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+\author{} +\date{Mars 2018} +\title{Tableau rayon et périmètre du cercle} +\tribe{Sixième} + + + +\pagestyle{empty} + +\begin{document} + +\begin{exercise}[subtitle={Rayon et périmètre}] + Complète le tableau avec les mesures des disques à ta disposition puis répond aux questions. + + \begin{tabular}{|c|*{6}{p{2cm}|}} + \hline + Rayon & & & & & & \\ + \hline + Périmètre & & & & & & \\ + \hline + \end{tabular} + + \bigskip + + \begin{itemize} + \item Expliquer votre méthode pour mesurer le périmètre des disques. + \item Quel serait le périmètre d'un cercle de rayon 20cm? + \item Expliquer votre méthode pour calculer le périmètre d'un cercle quand on connait son rayon. + \item Quel serait le rayon d'un cercle de périmètre 100cm? + \end{itemize} +\end{exercise} + +\vfill +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{1} +\vfill +\printexercise{exercise}{1} + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git 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champs}] + Deux frères ont hérité de 3 champs. Ils doivent chacun en choisir un et le dernier sera donné à la ville. Voici les 3 champs: + + \includegraphics[scale=0.9]{./fig/champs.pdf} + + \begin{itemize} + \item Le premier frère, Abdou, veut le champ avec le plus d'espace pour ses chèvres. + \item Le deuxième, Ikam, est d'accord pour lui laisser ce champs. Par contre, il ne veut pas perdre trop de temps pour mettre une clôture. Il souhaite avoir le champ qui lui demandera le moins de clôture possible. + \end{itemize} + Quel champ vont prendre chacun des frères? +\end{exercise} +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/6e/Geometrie/Aire_perim_cercle/G2_tableau_rayon_perim.pdf b/6e/Geometrie/Aire_perim_cercle/G2_tableau_rayon_perim.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1c676576fe8df2a993bc19f87f0010b1a1edb481 GIT binary patch literal 12637 zcma)j1#BfjlBJp1ZEDjuGcz+YGq%5(nccSA%*@Qp%*@PgGc&W>_VwJ%+>Nv=?UqWa zjI5~2(32uE^z@QUQB<6ciJlFPY<6*I6^fnmL;TIN8|%|GeNB z#4W6yfsOzMacd)IpeXQ%oe2<*pC8W2*%4@D1LwYenI@-z%Y+hq{ffbVMX=||n_aj0 zLoIx;tf);1Nhw#YFjf#?`F_o_rUwl}MeHyxakx;qdf0UQ*kENgTuL}zI*_duK?v35 zmZPf(!i}cI_EMd>U!cww+Y|Jut)pwut(y&4tv8_>=*I9;y+i- z_Y3X@xqrQ+22Dd>M(KIDD-3uV&3axQ5)#ZYj*m-={g$$J*WeoicRvT$EL^#tB_J2<&7y7 z|6rao5mM%_({HA{!B5Yzid-_-x`@iP6-WrlJu)X%bYev-<@yf0NE?N;h!+K687&Td zrVKWvo@<+5iJpK+<0#8>dT7FHiA1}<_R!8(qdSdx|8%zZ$8*kc<-=$m--7*;YbvTi z3^zlrZ8Mhwv9TQau30IOvW?qzB*iJT;ek6w+>Vx(kG-6MVqS7+!`POo<=6Da!=YFO z=&6*!=bSyWwruvFwH|GR60=L-{k=&UV}^Xle#Sf4eFyZ_Z#to7f#6ncFJTSL>o#yK zc-J>Y3{Ch-$YnIR%GX*j&8UMd*AP%H^B?X#_)rhxI-d+Y2p#WDD@cKv)@*$ZZrI5K zo;XiK+6d2gz6o?tgQa{&OAe?e0k#5kP!L+$I}|P0&4lkphwKt0YPL?S%KscRu(pre zM2nYi{Dp{BtiO$y)dpnk+w+2PtHiNyovFIHe|5+wfV1#yB?^CyB+bCQ1{ zbH)C=e#jx&^lUpTg{{{Rz$~F`$%umh@x=WucUe#|E6ATVgJV_jQs0F z^e+%`&~g?ypsmTja_#TvA9>2e`d<>33Bbh2#`f>@Wd^XYb8`LLVgWGzdkA1<;pFc{^S@;^i>e3Jab%3uk;{q}dyC zFc>ZnPz_;9%Dy-dwCEQxQj{bRIu7D!QF8YVqqSab2s=2`<1=w}u+MoY^L}eXL9B=o zG>drb-ZZd3tQ8`Fc4G@|dq@a0DtN(-Q4>2d?8%^I$Je!hc->rgS{&DOR}8qAIbwGY zqgxX+TreaECb2{_GdLg?sTHRicelVJwHzg?m8~N z1|0ADJ(PX-KQau1KDd}b?!E|DD0n>fX1}{@%orF1k(};;)ncpQ;aozsa(cwqepTu0 zFlpvfAjPne#o7y`z{HA=j{d1|8$%3v>ir=_x_;cg&~-o0G=5t zN&$zP$!>Vi<|K#$);pI724W3zX^Z_$0k9AavekWn^0S%4S^zv*1;Vg2r$`_U4DDyy zhj92E$mFS==#P9qA_yA^!`1B_E|B1N#Q9NuKaq9f{+k}5b*+8|N|}AMn;r`ybNWud zzuK{|__1xN35ZZK`2Yk>f zS(lo8c5A+Ql&6%>)sV!)3*87Ev!=J7Xb%}Z*kwiaA9BS2U(o`fIlZq}xEGGr-G0~z z(6=?@<9(;no$Pb&42m4gxdAXCVxA*uj@V1N9pX!;`PtNm@q0+cFe zDaOtT(?yN+oWNSW)yIfS?HzU;^h_qwjH@^oFaVm*Zh64UKU=wojb}M8Af>Hxts{l8 zq_r`9b|RFWaf(NikUt`42FpO_;E7v#Oj`z|ZybZg;p_&5>LXlN9C1w`iaSSKgb8Ii zO|o!&RbGoq?ilO5$eb9W9DE)NOJbpBrYT?B$5TjgYV^SsW$X^yuBXoKrr=h`KEgLP zW6)(W^V_PQo4q_qW5G{@F4dzi<2mX}=%%D(HXjipp`6|W3jZ7vmIciQ$&s?EO%RS%y6f+bk`Q2%1{W%=vKbN$*#L zy}b~rAyRWIbeC(9nXd^4^$~w(&ib!+YUTtfq~S$`vUWPPA(HkPsHiwPycJFSA}$El zhP!V){QZ7gb<&=W@anW|ea0i?i`#;L&!A#dZj@67`oh^V{HkUxCtgdjI)%A-o&uE- z#<`yZ8*%)t26*~wk!(U5{Z zIg3u~pzly#AE#w?8Z|Klc!%hsn|PxazAhY^YTzL+4)>wnvMa~yuzMe=`Yi#Z zB7c?3C)kEE30bs>=uyohpbw}dd7?QkbbUpSwJx3=1kCOgb5BV%xKHG({jj>bAu4oGr+ zv|}vc);e{CW>glV z^-QYx{j-98)XXu!CU0ROkTuv=k zc=tz0!7mNXL77MJ;vg+tktpACZ19;U~D2B#AjH{^__oxA2b67 zzil!YTX1Vu@aU|jjm{a-T-5|EnLX8nN+tey)}8-8jhaxlv^*hy!!2E|q!WC8gnd(_ z$V6Vve*VbB5EESq?~yGz^(bX#Z`yG)X6@Qb_$0`4dq5{X5pLzhoEQgsH>4`63fTZ? z>JVGC7s)LYVul)kHLY`i#h^;sjdq_IW>-m`-Am}+^<(dt=x~h*k?pM_En7EaB z4fG0QZeW<}BCPCkUDAxPYS0bZRZPX(54-j#o<>4;+#Vbfu$>9YM6~X4PBfs6rG6Mm zl*gU8%!g{$iO6&=Lq@H7&nGY#>`pjJ+*x6<8lc!7p)fK9Y+(!-t+#sljuD8RPoVJG zWX#av9I%u)f2LAp$|#zzpVIKz!+Pnl3hcb#jg54?S4(OV6sp%v84P<{c2DY0Cdgxx z^O0&HAExfw&3R6PPUGUoWA@kk<*^vMUck3Ov-fb#7I-E}*u9{cY-$QHS3HYW83gR_ z@^X)@qxf&eWwGcpZXM0r6RURPl9S!r^w^J9ueT_vC6sLYs0dHWIbW_H5`;#Noe)H> zm3MXq*1T!IKX$YP(GMo#?%i5}jRP%!-y|UnP%US?KczW`Zj~0MM!YQY!@_))sGXy8 z1?}@akc&Bms+k`K(4C0sO>3&id%OKXm;2lblpdNl_e564`0T0~j4vcAi?O*$k=&8k zxOK1c7s3O&{{XP!%J=~)O7F5~aiEJUb33P1tp{N<9&Y;KCz=HZu95I|8$&S{7j~R> zCZu-tBd1ik(;h8$q%fX9SA3bJE~NH@6eo)eFM+C*G&ioY<$RS5f^{yX1DzlDhd{b> z$>lgn*#enH_G6;>&%+Q;#c$s{&gLsPyCe&v*F*JNygr(IBI&$7ZW~Wy<3Xo5$~=qX5qVG)rQ+q=fu|tu}@#|uVGocd%W9j2H55VOhbcY@g=9o zz3avc=b6$olgh5uu#nlh-wyLRIyPW{PhOOUz5#x-&TYqYvA^PPvI*fX2# zRlc_X-deDB*k0%MlC_%Z&X=VbMNNa1$8@NZoM)rbigfHmE!P|Wd(nN;vuNY6$4vzR z34nzBDTqz62mQMBTyp6J&ke8W50_9~;I}0gCoQhLFV2|q3o_vS)ILNs#3=vp2gccz z8~H1|R&FBI;WABu#p!BMxZsAnKdDw9lR>j(y{;r=r{cwyuNwECDp-8M&r&}x|0`Op zpIr-#jfRs37Nk=-a@OvD-orpq#Lv=?S?fb^xH6vw`F57$V`ajN{LJK2d;`9H%Tx8>5s}s77ufzGTpi zyDX|zhFx?Lkc`_Da$5EHYDAOBsn*3TNbl;*b&@k3xb+8Sux6f7In>9hiZYZdAW^0i=!MW%(U)@oub8^tI`W|DW=!TgQXgnqcGwN;lygvvC8x35Auq5 zrpJTUsj>aHQAt(}R`DABiVbYdNE?^Nnz1>)8kwj4u69BabM8;U=q>V%R}JfF4b*FW zE|11}ZSny)E(vWwzLTZz!2@J=(TVQ|9)eI{D*`c4@OqP)(9oY->T7!F9B}fY-a!Y^ssqfXLvdgjZ(JCLNXda35=@k00Jh)C@iRF5e`K zPezmiOq=T{ex(qejT(M}x8j(<{x{sreG$-x{I=Zkw4M>6r=uYW8eAVhQxL036kA)0Ah;qfIVB|tZF|0F z7zPy@zV%H^Osci@0Yww~MZge^9-Q-gpdbyv8DrKCV+?O#Ts0e?}!wI`A7hg9?@**(FP z!tNahzxiFw3}*x1Gl!N06&4l-?tWRTNr8iknt?ld#6cQahbrD*N9@f}kQmEIIX;IP zJ!mW`m=A*8{~f+I;5TtBDREEH18?RI2nq;P%j>h&09u52E4ZwvT{Q$)=%>El<)p3d zfTARH%vX_>Hg`WLv88snA{nB8&+#)BG?-8uc;_!cG{c{eYmwZY)-Uo@kB%87b-c%Q(W zXS?n%)(a|rm_jYcX%EY z{L4*`5H_#?A4Rg29WLn^iiwk!wEBkN-w1hP zOc%!}!+KHEZ@0P*8P)xY_$B>N{48LGI~XOzxq)vh$IRznpNv>v182!yrD*7g{>BX; 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On donne 4 disques aux élèves et on leurs demande de mesurer leur rayon et leur périmètre. Ils inscrivent chaque mesure dans un tableau. +Comment mesurer le périmètre d'un cercle. On donne 4 disques aux élèves et on leurs demande de mesurer leur rayon et leur périmètre. Ils inscrivent chaque mesure dans un `tableau de proportionnalité <./E2_tableau_rayon_perim.pdf>`_ . + +`Liens Rayon-Périmètre - fiche de groupe <./G2_tableau_rayon_perim.pdf>`_ Bilan1: méthode de rouler sur un axe et avec un morceau de ficelle. Bilan2: multiplication pour passer du rayon au périmètre. -Extension possible: calculer le rayon du badamier. +Extension possible: calculer le rayon du badamier ou d'une colonne du collège. Étape 3 ======= -Cercle où l'on cherche à calculer le périmètre. +Cercles où l'on cherche à calculer le périmètre en live au tableau. + +Aller vers le calcul du périmètre du coeur. Étape 4 ======= @@ -37,7 +41,7 @@ Formule de l'aire du cercle et exercices en live. Étape 5 ======= -Tache complexe: 2 fermiers choisissent un champ parmi 3 dispos (rond, triangle, rectangle) +Tache complexe: `2 fermiers choisissent un champ <./E5_TC_champs.pdf>`_ parmi 3 dispos (rond, triangle, rectangle) - 1 veut le plus de place pour ses poules - l'autre veut utiliser le moins de grillage possible.