// d = Snezka /// e = Mont Rysy /// f = Gerlachovsky slit /// g = Zugspitze /// h = Mont Kékes /// i = Grossglockner /// j = Mont Banc /// k = Mont Triglav /// l = Grand Paradis /// m = Moldoveanu /// n = Torre /// o = Musala /// p = Mulhacén /// q = Mont Olympe de Grèce /// r = Mont Olympe de Chypre. (T’es-tu demandé pourquoi ces deux montagnes avaient le même nom ? As-tu une hypothèse ?). Jour 2 : Page 202 A première cet exercice me semblait sympathique et plutôt facile à faire. Puis j’ai eu quelques appels mardi matin. Navré, je n’avais pas réalisé qu’il y’avait des fractions !! Donc je vais essayer d’être hyper détaillé pour que vous compreniez. 1/ Déjà il fallait comprendre le vocabulaire : Guindant = la largeur du drapeau (ce sera notre unité, je l’appellerai « U ») Battant = La longueur du drapeau qui vaut 1,5 x U. Le rayon du grand cercle imaginaire qui vaut 1/3 de U. C’est-à-dire que si on coupait la largeur du drapeau en 3 bouts, le rayon serait grand comme un seul de ces petits bouts. Le rayon des petits cercles imaginaires autour des étoiles valent 1/18 de U. C’est-à-dire que si on coupait la largeur du drapeau en 18 bouts, le rayon serait grand comme un seul de ces petits bouts. - On peut donc facilement remplir la dernière colonne du tableau : Si U = 9, la largeur vaut 1,5x9 soit 13,5. Si U = 9, le grand rayon vaut 1/3 de 9 (je coupe 9 en 3 morceaux ça fait 3 et 3 et 3) donc le grand rayon = 3cm Si U = 9, le petit rayon vaut 1/18 de 9 (je coupe 9 en 18 morceaux, ça fait 18 bouts de 0,5) donc le petit rayon = 0,5cm Ensuite je peux utiliser les propriétés de la « PROPORTIONNALITE ». C’est-à-dire que si j’agrandis la largeur, la longueur ou un rayon du drapeau, je serai obligé de faire la même chose avec toutes les autres mesures pour que ça ressemble au même drapeau. Si je multiplie par deux la largeur, je multiplie aussi par deux la longueur et les rayons. Dans les indices qu’on nous a laissé dans le tableau, - Dans l’avant dernière colonne : on voit que 6 c’est le double de 3 (de la dernière colonne) donc on sait qu’on a doublé TOUTES LES MESURES de la dernière colonne à l’avant dernière colonne. - Dans la 3e colonne, on voit que 1,5 c’est trois fois 0,5 de la dernière colonne. On comprend donc qu’il faut faire « x3 » avec toutes les mesures de la dernière colonne pour trouver la 3e colonne. - Dans la seconde colonne, on voit que 2 c’est 4 fois 0,5. On quadruple tout. - Dans la première colonne, on voit que 10, c’est 20 fois 0,5 (regarde ta règle, compte combien il y’a de fois « 0,5 » jusqu’à 10). On va donc multiplier par 20 toutes les mesures de la dernière colonne pour trouver la 1ère. 2/ Pour construire il fallait regarder la dernière colonne du tableau. Commencer par le rectangle (9cm sur 13,5cm). Puis tracer les diagonales : on trouvait le centre où on pouvait tracer le grand cercle avec un rayon de 3cm. Puis placer les 4 premiers petits cercles comme sur une horloge à minuit, 3h, 6h et 9h sur les deux tracés qui coupent le grand cercle horizontalement et verticalement. Puis avec ton compas ouvert à 3cm (comme pour le rayon du grand cercle), tu places la pointe sur le centre de minuit ou 6h puis comme pour une rosace, tu traces un petit trait, tu pointes là où tu viens d’en faire un etc. Jusqu’à avoir fait un tour complet. Tu te retrouves normalement avec 6 traits éloignés à la même distance. Puis tu fais la même chose mais en commençant à 3h ou 9h. Tu as donc 12 centres d’étoiles éloignés à la même distance. D’ailleurs…tu viens de couper ton cercle en 12 parts égales… on en revient aux fractions ! C’est fou ;) Tu n’as plus qu’à dessiner à peu près les étoiles et…colorier ! Jour 3 : p203 Là, il fallait suivre la construction. Reproduire la même chose que le manuel n’a pas de sens, tu verras bien si tu t’es trompé ou pas. Si tu n’as pas réussi, envoie moi un mail pour que j’essaye de t’aider Je peux cependant te rappeler le vocabulaire… - Un diamètre c’est un trait qui PASSE PAR LE CENTRE du cercle et qui touche deux bouts du cercle (il vaut 2 rayons). - Un rayon c’est la moitié du diamètre. Il va du centre à n’importe quel bout du cercle. - Perpendiculaire ça signifie que deux droites se croisent en ANGLE DROIT. - Le sommet c’est la rencontre de deux traits d’une figure. Par exemples les coins d’un carré ou les pointes d’une étoile ;) Evidemment, il ne fallait pas faire le « C ». Mais si tu l’as fait, prend toi en photo, je cacherai ton visage et la mettrai sur le blog pour montrer à tes camarades ton beau drapeau .
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