ࡱ> .( !F/ 0|DArialSansTt(0(z[ 0 DGaramondsTt(0(z[ 0  DTimes New Roman(0(z[ 0 0DWingdingsRoman(0(z[ 0 @DComic Sans MSn(0(z[ 0 B A .  @n?" dd@  @@`` ( \Xb/,,() \4 "#% &,*+,12S45789:;<=>?@ABCDEFGHIJKLMNOPQRST 0AA@8  3ʚ;ʚ;g4KdKd@z[ 0ppp@ <4ddddl 0,t 80___PPT10 pp?  %A%XCalcul Mental, rflchi, automatis, pos& .?-&$EStage de circonscription Capesterre Belle Eau, 27-28-30 novembre 2006 #"Les valuations : une photographie##("Les valuations : une photographie##("Les valuations : une photographie##( Conclusion partielle}Des rsultats relatifs pas si mauvais, mais sur des activits trs simples qui devraient amener des rsultats bien meilleurs.(~hMise en situation "Les diffrentes facettes du calculLes caractristiquesLe calcul mental automatis En mmoire Rapide Ex. : les tables Le calcul mental rflchi Procdures personnelles Raisonnement Rvlateur des comptences en numration notammentXZ#ZZXZ#X  Quelle place rserver au calcul?    Les diffrents moyens de calcul. 1Pourquoi le calcul mental est-il si fondamental ?22(Calcul d usage, utile dans la vie ordinaire. INDISPENSABLE pour le calcul pos. Moyen privilgi de contrle. Calcul rflchi : lien entre raisonnement et calcul (choix et mise en Suvre d'une procdure adapte), utilisation de connaissances sur les nombres et les oprations sur les nombres. Indispensable l'acquisition de nouvelles connaissances, leur reprsentation mentale. Aide la rsolution de problmes : se ramener un cas qui peut tre trait mentalement..-  &Envisager le calcul pos sous 2 axes :''(zBonne matrise dans des cas dits simples Travail orient vers la comprhension (et la justification) des techniques {yPoint sur le calcul posAppui la comprhension de la numration dcimale de position (Cycle 2). Entranement au calcul mental de sommes de nombres infrieurs 10. Appui la comprhension de l criture virgule (Cycle 3).Point sur le calcul posLes difficults lies aux 3 techniques opratoires  Casser de la dizaine Recherche du complment Invariance de la diffrence par ajout chaque terme Le choix relve de l quipe du Cycle 3. Appui la comprhension de l criture virgule (Cycle 3).B4dd4ddPoint sur le calcul pos1Erreurs dues la mconnaissance des tables plus nombreuses que celles dues la technique. Ncessite la connaissance: Des tables (rpertoires ventuellement) De la numration dcimale (retenue) De la rgle du zro (pour celles plusieurs chiffres) De la distributivit (pour celles plusieurs chiffres),wwPoint sur le calcul posDivision euclidienne de 2 nbres entiers uniquement Connaissances pralables : Nbre de part / valeur d une part Tables de multiplication Dtermination du nombre de chiffres du quotient Soustraction& & (NyNy,/uLe calcul instrumentL utilisation d une machine ou d'un logiciel doit tre contrle (ex. : calcul approch) Aide de la calculatrice dans la rsolution de problmes Apprentissage de certaines fonctionnalits (ex. : mmoires) Machine ou logiciel, source de problme (ex. : touches en panne)Z'Les comptences vises en calcul mental(((Les tables (+ et x) Additionner/soustraire des dizaines ou centaines entires Complments la dizaine suprieure Complment l entier suprieur (un chiffre aprs la virgule) Multiplication ou division par 10, 100 ou 1000 "'Les comptences vises en calcul mental(((Organiser et effectuer mentalement (ou avec l aide de l crit) un calcul additif, soustractif, multiplicatif ou une division Organiser et effectuer des calculs du type 1,5+0,5 ou 2,8+0,2 ou 1,5x2 ou 0,5x3. Se limiter des cas simple pour le calcul mental. Savoir trouver mentalement le rsultat numrique d un problme donnes simples. TS, Les pratiques de classe`Enoncs oraux / noncs crits : une variable A l crit, l lve  voit les units, dizaines& . A l oral, il doit s appuyer sur ses comptences en numration. Oral : travail de la mmorisation (consigne, calculs intermdiaires& .). Les conditions pour la mmorisation : Bonne reprsentation mentale des nbrs (reprsentations images, symboliques& ). Organiser la progression de la mmorisation. Etablir les relations entre les nombres.X.&.&- Les pratiques de classeLa CONSTRUCTION des tables de multiplication : En priorit les tables de 2 et de 5 (les plus faciles, voir evals CE2). La table de 4 (c est 2x2). La table de 8 (le double de 4). La table de 3 (A apprendre). La table de 6 (le double de 3). La table de 9 ( partir de celle de 10 ou de celle de 3). 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Z ZB t s *1 ?\ \Z `B t 01 ?' `B t 01 ?'Z Z H t 0޽h ? 3___PPT10}. v+o`ND' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*tD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*tD' =-g6B fade*<3<*tD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*tD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*tD' =-g6B fade*<3<*tD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*u%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*uD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*uD' =-g6B fade*<3<*uD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*u%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*uD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*uD' =-g6B fade*<3<*uD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*u%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*uD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*uD' =-g6B fade*<3<*uD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*3u%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*3uD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*3uD' =-g6B fade*<3<*3u+8+0+t +}    $(  r  S  T `}   r  S oT `   H  0޽h ? 3___PPT10i. {Q+D=' = @B +PL   V N  (  r  S D| T `}     0}z a,$ 0 U!Effectuons les calculs suivants :" 2"  0pgW ,$ 0 9126+9 2  0  g ,$ 0 936+99 2  0 g ,$ 0 :7745-9 2  0< j ,$ 0 = 3600+1400 2   0|pM W ,$ 0 9340-8 2  04 M ,$  0 940x25 2  0p)W ,$  0 920x18 2  0 M ,$  0 :100-43 2  0` M j ,$  0 9200:8 2  0  ,$  0 A Moiti de 130 2  0@JT',$ 0 OComment avons-nous procd? 2H  0޽h ? 3@@___PPT10z@.3p>i+D=' = @B Di=' = @BA?%,( < +O%,( < +D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =-g6B fade*<3<* D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =-g6B fade*<3<* D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =-g6B fade*<3<* D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =-g6B fade*<3<* D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =-g6B fade*<3<* D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*++0+ ++0+ ++0+ ++0+ ++0+ ++0+  ++0+  ++0+  ++0+  ++0+  ++0+ ++0+ +    R(  r  S  T `}    q  R #"_q  ^  ZH_ж_ж?6  VNF___PPT9(  nTechniques opratoires<(" dcCX  Z _ж_ж?6  VNF___PPT9(  hProcdures perso<(" dcC^  ZX_ж_ж?q6  VNF___PPT9(  nAid de traces crites<(" dcCR  Z@_ж_ж?T6 VNF___PPT9(  b En mmoire< (" d cCX  Z_ж_ж?T6 VNF___PPT9(  hProcdures perso<(" dcCN  ZP_ж_ж?qT6 VNF___PPT9(  ^Mental<(" dcCR  Zx_ж_ж?TVNF___PPT9(  b Automatis< (" d cCP  Z_ж_ж?TVNF___PPT9(  `Rflchi< (" dcCN  Zt_ж_ж?qTVNF___PPT9(  ^Calcul<(" dcCZB  s *1 ?qTTZB  s *1 ? 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ZB & s *1 ?q6 6 `B  01 ?q`B  01 ?qq `B  01 ? `B  01 ?q  H  0޽h ? 3___PPT10i.9 *+D=' = @B +z+   P(  r  S D T `}     S T `<$D 0  H  0޽h ? 3b)Z)___PPT10:).NU7+YD)' = @B D(' = @BA?%,( < +O%,( < +D' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*'D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*'D' =-g6B fade*<3<*'D' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*'.%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*'.D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*'.D' =-g6B fade*<3<*'.D' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*.?%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*.?D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*.?D' =-g6B fade*<3<*.?D' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*?Y%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*?YD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*?YD' =-g6B fade*<3<*?YD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*Yq%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*YqD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*YqD' =-g6B fade*<3<*YqD' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*q~%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*q~D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*q~D' =-g6B fade*<3<*q~D' =%(D' =%(DI' =4@BB5BB%(D' =1:Bvisible*o3>+B#style.visibility<*~%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*~D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*~D' =-g6B fade*<3<*~+   PR(  r  S   T `}      0D! P0,$  0 v.Quels sont les besoins en calcul du futur acteur social et professionnel? Quels sont les besoins en calcul pour l apprentissage des mathmatiques? ,LK   0'o FDeux questions : 2   0*jB ,D aprs Roland Charnay 2H  0޽h ? 3  ___PPT10p . %+ze/D ' = @B D ' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*LD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*M%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*MD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*M+8+0+ +   `+(  r  S 8 T `}    + 0$: @TtF ,$  0 i5Le calcul mental Le calcul pos Le calcul instrument66",H  0޽h ? 3___PPT10.  G+y#D' = @B DJ' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*+%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*+D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*+ %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*+ D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+ D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*+ 6%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*+ 6D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*+ 6+8+0++ +   0V(  r  S H Tw'gG     <I T<$  0    0$K  ,D aprs Roland Charnay 2H  0޽h ? 3___PPT10|. }+ze/D' = @B D' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*-%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*-D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*-D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*-P%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*-PD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*-PD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Pn%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*PnD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*PnD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*n$%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*n$D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*n$D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$}%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*$}D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*$}D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*}%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*}D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*}+8+0+ +>   (  r  S \u T `}     <Xv TT <$  0    0w  ,D aprs Roland Charnay 2:  0V I ,$ 0 XLe calcul pos n est plus un calcul d usage.2- 2 H  0޽h ? 3___PPT10. tS+D' = @B D' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*.%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*.D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*.D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*/{%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*/{D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*/{D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*+p+0+ ++0+ +   @&(  x  c $8 T `}     0$j}  JL addition 2   < T'g-<$ 0  H  0޽h ? 3___PPT10. w+̲D0' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*J%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*JD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*JD' =-g6B fade*<3<*JD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*J%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*JD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*JD' =-g6B fade*<3<*JD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*+8+0+ +"   P!(  x  c $ T `}     0jS ELa soustraction 2  < T'g,<$ 0  H  0޽h ? 3___PPT10. w+cDZ' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*4D' =-g6B fade*<3<*4D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4K%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4KD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*4KD' =-g6B fade*<3<*4KD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Kc%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*KcD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*KcD' =-g6B fade*<3<*KcD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*c%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*cD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*cD' =-g6B fade*<3<*cD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*+8+0+ +"   p#(  x  c $ T `}     0jS GLa multiplication 2  <h T@'g,<$ 0  H  0޽h ? 3___PPT10. w+cDZ' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*\D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*\D' =-g6B fade*<3<*\D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*\w%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*\wD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*\wD' =-g6B fade*<3<*\wD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*w%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*wD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*wD' =-g6B fade*<3<*wD' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =-g6B fade*<3<*D' =%(D' =%(DV' =A@BB5BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*2%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*2D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*2D' =-g6B fade*<3<*2+8+0+ +"   (  x  c $ T `}     0jS A La division 2   < T@q,<$ 0  H  0޽h ? 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